A stress evaluation method, device, equipment, medium and product of a pressure vessel
Patent Information
- Application Number
- CN202511263776.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-09-05
- Publication Date
- 2026-10-09
- Estimated Expiration
- 2045-09-05
AI Technical Summary
[0005]本发明实施例提供了一种压力容器的应力评定方法、装置、设备、介质及产品,以解决传统的应力评定手段过于片面的问题,提高应力评定的准确度和可靠性,以满足现代工业对压力容器的精准应力评定的需求
[0021]According to another embodiment of the present invention, a computer program product is provided, including a computer program that, when executed by a processor, implements the stress assessment method for pressure vessels according to any embodiment of the present invention.
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Abstract
Description
Technical Field
[0001] This invention relates to the field of mechanical analysis technology, and in particular to a method, apparatus, equipment, medium, and product for stress assessment of pressure vessels. Background Technology
[0002] Pressure vessels are commonly used to store or process gases or liquids. During use, they need to withstand pressure from the inside or outside. They play an important role in many industries such as petrochemicals, military, aerospace and nuclear industries. Stress assessment is a crucial step in ensuring the safe and stable operation of pressure vessels.
[0003] Currently, the linear stress method is a widely used stress assessment method, which mainly uses the stress distribution cloud map of the pressure vessel as a guide to assess the stress of the pressure vessel at the point of maximum stress.
[0004] Pressure vessels typically have complex geometric structures such as nozzles and openings. In actual use, pressure vessels are also affected by unstable factors such as gravity, temperature changes, and load fluctuations. Therefore, stress distribution cloud maps cannot accurately reflect the true stress changes of complex structures, resulting in overly simplistic stress assessments of pressure vessels that fail to meet the demands of modern industry for precise stress assessments. Summary of the Invention
[0005] This invention provides a method, apparatus, equipment, medium, and product for stress assessment of pressure vessels, in order to solve the problem that traditional stress assessment methods are too one-sided, improve the accuracy and reliability of stress assessment, and meet the needs of modern industry for precise stress assessment of pressure vessels.
[0006] According to an embodiment of the present invention, a method for stress assessment of a pressure vessel is provided, the method comprising:
[0007] Obtain the finite element mesh model corresponding to the pressure vessel; wherein, the pressure vessel includes a main structure, a nozzle structure intersecting and connected to the main structure, and a connection structure arranged along the intersection line between the nozzle structure and the main structure;
[0008] Based on multiple circumferential angles along the intersection line, the first mesh node located on the intersection line in the finite element mesh model is determined respectively;
[0009] For each first mesh node, a first verification path along the thickness direction of the connecting structure in the finite element mesh model is determined based on the first mesh node, and linear stress analysis is performed on the first verification path to obtain first stress data;
[0010] The stress assessment result of the pressure vessel is determined based on multiple first stress data; wherein the stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle.
[0011] According to another embodiment of the present invention, a stress assessment device for a pressure vessel is provided, the device comprising:
[0012] A finite element mesh model acquisition module is used to acquire the finite element mesh model corresponding to the pressure vessel; wherein, the pressure vessel includes a main structure, a nozzle structure intersecting and connected to the main structure, and a connection structure arranged along the intersection line between the nozzle structure and the main structure;
[0013] The first mesh node determination module is used to determine the first mesh node located on the intersection line in the finite element mesh model according to multiple circumferential angles along the intersection line.
[0014] The first stress data determination module is used to determine, for each first mesh node, a first verification path along the thickness direction of the connecting structure in the finite element mesh model, and to perform linear stress analysis on the first verification path to obtain the first stress data.
[0015] The stress assessment result determination module is used to determine the stress assessment result of the pressure vessel based on multiple first stress data; wherein the stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle.
[0016] According to another embodiment of the present invention, an electronic device is provided, the electronic device comprising:
[0017] At least one processor; and
[0018] A memory communicatively connected to the at least one processor; wherein,
[0019] The memory stores a computer program that can be executed by the at least one processor, which enables the at least one processor to perform the stress assessment method for a pressure vessel according to any embodiment of the present invention.
[0020] According to another embodiment of the present invention, a computer-readable storage medium is provided, the computer-readable storage medium storing computer instructions, the computer instructions being configured to cause a processor to execute and implement the stress assessment method for a pressure vessel according to any embodiment of the present invention.
[0021] According to another embodiment of the present invention, a computer program product is provided, including a computer program that, when executed by a processor, implements the stress assessment method for pressure vessels according to any embodiment of the present invention.
[0022] The technical solution of this invention addresses pressure vessels with complex structures consisting of a main structure, a nozzle structure, and a connecting structure. It determines first verification paths along the thickness direction of the connecting structure at multiple circumferential angles of the intersection line between the nozzle structure and the main structure, and performs linear stress analysis on each first verification path to obtain first stress data. Based on multiple first stress data, it determines the stress assessment result of the pressure vessel. The stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle, providing a comprehensive stress assessment of the pressure vessel. This solves the problem of traditional stress assessment methods being too one-sided, improves the accuracy and reliability of stress assessment, and meets the needs of modern industry for precise stress assessment of pressure vessels.
[0023] It should be understood that the description in this section is not intended to identify key or essential features of the embodiments of the present invention, nor is it intended to limit the scope of the invention. Other features of the invention will become readily apparent from the following description. Attached Figure Description
[0024] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0025] Figure 1 A flowchart illustrating a stress assessment method for a pressure vessel according to an embodiment of the present invention;
[0026] Figure 2 This is a schematic diagram of a finite element mesh model provided in one embodiment of the present invention;
[0027] Figure 3 A cross-sectional schematic diagram of a finite element mesh model provided in one embodiment of the present invention;
[0028] Figure 4 This is a schematic diagram of the distribution curve of multiple first stress data provided in one embodiment of the present invention;
[0029] Figure 5 A flowchart illustrating another method for stress assessment of a pressure vessel provided in an embodiment of the present invention;
[0030] Figure 6This is a schematic diagram illustrating the selection of a grid node according to an embodiment of the present invention;
[0031] Figure 7 This is a schematic diagram of the distribution curve of a second stress dataset provided in one embodiment of the present invention;
[0032] Figure 8 This is a schematic diagram of the distribution curve of a third stress dataset provided in one embodiment of the present invention;
[0033] Figure 9 This is a schematic diagram of the structure of a stress assessment device for a pressure vessel provided in one embodiment of the present invention;
[0034] Figure 10 This is a schematic diagram of the structure of an electronic device provided in one embodiment of the present invention. Detailed Implementation
[0035] To enable those skilled in the art to better understand the present invention, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the scope of protection of the present invention.
