A random multiphase two-dimensional physical model of coatings and its performance evaluation method

Abstract

The present application provides a method for modeling a random multiphase two-dimensional physical model of a coating, including: constructing a two-dimensional multi-scale random medium of the coating, on the two-dimensional multi-scale random medium of the coating, using a threshold interception method to intercept the lubrication phase and pore position coordinates from the total nodes, and using the remaining nodes as the matrix position coordinates to obtain a random multiphase two-dimensional physical model of the coating. In addition, a coating performance evaluation method is provided, including: the above-mentioned method for modeling a random multiphase two-dimensional physical model of the coating, constructing a random multiphase two-dimensional physical model of the coating; based on the random multiphase two-dimensional physical model of the coating, using the finite element method to perform numerical simulation, obtain coating performance parameters, and evaluate the coating performance.

Description

Technical Field

[0001] The present application belongs to the technical field of performance evaluation of abradable sealing coatings, and specifically relates to a random multiphase two-dimensional physical modeling of a coating and a performance evaluation method thereof. Background Art

[0002] The performance parameters of abradable sealing coatings mainly include hardness, bonding strength, abradability and erosion resistance. Traditional methods for evaluating the performance of abradable sealing coatings include direct method and indirect method, among which:

[0003] The direct method directly measures the performance parameters of the abradable sealing coating through the abradable sealing coating test machine, vacuum heavy etching test, surface Rockwell hardness test, etc. It requires strict control of the test parameters and environmental conditions, as well as a large number of test samples, and constantly adjusts the spraying process parameters and component ratios, which consumes a lot of manpower and material resources;

[0004] The indirect method characterizes the content, morphology and distribution of each phase of the abradable sealing coating, and analyzes the hardness, bonding strength, abradability and erosion resistance of the abradable sealing coating. It also requires the preparation of a large number of test samples, continuous adjustment of spraying process parameters and component ratios, and consumes a lot of manpower and material resources.

[0005] At present, research believes that by constructing a two-dimensional physical model of the abradable sealing coating, describing the content, size, distribution and morphology of each phase of the abradable sealing coating, and using the finite element method for numerical simulation, the performance evaluation of the abradable sealing coating can be quickly realized. At present, when constructing a two-dimensional physical model of the abradable sealing coating, the appearance of each phase is simply equivalent to an ellipse or other simple shapes. However, in practice, the morphology of each phase of the abradable sealing coating is very complex, with obvious randomness and uncertainty, large size variations, irregular shapes, and rough boundaries, which have an important influence on the performance of the abradable sealing coating. When constructing a two-dimensional physical model of the abradable sealing coating, the appearance of each phase is simply equivalent to an ellipse or other simple shapes, and the influence of the morphology of each phase on the numerical simulation is not fully considered, and it is difficult to obtain reliable analysis results.

[0006] This application is proposed in view of the above-mentioned technical defects.

[0007] It should be noted that the disclosure of the above background technology content is only used to assist in understanding the inventive concept and technical solution of the present invention, and it does not necessarily belong to the prior art of this patent application. In the absence of clear evidence that the above content has been disclosed on the filing date of this application, the above background technology should not be used to evaluate the novelty and creativity of the present application. Summary of the invention

[0008] The purpose of this application is to provide a method for modeling a random multiphase two-dimensional physical model of a coating and evaluating its performance, so as to overcome or alleviate at least one of the known technical defects.

[0009] The technical solution of this application is:

[0010] On the one hand, a method for modeling a random multiphase two-dimensional physical model of a coating is provided, comprising:

[0011] Constructing coated two-dimensional multiscale random media:

[0012] M(x,z)=M0(x,z)+k1M1(x,z)+k2M2(x,z);

[0013] in,

[0014] M(x,z) is the coating parameter;

[0015] M0(x,z) is the large-scale medium parameter, corresponding to the coating substrate parameter;

[0016] M1(x,z) is the inhomogeneous random disturbance parameter of the mesoscale medium, corresponding to the lubrication phase parameter of the coating;

[0017] k1 is the weight of the inhomogeneous random disturbance parameter of the mesoscale medium;

[0018] M2(x,z) is the small-scale medium inhomogeneous random perturbation parameter, corresponding to the coating pore parameter;

[0019] k2 is the weight of the inhomogeneous random disturbance parameter of the small-scale medium;

[0020] On the two-dimensional multi-scale random medium of the coating, the position coordinates of the lubricating phase and pores are intercepted from the total nodes by the threshold interception method, and the remaining nodes are used as the matrix position coordinates to obtain the random multiphase two-dimensional physical model of the coating.

