Anisotropic entity honeycomb sandwich structure parametric modeling and mechanical property simulation method
Through the Python-based Abaqus parameterized modeling method, the problem of difficulty in efficient modeling and simulation in the existing technology is solved, and the rapid parameterized modeling and performance simulation of anisotropic solid cellular sandwich structure is realized, which improves the modeling and simulation efficiency.
Patent Information
- Application Number
- CN202510099564.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-22
- Publication Date
- 2025-05-02
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
The prior art is difficult to efficiently carry out parameterized modeling and mechanical performance simulation of anisotropic solid honeycomb sandwich structures, and cannot meet the needs of complex design and rapid iteration.
Abaqus parameterized modeling method based on Python language is adopted to construct a three-dimensional geometric model by obtaining the cell size of the cellular core, creating a cellular sandwich structure panel structure, and defining anisotropic material properties for the model assembly to realize automated mesh division and analysis processes.
It realizes efficient and automated cellular sandwich structure modeling and mechanical performance simulation, significantly improving modeling and simulation efficiency, and adapting to the needs of rapid iteration.
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Figure CN119918287A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the field of data modeling, in particular to a parameterized modeling and mechanical property simulation method of anisotropic solid honeycomb sandwich structure. Background Art
[0002] Honeycomb sandwich structures are widely used in engineering due to their light weight, high strength and good impact resistance. Traditional honeycomb structure modeling methods are usually based on manual operations or limited parametric design tools, which are not only time-consuming and error-prone, but also unable to meet the needs of complex design and rapid iteration. Due to the direction-dependent physical properties of anisotropic solid honeycomb sandwich structures, the need for high-precision modeling and simulation of their mechanical properties is particularly urgent.
[0003] As an efficient programming language, Python's secondary development capabilities in Abaqus have been widely used. In the prior art, the use of Python scripts combined with Abaqus can realize parametric modeling of complex structures. The modeling efficiency can be significantly improved by scripting to generate geometric models, mesh division, material property assignment, and the application of boundary conditions. However, the existing methods are mostly for models of specific structures or simple geometric forms, and lack parametric modeling methods for complex, anisotropic structures such as honeycomb sandwiches.
[0004] Therefore, the present invention proposes an Abaqus parameterized modeling method for anisotropic honeycomb sandwich structure based on Python language to improve the accuracy and efficiency of honeycomb sandwich structure modeling and mechanical analysis. Summary of the invention
[0005] To solve the above problems, the present application mentions a parametric modeling and mechanical property simulation method of anisotropic solid honeycomb sandwich structure, which utilizes the characteristics of regular hexagonal honeycomb sandwich structure to achieve rapid parametric modeling and performance simulation of anisotropic solid honeycomb sandwich structure.
[0006] The parametric modeling and mechanical performance simulation method of anisotropic solid honeycomb sandwich structure includes the following steps:
[0007] S1. Obtain the cell size of the honeycomb core, and construct a three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core;
[0008] S2. Based on the size of the honeycomb core, a honeycomb sandwich structure panel structure with the same length and width is created, and the honeycomb sandwich structure panel structure is assembled with the honeycomb core three-dimensional geometric model to obtain a model assembly;
[0009] S3, defining anisotropic material properties of the model assembly;
[0010] S4, automatic meshing of model assembly is realized through seed setting and unit type assignment;
[0011] S5. Call the StaticStep module and the DisplacementBC module through Python scripts to create analysis steps, set boundary conditions and loading conditions, and use the Python secondary development interface of Abaqus to realize automatic control of the analysis process.
[0012] Preferably, the specific contents of obtaining the cell size of the honeycomb core in S1 and constructing the three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core are:
[0013] S101, describing geometric features of a honeycomb core cell in a Python script, wherein the geometric features of the honeycomb core cell include a cell wall thickness parameter, a side length parameter, and a height parameter;
[0014] S102, respectively calculating the node coordinates of 6 nodes on the inner wall of the honeycomb cell and 12 nodes on the outer wall of the honeycomb cell to obtain the node coordinates of the inner wall of the honeycomb cell and the node coordinates of the outer wall of the honeycomb cell;
[0015] S103, combining the honeycomb cell inner wall node coordinates and the honeycomb cell outer wall node coordinates, using the ConstrainedSketch function in the Python script to draw a sketch, and using the Line command to create the honeycomb cell inner wall plane and the honeycomb cell outer wall plane;
[0016] S104, using the BaseSolidExtrude command to stretch the inner wall plane and the outer wall plane of the honeycomb cell to construct a honeycomb core cell geometric model;
[0017] The three-dimensional geometric model of the honeycomb core is realized by quickly building and merging the geometric model of the honeycomb core cells;
[0018] In the process of merging the honeycomb core cell geometric models, the number of honeycomb core cell geometric models in the honeycomb core three-dimensional geometric model is predetermined, the displacement vector of the honeycomb core cell geometric model is defined, and then the honeycomb core cell geometric models are copied and translated to form the honeycomb core three-dimensional geometric model.