[0036] It should be noted that the terms "first," "second," "third," "target," etc., used in the specification, claims, and accompanying drawings of this invention are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.
[0037] Figure 1 This is a flowchart illustrating a stress assessment method for a pressure vessel according to an embodiment of the present invention. This embodiment is applicable to stress assessment of pressure vessels. The method can be executed by a stress assessment device for the pressure vessel, which can be implemented in hardware and / or software and can be configured in a terminal device. Figure 1 As shown, the method includes:
[0038] S110. Obtain the finite element mesh model corresponding to the pressure vessel.
[0039] In this embodiment, the pressure vessel includes a main structure, a nozzle structure that intersects with the main structure, and a connection structure arranged along the intersection line between the nozzle structure and the main structure.
[0040] For example, the main structure can be a cylinder, a conical section, a flat cover, or a support, etc., and the shape of the pipe structure can be circular, elliptical, spherical, or square, etc., but is not limited to the example.
[0041] The connecting structure is used to enhance the connection strength between the main structure and the pipe structure. For example, the connecting structure can be implemented by welding or prefabrication.
[0042] Specifically, the finite element mesh model is a model obtained by discretizing the continuous structure of the pressure vessel using the finite element method. The finite element mesh model is composed of interconnected mesh elements with simple shapes, such as tetrahedrons or hexahedrons.
[0043] In one example, dimensional parameters of the pressure vessel are acquired, such as the dimensions and thickness of the main structure, nozzle structure, and connection structure. This dimensional data is then input into a finite element analysis (FEM) tool for geometric modeling. Material parameters of the pressure vessel, such as elastic modulus, Poisson's ratio, density, yield strength, and coefficient of thermal expansion, are also acquired and input into the FEM tool. In the geometric model of the pressure vessel obtained from the FEM tool, the inner and outer surfaces are determined, and a sufficient number of mesh seed points are set on both surfaces, especially in stress concentration regions to ensure adequate mesh node density in these areas.
[0044] Failure is prone to occur at structural discontinuities or abrupt changes in pressure vessels. In this embodiment, the connecting structures, the portions of the nozzle structures near the connecting structures, and the portions of the main structure near the connecting structures are designated as stress concentration regions. The advantage of setting stress concentration regions is that it ensures a high mesh node density in stress concentration regions and a low mesh node density in non-stress concentration regions within the finite element mesh model, thus balancing computational accuracy with computational speed.
[0045] The connection forms between vessel structures in different pressure vessels may vary. For example, the connection structure may be rounded or chamfered. Therefore, when setting the mesh seed point, while ensuring the uniformity of the mesh, it is also necessary to ensure that the verification path is as perpendicular as possible to the middle surface of the vessel structure.
[0046] Within the dimensional space of the pressure vessel, interconnected quadrilateral meshes are grown from the seed points. The density of the quadrilateral meshes meets the requirements of stress analysis of the pressure vessel. In the general structural region of the pressure vessel, the quadrilateral meshes along the thickness direction can be divided into four parts. In the stress concentration region, the mesh density of the quadrilateral meshes is appropriately increased.
[0047] In an alternative embodiment, the container model consisting of quadrilateral surface meshes is used as the finite element mesh model of the pressure vessel.
[0048] In another alternative embodiment, based on the container model composed of quadrilateral surface meshes, the quadrilateral surface meshes are used as the initial two-dimensional mesh. Mesh seed points are arranged circumferentially along the intersection line. The intersection line serves as the rotation path, and the quadrilateral surface meshes are stretched and dragged along the rotation path. During the stretching process, the surface meshes are mapped to the pre-arranged mesh seed points on the rotation path. By combining adjacent surface meshes, a spatial hexahedral mesh is generated. The container model composed of spatial hexahedral meshes is used as the finite element mesh model of the pressure vessel.
[0049] Figure 2 This is a schematic diagram of a finite element mesh model provided in one embodiment of the present invention. Figure 2 Taking a cylindrical rotating shell as an example, the nozzle structure can also be a cube, cuboid, or other shapes in other embodiments. Figure 2 As shown, the mesh density of the part of the pipe structure near the connecting structure is higher than that of other parts of the pipe structure, the mesh density of the part of the main structure near the connecting structure is higher than that of other parts of the main structure, and the mesh density of the connecting structure is generally higher.
[0050] S120. Based on the multiple circumferential angles along the intersection line, determine the first mesh node located on the intersection line in the finite element mesh model.
[0051] Specifically, the intersection line can be calculated based on the spatial dimensions of the pressure vessel, the thickness of the nozzle structure, the thickness of the main structure, and the relative positional relationship between the nozzle structure and the main structure.
[0052] Specifically, the circumferential angle represents the deflection angle relative to the reference direction of the intersection line. For example, the circumferential angle can range from 0° to 360°, or from -180° to 180°. In one specific embodiment, multiple circumferential angles can be evenly distributed along the circumferential direction of the intersection line, or they can be unevenly distributed. For example, the angular interval between any two adjacent circumferential angles can be 6° or 10°.
[0053] Figure 3This is a cross-sectional schematic diagram of a finite element mesh model provided in an embodiment of the present invention. Specifically, the intersection line between the pipe structure and the main structure is called the intersection line, which is located on the inner surface of the finite element mesh model. The white dots on the intersection line represent the first mesh node. Figure 3 In this text, "a" represents the thickness of the connecting pipe structure, and "b" represents the thickness of the main structure.
[0054] S130. For each first mesh node, determine the first verification path along the thickness direction of the connected structure in the finite element mesh model based on the first mesh node, and perform linear stress analysis on the first verification path to obtain the first stress data.