[0021] According to at least one embodiment of the present application, in the above-mentioned random multiphase two-dimensional physical model modeling method of the coating, the random multiphase two-dimensional physical model of the coating is used to statistically analyze the lubricating phase content and porosity of the coating. If the obtained lubricating phase content and porosity of the coating deviate from the actual value by more than a set threshold, the two-dimensional multi-scale random medium of the coating is reconstructed.

[0022] According to at least one embodiment of the present application, in the above-mentioned random multiphase two-dimensional physical model modeling method of the coating, M1(x,z) corresponds to the lubricating phase of the coating, and the mean is M 01 , a distribution with a standard deviation of ε1, an autocorrelation length of a1 in the x direction, and an autocorrelation length of b1 in the z direction;

[0023] M2(x,z) corresponds to the pores in the coating, and its mean is M 02, a distribution with a standard deviation of ε2, an autocorrelation length of a2 in the x direction, and an autocorrelation length of b2 in the z direction.

[0024] According to at least one embodiment of the present application, in the above-mentioned coating random multiphase two-dimensional physical model modeling method, M1(x,z) is described by an autocorrelation function Among them, r1 is the roughness factor, when it is equal to 1, it is the autocorrelation function, and when it is equal to 0, it is the Gaussian autocorrelation function;

[0025] M2(x,z) is described by the autocorrelation function Among them, r2 is the roughness factor, when it is equal to 1, it is the autocorrelation function, and when it is equal to 0, it is the Gaussian autocorrelation function.

[0026] According to at least one embodiment of the present application, in the above-mentioned coating random multiphase two-dimensional physical model modeling method, the lubrication phase and pore position coordinates are intercepted from the total nodes by the threshold interception method on the coating two-dimensional multi-scale random medium, specifically:

[0027] The mesoscale media are sorted from large to small according to the node parameters, and N·C phb nodes as the position coordinates of the lubricating phase of the coating, where N is the total number of nodes, C phb is the lubricating phase content of the coating;

[0028] The small-scale media are sorted from large to small according to the node parameters, and N·P nodes are sequentially selected as the position coordinates of the coating pores, where P is the coating porosity.

[0029] According to at least one embodiment of the present application, the above-mentioned random multiphase two-dimensional physical model modeling method of the coating further includes:

[0030] Microscopic microscopic images were obtained by scanning the coating dissected samples using a scanning electron microscope;

[0031] The microscopic images were statistically analyzed by metallographic method to obtain the content, morphology, size, distribution, average length and average width of the lubricating phase and pores in the coating.

[0032] Another aspect provides a coating performance evaluation method, comprising:

[0033] Using any of the above-mentioned random multiphase two-dimensional physical model modeling methods for coatings, a random multiphase two-dimensional physical model of coatings is constructed;

[0034] Based on the random multiphase two-dimensional physical model of the coating, the finite element method was used for numerical simulation to obtain the coating performance parameters and evaluate the coating performance.

[0035] This application has at least the following beneficial technical effects:

[0036] The morphology of each phase of the coating is complex, with obvious randomness and uncertainty, large size variation, irregular shape, and rough boundaries. It is difficult to accurately describe it from both mathematical and physical perspectives. Starting from a statistical perspective, based on the theory of multi-scale random media, this application proposes a modeling method for a random multiphase two-dimensional physical model of a coating. The autocorrelation function type and autocorrelation length describing the lubricating phase and pores are determined by statistical analysis of the coating microstructure, and the two-dimensional multi-scale random medium of the coating is then transformed into a random multiphase two-dimensional physical model of the coating by a threshold interception method, thereby accurately characterizing the multiphase heterogeneous characteristics of the coating, and can flexibly and accurately describe the random characteristics of the content, morphology and size of each component phase of the sealing coating.

[0037] In addition, a coating performance evaluation method is provided, which is based on a random multiphase two-dimensional physical model of the coating constructed by the above-mentioned random multiphase two-dimensional physical model modeling method of the coating, and uses the finite element method to perform numerical simulation to obtain coating performance parameters, thereby achieving accurate evaluation of the coating performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] Figure 1 It is a schematic diagram of a modeling method of a random multiphase two-dimensional physical model of a coating provided in an embodiment of the present application;

[0039] Figure 2 This is a schematic diagram of the microstructure of a standard sample of an aluminum silicon-polyphenyl ester abradable sealing coating provided in an embodiment of the present application;

[0040] Figure 3 It is a schematic diagram of a two-dimensional multi-scale random medium of an aluminum silicon-polyphenyl ester abradable sealing coating provided in an embodiment of the present application;

[0041] Figure 4 It is a schematic diagram of a random multiphase two-dimensional physical model of an aluminum silicon-polyphenyl ester abradable sealing coating provided in an embodiment of the present application.

[0042] In order to better illustrate this embodiment, some parts of the drawings may be omitted, enlarged or reduced, and do not represent the size of the actual product; in addition, the drawings are used for illustrative purposes, and their positional relationships are limited to illustrative purposes and cannot be understood as limitations on this patent. DETAILED DESCRIPTION

[0043] In order to make the technical solution and advantages of the present application clearer, the technical solution of the present application will be further described in detail in detail and in detail in conjunction with the accompanying drawings. It can be understood that the specific embodiments described here are only partial embodiments of the present application, which are only used to explain the present application, not to limit the present application. It should be noted that, for the convenience of description, only the parts related to the present application are shown in the accompanying drawings, and other related parts can refer to the general design. In the absence of conflict, the embodiments in the present application and the technical features in the embodiments can be combined with each other to obtain new embodiments.

[0044] In addition, unless otherwise defined, the technical terms or scientific terms used in the description of this application shall be the common meanings understood by the general technicians in the field to which this application belongs. The words "upper", "lower", "left", "right", "center", "vertical", "horizontal", "inside", "outside" and other words indicating orientation used in the description of this application are only used to indicate the relative direction or positional relationship, and do not imply that the device or element must have a specific orientation, be constructed and operated in a specific orientation. When the absolute position of the described object changes, its relative positional relationship may also change accordingly, so it cannot be understood as a limitation on this application. The "first", "second", "third" and similar terms used in the description of this application are only used for descriptive purposes to distinguish different components, and cannot be understood as indicating or implying relative importance. The similar words "one", "one" or "the" used in the description of this application should not be understood as an absolute limitation on quantity, but should be understood as the existence of at least one. The similar words "including" or "comprising" used in the description of this application mean that the elements or objects appearing in front of the word include the elements or objects listed after the word and their equivalents, without excluding other elements or objects.

[0045] In addition, it should be noted that, unless otherwise clearly specified and limited, the words "installed", "connected", "connected" and similar terms used in the description of this application should be understood in a broad sense. For example, the connection can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, an indirect connection through an intermediate medium, or the internal connection of two components. Technical personnel in the field can understand their specific meanings in this application according to the specific circumstances.

[0046] The following is combined with Figures 1 to 4 Taking the aluminum silicon-polyphenyl ester abradable sealing coating as an example, the modeling method of the random multiphase two-dimensional physical model of the coating provided in this application and its performance evaluation method are further described in detail.