[0055] In an optional embodiment, determining a first verification path along the thickness direction of the connecting structure in the finite element mesh model based on the first mesh node includes: obtaining the outer surface mesh region of the connecting structure in the finite element mesh model; determining the projection coordinates of the first mesh node on the outer surface mesh region based on the outer surface mesh region and the node coordinates corresponding to the first mesh node; and taking the node path between the first mesh node and the outer surface mesh node corresponding to the projection coordinates as the first verification path.
[0056] Specifically, based on the node coordinates, project them onto the outer surface mesh region to obtain the projected coordinates. Then, obtain the outer surface mesh node corresponding to the coordinates of the node closest to the projected coordinates in the outer surface mesh region. Use the node path between the first mesh node and this outer surface mesh node as the first verification path. For example... Figure 3 As shown, the white squares in the outer surface mesh area of the pipe structure represent the outer surface mesh nodes corresponding to the first mesh node, and the line connecting the two represents the first verification path.
[0057] The advantage of setting the first verification path in this way is that, compared to manually setting the first verification path based on the first mesh node, this embodiment realizes the intelligentization of the first verification path in the finite element analysis tool, thereby improving the efficiency and accuracy of determining the first verification path.
[0058] Specifically, stress linearization is a process of processing stress using the principle of equivalent linearization. Its main purpose is to transform the actual nonlinear stress distribution obtained from finite element analysis into an equivalent linear stress distribution, based on theories such as the uniform distribution of membrane stress and bending stress along the cross-section in mechanics of materials and plate and shell theory, as well as the peak stress theory of linear and nonlinear distributions. In plate and shell theory, the actual nonlinear stress distribution is linearized according to the principle of static equivalent linearity, dividing it into two parts: one part is the membrane stress, which is equivalent to the resultant force and uniformly distributed along the cross-sectional thickness; the other part is the bending stress, which is equivalent to the resultant force and linearly distributed along the cross-sectional thickness.
[0059] In one specific embodiment, the first stress data includes stress values corresponding to at least one stress component. Specifically, linear stress analysis is performed on the first verification path to obtain the first stress data, including: applying loads and boundary conditions to the finite element mesh model to obtain the stress on the first verification path, and decomposing the stress on the first verification path to obtain the decomposition result; determining the first stress data based on at least one stress component and the decomposition result.
[0060] Specifically, pressure vessels bear one or more types of loads, such as mechanical loads (including pressure, gravity, support reactions, wind loads, and seismic loads) and thermal loads. Loads may be applied to the entire pressure vessel, such as pressure, or they may be applied to a local area of the pressure vessel, such as support reactions.
[0061] For example, the first stress data includes the stress value corresponding to at least one of the following stress components: total membrane stress, local membrane stress, bending stress, secondary stress, peak stress, membrane + bending stress, membrane + bending + secondary stress, and membrane + bending + secondary + peak stress.
[0062] Among them, the total thin film stress (P) m Membrane stress (Pm) is a stress uniformly distributed along the wall thickness, generated throughout a structure or a large area of the structure under pressure or other loads. It is a macroscopic stress related to the overall deformation of the structure, primarily causing uniform expansion or contraction of the entire structure. L Membrane stress (P) is a stress uniformly distributed along the wall thickness within a localized region of a structure, caused by factors such as local loading, geometric discontinuities, or boundary conditions. Compared to overall membrane stress, it exists only locally and does not affect the overall deformation pattern of the structure, but may lead to failure in that localized area. Bending stress (P) b Bending stress (Q) is the stress generated by bending moment acting on a structure. It is linearly distributed across the cross-section, with zero bending stress at the neutral axis and increasing with distance from the neutral axis, causing bending deformation of the structure. Secondary stress (Q) is the stress generated due to the deformation compatibility requirements of the structure, caused by the deformation difference between adjacent components. Secondary stress is self-limiting, meaning that it automatically decreases after a certain amount of plastic deformation, generally not leading to overall structural failure, but potentially causing fatigue failure or local instability. Peak stress (F) is the stress caused by factors such as local stress concentration, geometrical abrupt changes, and uneven loading; it is the maximum stress value occurring in a localized region.
[0063] Among them, the thin film + bending stress (S) III ) can be the total membrane stress P m + Bending stress P bIt can also be localized membrane stress P. L + Bending stress P b Thin film + bending + secondary stress (S) IY ) and thin film + bending + secondary + peak stress (S) Y The films in the diagram represent local film stress P. L .
[0064] Figure 4 This is a schematic diagram of the distribution curve of multiple first stress data provided in an embodiment of the present invention. Specifically, the first stress data includes local thin film stress P. L The local membrane stress P corresponding to the first mesh node (located on the inner surface of the connecting structure) in the first verification path. L + Bending stress P b And the local thin film stress P corresponding to the outer surface mesh node in the first verification path. L + Bending stress P b The corresponding stress values are given with circumferential angles spaced at 6° intervals. The distribution curves of multiple first stress data are plotted with the circumferential angle as the abscissa and the stress value as the ordinate.
[0065] S140. Based on multiple first stress data, determine the stress assessment results of the pressure vessel.
[0066] In this embodiment, the stress assessment results characterize the assessment results of the pressure vessel at each circumferential angle.
[0067] In one optional embodiment, determining the stress assessment result of the pressure vessel based on multiple first stress data includes: for each circumferential angle, comparing the stress values of each stress component in the first stress data corresponding to the circumferential angle within a threshold range to obtain the assessment result of the connection structure at the circumferential angle; wherein the assessment result includes an assessment label corresponding to each stress component; and determining the stress assessment result of the pressure vessel based on the assessment results of multiple circumferential angles.
[0068] For example, the total thin film stress P m ≤K×stress intensity S m Local membrane stress P L ≤K×Allowable limit of local membrane stress intensity S PL , membrane + bending stress S III ≤K×Allowable limit of local membrane stress intensity S PL Thin film + bending + secondary stress (S) IY )≤ Allowable limit S of strength under primary and secondary stress PS , where K represents a coefficient value greater than 1.
[0069] Specifically, the evaluation label indicates whether the stress composition of the connection structure under the circumferential angle is qualified, such as a qualified label or an unqualified label.