[0047] The standard sample of aluminum-silicon-polyphenyl ester abradable sealing coating was dissected, and the microstructure of the aluminum-silicon-polyphenyl ester abradable sealing coating was observed using a scanning electron microscope. Figure 2 As shown, the metallographic method was used to statistically analyze the microscopic images of 30 groups of coatings to obtain the content, morphology, size and distribution of the polyphenylene ester phase and pores;

[0048] Determine the polyphenylene ester phase content C based on the metallographic statistical results of the coating phb =42.2%, porosity P =1.0%, average length A1 of the polyphenylene phase =71m and average width B1 =72m, average length A2 of the pores =18m and average width B2 =19m;

[0049] Based on the statistical results of the content and size of the polyphenylene ester phase and pores, combined with the morphology and distribution characteristics, the autocorrelation function type is selected as an exponential autocorrelation function, the autocorrelation length of the polyphenylene ester phase is a1=b1=70, and the autocorrelation length of the pores is a2=b2=20, and the two-dimensional multi-scale random medium M(x,z) of the aluminum-silicon-polyphenylene ester abradable sealing coating is established:

[0050] M(x,z)=M0(x,z)+k1M1(x,z)+k2M2(x,z);

[0051] M i (x,z)=M i (x,z,M 0i ,ε i ,a i ,b i ), i=1,2;

[0052] in,

[0053] M0(x,z) is a large-scale medium inhomogeneity parameter. In this embodiment, it is set as a constant function. Taking the ultrasonic longitudinal wave velocity of the aluminum silicon-polyphenyl ester abradable sealing coating as an example, it is set to 2900m / s;

[0054] M1(x,z) and M2(x,z) are random disturbances of medium and small scale inhomogeneous media imposed on M0(x,z), which are mathematically described by an exponential autocorrelation function with a mean of zero;

[0055] M 0i , ε i 、a i , b i are the i-th single-scale random medium M i (x,z) mean, standard deviation, autocorrelation length in the x direction, autocorrelation length in the z direction;

[0056] k i is the i-th single-scale random medium Mi The weight factor of (x, z) is used to adjust the weight of the i-th single-scale random medium in the entire model. In this embodiment, it is set to k1=k2=1, such as Figure 3 As shown;

[0057] Based on the two-dimensional multi-scale random medium of aluminum-silicon-polyphenyl ester abradable sealing coating, the threshold interception method is used to construct a random multiphase two-dimensional physical model of aluminum-silicon-polyphenyl ester abradable sealing coating, such as Figure 4 As shown, specifically:

[0058] The medium-scale random medium is sorted from large to small according to the sound velocity value at the node, and the position coordinates of each node are taken out and stored in the matrix A until the ratio of the number of taken out nodes to the total number of nodes N is equal to the set polyphenylene ester phase content C phb , set the node coordinate positions saved in matrix A to polyphenylene ester;

[0059] The small-scale random media are sorted from large to small according to the sound velocity values ​​at the nodes, and the position coordinates of each node are taken out and stored in the matrix B until the ratio of the number of taken out nodes to the total number of nodes is equal to the porosity P, and the node coordinate positions saved in the matrix B are set as pores;

[0060] The remaining coordinate positions are set as Al-Si phase;

[0061] The random multiphase two-dimensional physical model of the aluminum-silicon-polyphenyl ester abradable sealing coating is statistically analyzed to obtain the content, morphology, size and distribution of each phase in the model. If the deviation from the actual situation is greater than 5%, the two-dimensional multi-scale random medium M (x, z) of the aluminum-silicon-polyphenyl ester abradable sealing coating is re-established and the above steps are repeated.

[0062] When the porosity of the aluminum-silicon-polyphenyl ester abradable sealing coating increases from 0.3% to 4.0%, the random multiphase two-dimensional physical model of the aluminum-silicon-polyphenyl ester abradable sealing coating established based on the above method predicts that the average longitudinal wave velocity decreases from 2251m / s to 2150m / s, with a relative change rate of about 4.5%, and the average sound attenuation coefficient increases from 4.45dB / mm to 6.56dB / mm, with a relative change rate of about 47.4%. There is good consistency between the ultrasonic detection numerical simulation and the experimental measurement values.

[0063] The modeling and acoustic simulation results show that the random multiphase two-dimensional physical model of the aluminum-silicon-polyphenylene ester abradable sealing coating established by the above method can better characterize the irregular morphology and random distribution state of polyphenylene ester and pores in the coating, while ensuring the statistical equivalence of the model with the actual microstructure of the coating, and fully reflecting the inherent randomness of the coating.