[0070] In one optional embodiment, determining the stress assessment result of the pressure vessel based on the assessment results of multiple circumferential angles includes: using the assessment results of multiple circumferential angles as the stress assessment result of the pressure vessel.
[0071] In another optional embodiment, the stress assessment result of the pressure vessel is determined based on the assessment results of multiple circumferential angles, including: if all the assessment results contain qualified labels, the stress assessment result of the pressure vessel is set as qualified; if the multiple assessment results contain unqualified labels, the stress assessment result of the pressure vessel is set as unqualified, and a stress assessment report of the pressure vessel is generated based on the circumferential angle and stress composition corresponding to each unqualified label.
[0072] Specifically, the stress assessment report is used to indicate specific situations in which one or more stress components in the connection structure of a pressure vessel exceed the threshold range at one or more circumferential angles, in order to explain the specific reasons for the use risks of the connection structure of the pressure vessel.
[0073] like Figure 4 As shown, the maximum or relatively large stress values of different stress components are located at different circumferential angles. Among them, the local film stress P on the inner surface... L + Bending stress P b and local film stress P on the outer surface L + Bending stress P b The maximum stress values all occurred at -180°, but the local membrane stress P L The maximum stress value occurs at 72°.
[0074] by Figure 4 For example, when the local membrane stress P L and local membrane stress P L + Bending stress P b When the allowable threshold is 210 MPa, the pressure vessel is considered a qualified product.
[0075] The technical solution of this embodiment targets a pressure vessel with a complex structure consisting of a main structure, a nozzle structure, and a connecting structure. It determines first verification paths along the thickness direction of the connecting structure at multiple circumferential angles of the intersection line between the nozzle structure and the main structure, and performs linear stress analysis on each first verification path to obtain first stress data. Based on multiple first stress data, the stress assessment result of the pressure vessel is determined. The stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle, providing a comprehensive stress assessment of the pressure vessel. This solves the problem of traditional stress assessment methods being too one-sided, improves the accuracy and reliability of stress assessment, and meets the needs of modern industry for precise stress assessment of pressure vessels.
[0076] Figure 5 This is a flowchart illustrating another method for stress assessment of a pressure vessel according to an embodiment of the present invention. This embodiment further refines the step of "determining the stress assessment result of the pressure vessel based on multiple first stress data" in the above embodiment. In this embodiment, determining the stress assessment result of the pressure vessel based on multiple first stress data includes: determining a target verification path set based on multiple circumferential angles and a finite element mesh model; performing linear stress analysis based on the target verification path set to obtain stress verification data; and determining the stress assessment result of the pressure vessel based on the stress verification data and multiple first stress data. Figure 5 As shown, the method includes:
[0077] S210. Obtain the finite element mesh model corresponding to the pressure vessel.
[0078] S220. Based on the multiple circumferential angles along the intersection line, determine the first mesh node located on the intersection line in the finite element mesh model.
[0079] S230. For each first mesh node, determine the first verification path along the thickness direction of the connected structure in the finite element mesh model based on the first mesh node, and perform linear stress analysis on the first verification path to obtain the first stress data.
[0080] S210-230 in this embodiment is the same as in the above embodiment. Figure 1 The S110-S130 shown are the same or similar, and will not be described again in this embodiment.
[0081] S240. Based on multiple circumferential angles and the finite element mesh model, determine the target verification path set.
[0082] In this embodiment, the target verification path set includes a second verification path set along the thickness direction of the pipe structure and / or a third verification path set along the thickness direction of the main structure. The circumferential angle, the second verification path in the second verification path set, and the third verification path in the third verification path set correspond one-to-one.
[0083] In an optional embodiment, determining the target verification path set based on multiple circumferential angles and a finite element mesh model includes: determining second mesh nodes located on the pipe structure in the finite element mesh model based on the multiple circumferential angles, and determining a second verification path set along the thickness direction of the pipe structure based on the multiple second mesh nodes; and determining the target verification path set based on the second verification path set.
[0084] In one alternative embodiment, a plurality of second grid nodes are distributed on a curve parallel to the intersection line and located on the inner surface of the nozzle structure. Specifically, the second grid nodes belong to the inner surface grid nodes of the nozzle structure.
[0085] In another alternative embodiment, a plurality of second grid nodes are distributed on a curve parallel to the intersection line and located on the outer surface of the nozzle structure. In a specific embodiment, this curve is the intersection line between the nozzle structure and the connecting structure. Specifically, the second grid nodes belong to the outer surface grid nodes of the nozzle structure.
[0086] Figure 6 This is a schematic diagram illustrating the selection of mesh nodes according to an embodiment of the present invention. Specifically, Figure 6 The four green dots represent the second grid nodes located on the inner surface of the nozzle structure, and the one green square represents the second grid node located on the intersection line between the nozzle structure and the connecting structure.
[0087] Specifically, when the second grid node belongs to the inner surface grid node of the pipe structure, the node coordinates of the second grid node are projected onto the outer surface grid region of the pipe structure to obtain the projected coordinates. The node path between the second grid node and the corresponding outer surface grid node is used as the second verification path. When the second grid node belongs to the outer surface grid node of the pipe structure, the node coordinates of the second grid node are projected onto the inner surface grid region of the pipe structure to obtain the projected coordinates. The node path between the second grid node and the corresponding inner surface grid node is used as the second verification path.
[0088] In another alternative embodiment, the target verification path set is determined based on multiple circumferential angles and the finite element mesh model, including: determining the third mesh node located on the main structure in the finite element mesh model according to the multiple circumferential angles, and determining the third verification path set along the thickness direction of the main structure according to the multiple third mesh nodes; and determining the target verification path set according to the third verification path set.
[0089] In one alternative embodiment, a plurality of third grid nodes are distributed on a curve parallel to the intersection line and located on the inner surface of the main structure. Specifically, the third grid nodes belong to the inner surface grid nodes of the main structure.
[0090] In another alternative embodiment, a plurality of third grid nodes are distributed on a curve parallel to the intersection line and located on the outer surface of the main structure. In a specific embodiment, this curve is the intersection line between the main structure and the connecting structure. Specifically, the third grid nodes belong to the outer surface grid nodes of the main structure.
[0091] like Figure 6 As shown, Figure 6 The four red dots represent the third grid node located on the inner surface of the main structure, and the one red square represents the third grid node located on the intersection line between the main structure and the connecting structure.
[0092] Specifically, when the third grid node belongs to the inner surface grid node of the main structure, the node coordinates of the third grid node are projected onto the outer surface grid region of the main structure to obtain the projected coordinates. The node path between the third grid node and the corresponding outer surface grid node is used as the third verification path. When the third grid node belongs to the outer surface grid node of the main structure, the node coordinates of the third grid node are projected onto the inner surface grid region of the main structure to obtain the projected coordinates. The node path between the third grid node and the corresponding inner surface grid node is used as the third verification path.
[0093] In another optional embodiment, determining the target verification path set based on multiple circumferential angles and the finite element mesh model includes: determining second mesh nodes located on the nozzle structure in the finite element mesh model based on the multiple circumferential angles, and determining a second verification path set along the thickness direction of the nozzle structure based on the multiple second mesh nodes; determining third mesh nodes located on the main structure in the finite element mesh model based on the multiple circumferential angles, and determining a third verification path set along the thickness direction of the main structure based on the multiple third mesh nodes; and determining the target verification path set based on the second verification path set and the third verification path set.
[0094] The method for determining the second and third verification paths in this embodiment is the same as or similar to that in the above embodiments, and will not be repeated here.
[0095] Specifically, the second and third verification path sets are used as the target verification path sets.
[0096] S250. Perform linear stress analysis based on the target verification path set to obtain stress verification data.
[0097] In this embodiment, the stress verification data includes second stress data corresponding to the second verification path and / or third stress data corresponding to the third verification path.
[0098] Specifically, the second stress data contains stress values corresponding to at least one stress component, and the third stress data contains stress values corresponding to at least one stress component. The stress components corresponding to the first, second, and third stress data can be the same or different. For example, the first stress data includes the total film stress P. m + Bending stress P b The corresponding stress values, the second stress data, and the third stress data include the local membrane stress P. L The corresponding stress value.
[0099] Figure 7 This is a schematic diagram of the distribution curve of a second stress dataset provided in one embodiment of the present invention. Figure 7 The stress components corresponding to the second stress data and Figure 4 The stress components corresponding to the first stress data are the same, and the circumferential angle interval is 6°. The distribution curve of the second stress dataset is obtained by plotting the circumferential angle as the abscissa and the stress value as the ordinate.
[0100] Figure 8 This is a schematic diagram of the distribution curve of a third stress dataset provided in one embodiment of the present invention. Figure 8 The stress components corresponding to the third stress data and Figure 4 The stress components corresponding to the first stress data are the same, and the circumferential angle interval is 6°. The distribution curve of the third stress dataset is obtained by plotting the circumferential angle as the abscissa and the stress value as the ordinate.
[0101] S260. Based on the stress verification data and multiple first stress data, determine the stress assessment result of the pressure vessel.
[0102] In one optional embodiment, the stress assessment result of the pressure vessel is determined based on stress verification data and multiple first stress data, including: for each circumferential angle, comparing the stress values of each stress component in the first stress data corresponding to the circumferential angle within a threshold range to obtain a first assessment result of the connecting structure at the circumferential angle; wherein the first assessment result includes a first assessment label corresponding to each stress component; comparing the stress values of each stress component in the stress verification data corresponding to the circumferential angle within a threshold range to obtain a second assessment result; wherein the second assessment result includes a second assessment label of each stress component of the nozzle structure at the circumferential angle and / or a third assessment label of each stress component of the main structure at the circumferential angle; and determining the stress assessment result of the pressure vessel based on multiple first assessment results and multiple second assessment results.
[0103] like Figure 4 , Figure 7 and Figure 8 As shown, for the same stress component, the maximum stress values of different container structures may occur at different circumferential angles. Taking the local membrane stress P... L For example, in a connecting structure, the local membrane stress P L The maximum stress value occurs at 72°, and in the nozzle structure, the local membrane stress P L The maximum stress value occurs at 48°, and in the main structure, the local membrane stress P L The maximum stress value occurs at 120°.
[0104] Specifically, the first evaluation label indicates whether the stress composition of the connection structure under the circumferential angle is acceptable; the second evaluation label indicates whether the stress composition of the nozzle structure under the circumferential angle is acceptable; and the third evaluation label indicates whether the stress composition of the main structure under the circumferential angle is acceptable. The first, second, or third evaluation label is either a pass / fail label or a fail / unaccept label.
[0105] In one optional embodiment, determining the stress assessment result of the pressure vessel based on multiple first assessment results and multiple second assessment results includes: using the multiple first assessment results and multiple second assessment results as the stress assessment result of the pressure vessel.
[0106] In another optional embodiment, the stress assessment result of the pressure vessel is determined based on multiple first assessment results and multiple second assessment results, including: if all of the multiple first assessment results and multiple second assessment results contain qualified labels, then the stress assessment result of the pressure vessel is set as qualified; if the multiple first assessment results and multiple second assessment results contain at least one unqualified label, then the stress assessment result of the pressure vessel is set as unqualified, and a stress assessment report of the pressure vessel is generated based on the circumferential angle, stress composition, and vessel structure corresponding to each unqualified label.
[0107] The vessel structure can be a connecting structure, a main structure, or a nozzle structure. Specifically, the stress assessment report indicates that one or more stress components in one or more circumferential angles of the pressure vessel structure exceed the threshold range, thus explaining the specific reasons for the potential operational risks of the pressure vessel structure.
[0108] like Figure 7 As shown, when the local membrane stress P L and local membrane stress P L + Bending stress P b When the allowable threshold is 210 MPa, the local membrane stress P of the nozzle structure in the pressure vessel at all circumferential angles is... L All the evaluation labels were qualified, but the localized membrane stress P on the outer surface of the nozzle structure at -180° to -168° was abnormal. L + Bending stress P b All the evaluation labels were deemed unqualified, and there was localized film stress P on the inner surface at -18° to 42°. L + Bending stress P b All the labels were deemed unqualified.