[0064] Based on the above-established random multiphase two-dimensional physical model of the aluminum-silicon-polyphenyl ester abradable sealing coating, the finite element method was used for numerical simulation to obtain the performance parameters of the aluminum-silicon-polyphenyl ester abradable sealing coating, and the performance of the aluminum-silicon-polyphenyl ester abradable sealing coating was evaluated.

[0065] The various embodiments in the specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the various embodiments can be referenced to each other.

[0066] So far, the technical solution of the present application has been described in conjunction with the preferred embodiments shown in the accompanying drawings. Those skilled in the art should understand that the scope of protection of the present application is obviously not limited to these specific embodiments. Without departing from the principles of the present application, those skilled in the art can make equivalent changes or substitutions to the relevant technical features, and the technical solutions after these changes or substitutions will fall within the scope of protection of the present application.

Claims

1. A method for modeling a random multiphase two-dimensional physical model of a coating, characterized in that: include: Constructing coated two-dimensional multiscale random media: M(x,z)=M0(x,z)+k1M1(x,z)+k2M2(x,z); in, M(x,z) is the coating parameter; M0(x,z) is the large-scale medium parameter, corresponding to the coating substrate parameter; M1(x,z) is the inhomogeneous random disturbance parameter of the mesoscale medium, corresponding to the lubrication phase parameter of the coating; k1 is the weight of the inhomogeneous random disturbance parameter of the mesoscale medium; M2(x,z) is the small-scale medium inhomogeneous random perturbation parameter, corresponding to the coating pore parameter; k2 is the weight of the inhomogeneous random disturbance parameter of the small-scale medium; On the two-dimensional multi-scale random medium of the coating, the position coordinates of the lubricating phase and pores are intercepted from the total nodes by the threshold interception method, and the remaining nodes are used as the matrix position coordinates to obtain the two-dimensional physical model of the random multiphase coating. The coordinates of the lubrication phase and pore positions are intercepted from the total nodes by the threshold interception method on the two-dimensional multi-scale random medium of the coating, specifically: The mesoscale media are sorted from large to small according to the node parameters, and N·C phb nodes as the position coordinates of the lubricating phase of the coating, where N is the total number of nodes, C phb is the lubricating phase content of the coating; The small-scale media are sorted from large to small according to the node parameters, and N·P nodes are sequentially selected as the position coordinates of the coating pores, where P is the coating porosity.

2. The method for modeling a random multiphase two-dimensional physical model of a coating according to claim 1, characterized in that: The random multiphase two-dimensional physical model of the coating is used to calculate the lubricating phase content and porosity of the coating. If the deviation between the obtained lubricating phase content and porosity of the coating and the actual value exceeds a set threshold, the two-dimensional multi-scale random medium of the coating is reconstructed.

3. The coating random multiphase two-dimensional physical modeling method according to claim 1, characterized in that: M1(x,z) corresponds to the coating lubrication phase, which is subject to the mean value M 01 , a distribution with a standard deviation of ε1, an autocorrelation length of a1 in the x direction, and an autocorrelation length of b1 in the z direction; M2(x,z) corresponds to the pores in the coating, and its mean is M 02 , a distribution with a standard deviation of ε2, an autocorrelation length of a2 in the x direction, and an autocorrelation length of b2 in the z direction.

4. The method for modeling a random multiphase two-dimensional physical model of a coating according to claim 1, characterized in that: M1(x,z) is described by the autocorrelation function Among them, r1 is the roughness factor; M2(x,z) is described by the autocorrelation function Among them, r2 is the roughness factor.

5. The method for modeling a random multiphase two-dimensional physical model of a coating according to claim 1, characterized in that: Also includes: Microscopic microscopic images were obtained by scanning the coating dissected samples using a scanning electron microscope; The microscopic images were statistically analyzed by metallographic method to obtain the content, morphology, size, distribution, average length and average width of the lubricating phase and pores in the coating.

6. A coating performance evaluation method, characterized in that: include: Construct a random multiphase two-dimensional physical model of the coating by using the modeling method of the random multiphase two-dimensional physical model of the coating according to any one of claims 1 to 5; Based on the random multiphase two-dimensional physical model of the coating, the finite element method was used for numerical simulation to obtain the coating performance parameters and evaluate the coating performance.

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