[0109] like Figure 8 As shown, when the local membrane stress P L and local membrane stress P L + Bending stress P b When the allowable threshold is 210 MPa, the local membrane stress P of the main structure in the pressure vessel at all circumferential angles is... L All the evaluation labels were qualified, but the localized membrane stress P on the outer surface of the nozzle structure at -180° to -156°, -12° to 30°, and 162° to 174° was observed. L + Bending stress P b All the evaluation labels were deemed unqualified, and there was localized film stress P on the inner surface at -18° to 36°. L + Bending stress P b All the labels were deemed unqualified.
[0110] The technical solution of this embodiment determines the target verification path set based on multiple circumferential angles and finite element mesh models, performs linear stress analysis based on the target verification path set to obtain stress verification data, and adds the container structure for stress assessment, thus conducting a comprehensive stress assessment of the pressure vessel from a structural perspective, thereby further improving the accuracy and reliability of stress assessment.
[0111] The following are embodiments of the stress assessment device for pressure vessels provided in this invention. This device and the stress assessment method for pressure vessels described in the above embodiments belong to the same inventive concept. For details not described in detail in the embodiments of the stress assessment device for pressure vessels, please refer to the content of the stress assessment method for pressure vessels in the above embodiments.
[0112] Figure 9 This is a schematic diagram of the structure of a stress assessment device for a pressure vessel according to an embodiment of the present invention. Figure 9 As shown, the device includes: a finite element mesh model acquisition module 310, a first mesh node determination module 320, a first stress data determination module 330, and a stress evaluation result determination module 340.
[0113] The finite element mesh model acquisition module 310 is used to acquire the finite element mesh model corresponding to the pressure vessel; wherein the pressure vessel includes a main structure, a nozzle structure that intersects and connects with the main structure, and a connection structure set along the intersection line between the nozzle structure and the main structure.
[0114] The first mesh node determination module 320 is used to determine the first mesh node located on the intersection line in the finite element mesh model according to multiple circumferential angles along the intersection line.
[0115] The first stress data determination module 330 is used to determine the first verification path along the thickness direction of the connected structure in the finite element mesh model for each first mesh node, and to perform linear stress analysis on the first verification path to obtain the first stress data.
[0116] The stress assessment result determination module 340 is used to determine the stress assessment result of the pressure vessel based on multiple first stress data; wherein, the stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle.
[0117] The technical solution of this embodiment targets a pressure vessel with a complex structure consisting of a main structure, a nozzle structure, and a connecting structure. It determines first verification paths along the thickness direction of the connecting structure at multiple circumferential angles of the intersection line between the nozzle structure and the main structure, and performs linear stress analysis on each first verification path to obtain first stress data. Based on multiple first stress data, the stress assessment result of the pressure vessel is determined. The stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle, providing a comprehensive stress assessment of the pressure vessel. This solves the problem of traditional stress assessment methods being too one-sided, improves the accuracy and reliability of stress assessment, and meets the needs of modern industry for precise stress assessment of pressure vessels.
[0118] In an optional embodiment, the stress assessment result determination module 340 includes:
[0119] The first stress assessment result determination unit is used to compare the stress value of each stress component in the first stress data corresponding to each circumferential angle with a threshold range for each circumferential angle, so as to obtain the assessment result of the connection structure at the circumferential angle; wherein, the assessment result includes the assessment label corresponding to each stress component;
[0120] The stress assessment results of the pressure vessel are determined based on the evaluation results of multiple circumferential angles.
[0121] In an optional embodiment, the stress assessment result determination module 340 includes:
[0122] The target verification path set determination unit is used to determine the target verification path set based on multiple circumferential angles and finite element mesh models; wherein, the target verification path set includes a second verification path set along the thickness direction of the nozzle structure and / or a third verification path set along the thickness direction of the main structure, and the circumferential angles, the second verification path in the second verification path set and the third verification path in the third verification path set correspond one-to-one;
[0123] The stress verification data determination unit is used to perform linear stress analysis based on the target verification path set to obtain stress verification data; wherein, the stress verification data includes second stress data corresponding to the second verification path and / or third stress data corresponding to the third verification path;
[0124] The second stress assessment result determination unit is used to determine the stress assessment result of the pressure vessel based on the stress verification data and multiple first stress data.
[0125] In an optional embodiment, the target verification path set determination unit is specifically used for:
[0126] Based on multiple circumferential angles, the second mesh nodes located on the pipe structure in the finite element mesh model are determined respectively, and based on multiple second mesh nodes, the second check path set along the thickness direction of the pipe structure is determined;
[0127] And / or,
[0128] Based on multiple circumferential angles, the third mesh nodes located on the main structure in the finite element mesh model are determined respectively, and based on multiple third mesh nodes, the third check path set along the thickness direction of the main structure is determined;
[0129] Determine the target verification path set based on the second verification path set and / or the third verification path set.
[0130] In an optional embodiment, the second stress assessment result determination unit is specifically used for:
[0131] For each circumferential angle, the stress values of each stress component in the first stress data corresponding to the circumferential angle are compared within a threshold range to obtain the first evaluation result of the connection structure at the circumferential angle; wherein, the first evaluation result includes the first evaluation label corresponding to each stress component;
[0132] The stress values of each stress component in the stress verification data corresponding to the circumferential angle are compared within a threshold range to obtain a second evaluation result; wherein, the second evaluation result includes a second evaluation label for each stress component of the nozzle structure at the circumferential angle and / or a third evaluation label for each stress component of the main structure at the circumferential angle.
[0133] The stress assessment results of the pressure vessel are determined based on multiple first assessment results and multiple second assessment results.
[0134] In an optional embodiment, the first stress data determination module 330 is specifically used for:
[0135] Obtain the outer surface mesh region of the connected structure in the finite element mesh model;
[0136] Based on the outer surface mesh region and the node coordinates corresponding to the first mesh node, determine the projection coordinates of the first mesh node on the outer surface mesh region;
[0137] The node path between the first mesh node and the outer surface mesh node corresponding to the projected coordinates is taken as the first verification path.
[0138] The stress assessment device for pressure vessels provided in the embodiments of the present invention can execute the stress assessment method for pressure vessels provided in any embodiment of the present invention, and has the corresponding functional modules and beneficial effects of the method.
[0139] Figure 10 This is a schematic diagram of an electronic device provided according to one embodiment of the present invention. The electronic device 10 is intended to represent various forms of digital computers, such as laptop computers, desktop computers, workbenches, servers, blade servers, mainframe computers, and other suitable computers. The electronic device may also represent various forms of mobile devices, such as personal digital assistants, cellular phones, smartphones, wearable devices (e.g., helmets, glasses, watches, etc.), and other similar computing devices. The components shown herein, their connections and relationships, and their functions are merely illustrative and are not intended to limit the implementation of the invention described and / or claimed herein.
[0140] like Figure 10As shown, the electronic device 10 includes at least one processor 11 and a memory, such as a read-only memory (ROM) 12 or a random access memory (RAM) 13, communicatively connected to the at least one processor 11. The memory stores computer programs executable by the at least one processor 11. The processor 11 can perform various appropriate actions and processes based on the computer program stored in the ROM 12 or loaded from storage unit 18 into the RAM 13. The RAM 13 can also store various programs and data required for the operation of the electronic device 10. The processor 11, ROM 12, and RAM 13 are interconnected via a bus 14. An input / output (I / O) interface 15 is also connected to the bus 14.
[0141] Multiple components in electronic device 10 are connected to I / O interface 15, including: input unit 16, such as keyboard, mouse, etc.; output unit 17, such as various types of displays, speakers, etc.; storage unit 18, such as disk, optical disk, etc.; and communication unit 19, such as network card, modem, wireless transceiver, etc. Communication unit 19 allows electronic device 10 to exchange information or data with other devices through computer networks such as the Internet and / or various telecommunications networks.
[0142] Processor 11 can be a variety of general-purpose and / or special-purpose processing components with processing and computing capabilities. Some examples of processor 11 include, but are not limited to, a central processing unit (CPU), a graphics processing unit (GPU), various special-purpose artificial intelligence (AI) computing chips, various processors running machine learning model algorithms, digital signal processors (DSPs), and any suitable processor, controller, microcontroller, etc. Processor 11 performs the various methods and processes described above, such as the stress assessment method for pressure vessels provided in the above embodiments.
[0143] In some embodiments, the stress assessment method for pressure vessels provided in the above embodiments can be implemented as a computer program tangibly contained in a computer-readable storage medium, such as storage unit 18. In some embodiments, part or all of the computer program can be loaded and / or installed on electronic device 10 via ROM 12 and / or communication unit 19. When the computer program is loaded into RAM 13 and executed by processor 11, one or more steps of the stress assessment method for pressure vessels described above can be performed. Alternatively, in other embodiments, processor 11 can be configured to perform the stress assessment method for pressure vessels by any other suitable means (e.g., by means of firmware).
[0144] In particular, according to embodiments of the present invention, the processes described above with reference to the flowcharts can be implemented as computer software programs. For example, embodiments of the present invention include a computer program product comprising a computer program carried on a non-transitory computer-readable medium, the computer program containing program code for performing the methods shown in the flowcharts. In such embodiments, the computer program can be downloaded and installed from a network via communication unit 19, or installed from storage unit 18, or installed from ROM 12. When the computer program is executed by processor 11, it performs the functions defined in the methods of the embodiments of the present invention.
[0145] Various embodiments of the systems and techniques described above herein can be implemented in the following systems or combinations thereof: digital electronic circuit systems, integrated circuit systems, field-programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), application-specific standard parts (ASSPs), system-on-chips (SOCs), complex programmable logic devices (CPLDs), computer hardware, firmware, software, and / or combinations thereof. These various embodiments may include implementations in one or more computer programs that can be executed and / or interpreted on a programmable system including at least one programmable processor, which may be a dedicated or general-purpose programmable processor, capable of receiving data and instructions from a storage system, at least one input device, and at least one output device, and transmitting data and instructions to the storage system, the at least one input device, and the at least one output device.
[0146] Computer programs for implementing the stress assessment method for pressure vessels of the present invention can be written in any combination of one or more programming languages. These computer programs can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device, such that when executed by the processor, the functions / operations specified in the flowcharts and / or block diagrams are implemented. The computer programs can be executed entirely on a machine, partially on a machine, as a standalone software package partially on a machine and partially on a remote machine, or entirely on a remote machine or server.
[0147] In the context of this application, a computer-readable storage medium can be a tangible medium that may contain or store a computer program for use by or in conjunction with an instruction execution system, apparatus, or device. A computer-readable storage medium can be, but is not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor systems, apparatus, or devices, or any suitable combination of the foregoing. Alternatively, a computer-readable storage medium can be a machine-readable storage medium. Examples of machine-readable storage media include, based on an electrical connection of at least one wire, a portable computer disk, a hard disk, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM), flash memory, optical fiber, compact disc read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination of the foregoing.
[0148] To provide interaction with a user, the systems and techniques described herein can be implemented on a terminal device having: a display device for displaying information to the user (e.g., a cathode-ray tube (CRT) or liquid crystal display (LCD) monitor); and a keyboard and pointing device (e.g., a mouse or trackball) through which the user provides input to the terminal device. Other types of devices can also provide interaction with the user; for example, feedback provided to the user can be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user can be received in any form (including sound input, voice input, or tactile input).
[0149] The systems and technologies described herein can be implemented in computing systems that include backend components (e.g., as data servers), or computing systems that include middleware components (e.g., application servers), or computing systems that include frontend components (e.g., user computers with graphical user interfaces or web browsers through which users can interact with implementations of the systems and technologies described herein), or any combination of such backend, middleware, or frontend components. The components of the system can be interconnected via digital data communication (e.g., communication networks) of any form or medium. Examples of communication networks include local area networks (LANs), wide area networks (WANs), blockchain networks, and the Internet.
[0150] A computing system can include clients and servers. Clients and servers are generally located far apart and typically interact through communication networks. The client-server relationship is created by computer programs running on the respective computers and having a client-server relationship with each other. The server can be a cloud server, also known as a cloud computing server or cloud host, which is a hosting product within the cloud computing service system. It addresses the shortcomings of traditional physical hosts and Virtual Private Server (VPS) services, such as high management difficulty and weak business scalability.
[0151] It should be understood that the various forms of processes shown above can be used, with steps reordered, added, or deleted. For example, the steps described in this invention can be executed in parallel, sequentially, or in different orders, as long as the desired result of the technical solution of this invention can be achieved, and no limitation is imposed herein.
[0152] The specific embodiments described above do not constitute a limitation on the scope of protection of this invention. Those skilled in the art should understand that various modifications, combinations, sub-combinations, and substitutions can be made according to design requirements and other factors. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of this invention should be included within the scope of protection of this invention.
Claims
1. A method for stress assessment of a pressure vessel, characterized in that, include: Obtain the finite element mesh model corresponding to the pressure vessel; wherein, the pressure vessel includes a main structure, a nozzle structure intersecting and connected to the main structure, and a connection structure arranged along the intersection line between the nozzle structure and the main structure; Based on multiple circumferential angles along the intersection line, the first mesh node located on the intersection line in the finite element mesh model is determined respectively; For each first mesh node, a first verification path along the thickness direction of the connecting structure in the finite element mesh model is determined based on the first mesh node, and linear stress analysis is performed on the first verification path to obtain first stress data; Based on multiple first stress data, the stress assessment result of the pressure vessel is determined; wherein, the stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle; Wherein, the circumferential angle represents the deflection angle relative to the reference direction of the intersection line; The step of determining the first verification path along the thickness direction of the connection structure in the finite element mesh model based on the first mesh node includes: Obtain the outer surface mesh region of the connection structure in the finite element mesh model; Based on the outer surface mesh region and the node coordinates corresponding to the first mesh node, determine the projection coordinates of the first mesh node on the outer surface mesh region; The node path between the first mesh node and the outer surface mesh node corresponding to the projected coordinates is taken as the first verification path.
2. The method according to claim 1, characterized in that, The step of determining the stress assessment result of the pressure vessel based on multiple first stress data includes: For each circumferential angle, the stress value of each stress component in the first stress data corresponding to the circumferential angle is compared with a threshold range to obtain the evaluation result of the connection structure at the circumferential angle; wherein, the evaluation result includes an evaluation label corresponding to each stress component; The stress assessment results of the pressure vessel are determined based on the evaluation results of multiple circumferential angles.
3. The method according to claim 1, characterized in that, The step of determining the stress assessment result of the pressure vessel based on multiple first stress data includes: Based on the multiple circumferential angles and the finite element mesh model, a target verification path set is determined; wherein, the target verification path set includes a second verification path set along the thickness direction of the pipe structure and / or a third verification path set along the thickness direction of the main structure, and the circumferential angles correspond one-to-one with the second verification path in the second verification path set and / or the third verification path in the third verification path set; Linear stress analysis is performed based on the target verification path set to obtain stress verification data; wherein, the stress verification data includes second stress data corresponding to the second verification path and / or third stress data corresponding to the third verification path; Based on the stress verification data and multiple first stress data, the stress assessment result of the pressure vessel is determined.
4. The method according to claim 3, characterized in that, The step of determining the target verification path set based on the multiple circumferential angles and the finite element mesh model includes: Based on the multiple circumferential angles, the second mesh nodes located on the pipe structure in the finite element mesh model are determined respectively, and based on the multiple second mesh nodes, the second verification path set along the thickness direction of the pipe structure is determined; And / or, Based on the multiple circumferential angles, the third mesh node located on the main structure in the finite element mesh model is determined, and based on the multiple third mesh nodes, the third verification path set along the thickness direction of the main structure is determined; The target verification path set is determined based on the second verification path set and / or the third verification path set.
5. The method according to claim 3, characterized in that, The step of determining the stress assessment result of the pressure vessel based on the stress verification data and multiple first stress data includes: For each circumferential angle, the stress value of each stress component in the first stress data corresponding to the circumferential angle is compared with a threshold range to obtain a first evaluation result of the connection structure at the circumferential angle; wherein, the first evaluation result includes a first evaluation label corresponding to each stress component; The stress values of each stress component in the stress verification data corresponding to the circumferential angle are compared within a threshold range to obtain a second evaluation result; wherein, the second evaluation result includes a second evaluation label for each stress component of the nozzle structure at the circumferential angle and / or a third evaluation label for each stress component of the main structure at the circumferential angle; The stress assessment result of the pressure vessel is determined based on multiple first assessment results and multiple second assessment results.
6. A stress assessment device for a pressure vessel, characterized in that, include: A finite element mesh model acquisition module is used to acquire the finite element mesh model corresponding to the pressure vessel; wherein, the pressure vessel includes a main structure, a nozzle structure intersecting and connected to the main structure, and a connection structure arranged along the intersection line between the nozzle structure and the main structure; The first mesh node determination module is used to determine the first mesh node located on the intersection line in the finite element mesh model according to multiple circumferential angles along the intersection line. The first stress data determination module is used to determine, for each first mesh node, a first verification path along the thickness direction of the connecting structure in the finite element mesh model, and to perform linear stress analysis on the first verification path to obtain the first stress data. The stress assessment result determination module is used to determine the stress assessment result of the pressure vessel based on multiple first stress data; wherein the stress assessment result characterizes the assessment result of the pressure vessel at each circumferential angle; Wherein, the circumferential angle represents the deflection angle relative to the reference direction of the intersection line; The first stress data determination module is specifically used for: Obtain the outer surface mesh region of the connected structure in the finite element mesh model; Based on the outer surface mesh region and the node coordinates corresponding to the first mesh node, determine the projection coordinates of the first mesh node on the outer surface mesh region; The node path between the first mesh node and the outer surface mesh node corresponding to the projected coordinates is taken as the first verification path.
7. An electronic device, characterized in that, The electronic device includes: At least one processor; and A memory communicatively connected to the at least one processor; wherein, The memory stores a computer program executable by the at least one processor, which enables the at least one processor to perform the stress assessment method for the pressure vessel according to any one of claims 1-5.
8. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer instructions that, when executed by a processor, implement the stress assessment method for the pressure vessel according to any one of claims 1-5.
9. A computer program product comprising a computer program that, when executed by a processor, implements the stress assessment method for a pressure vessel according to any one of claims 1-5.
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