[0019] Preferably, in the process of creating the honeycomb sandwich structure panel structure in S2, the geometric dimensions of the honeycomb sandwich structure panel structure are determined in combination with the dimensions of the three-dimensional geometric model of the honeycomb core, wherein the honeycomb sandwich structure panel structure includes an upper panel and a lower panel;
[0020] Create a honeycomb sandwich panel structure through the ConstrainedSketch command in the Python script;
[0021] Using the Instance and Translate commands, the honeycomb core and the upper and lower panels are assembled according to the geometric relationship to obtain a model assembly, that is, a complete honeycomb sandwich structure.
[0022] Preferably, the specific content of defining the anisotropic material properties of the model assembly in S3 is:
[0023] In the Python script, use the createMaterialFromDataString command to set the elastic modulus, Poisson's ratio, and density of the model assembly;
[0024] Use the SectionAssignment command to set different material properties for the model assembly;
[0025] Establish local coordinate systems for the honeycomb walls and panels in three different directions in the model assembly;
[0026] The three honeycomb wall surfaces in different directions are respectively the honeycomb wall surface parallel to the xy plane, the honeycomb wall surface whose normal direction forms an angle of 60° with the xy plane, and the honeycomb wall surface whose normal direction forms an angle of 120° with the xy plane.
[0027] Preferably, the local coordinate system defines the positions of the honeycomb walls in three different directions;
[0028] Use the DatumCsysByThreePoints command to create three local coordinate systems in different directions, namely, a local coordinate system parallel to the xy plane, a local coordinate system whose normal direction is at an angle of 60° to the xy plane, and a local coordinate system whose normal direction is at an angle of 120° to the xy plane.
[0029] Use the MaterialOrientation command to apply the local coordinate system to the honeycomb walls in three different directions of the model assembly.
[0030] Preferably, the specific contents of realizing the automatic meshing of the model assembly in S4 are:
[0031] Seed setting: Use the seedEdgeBySize function to find the edges corresponding to the wall thickness, side length, height, and panel thickness in the honeycomb wall and set mesh seeds of different densities;
[0032] Unit type assignment: Set the unit type through the ElemType command and assign it to the honeycomb core and panel area.
[0033] Preferably, in S5, the StaticStep module and the DisplacementBC module are called by Python script to create analysis steps and boundary conditions.
[0034] Preferably, the static analysis step is defined through the StaticStep module, and the target incremental step size is set to control the accuracy of the analysis;
[0035] Use the DisplacementBC command to implement static loading analysis of honeycomb sandwich structures, including applying out-of-plane compression loads or shear loads, fixing the bottom of the sandwich structure, and setting symmetric boundary conditions on the edges.
[0036] Preferably, the application of the boundary condition comprises the following steps: firstly, implementing the contact setting between the three-dimensional geometric model of the honeycomb core and the panel structure of the honeycomb sandwich structure by means of the Tie command;
[0037] Then, reference points are set on the upper and lower panels respectively, and the coupling between the reference points and the panels is realized through the Coupling command; a displacement load is applied to the reference point of the upper panel coupling, and a fixed displacement load is applied to the reference point of the lower panel coupling.
[0038] Preferably, the Python secondary development interface of Abaqus is used to run the script to automatically model the honeycomb structure and obtain the mechanical performance characteristics of the honeycomb sandwich structure under different loads.
[0039] In summary, compared with traditional technologies, the parametric modeling and mechanical property simulation method of the anisotropic solid honeycomb sandwich structure of the present invention is based on Python Abaqus parametric modeling and mechanical property simulation of the anisotropic solid honeycomb sandwich structure, which can realize efficient and automated modeling and analysis process, greatly improving the modeling and simulation efficiency.
[0040] The technical method of the present invention is further described in detail below through the drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS
[0041] Figure 1 is a flow chart of the method of the present invention;
[0042] Figure 2 It is the node distribution diagram of the honeycomb core cell structure;
[0043] Figure 3 is the geometric model of the honeycomb core cell;
[0044] Figure 4 is the geometric model of the honeycomb core;
[0045] Figure 5 It is the geometric model of honeycomb sandwich structure;
[0046] Figure 6 Apply models for honeycomb sandwich structure loads and boundary conditions;
[0047] Figure 7This is the damage distribution cloud diagram of the honeycomb sandwich structure under out-of-plane compression load. DETAILED DESCRIPTION
[0048] The technical method of the present invention is further described below by means of the accompanying drawings and embodiments. It should be noted that unless otherwise specifically stated, the relative arrangement of the components and steps, numerical expressions and numerical values described in these embodiments do not limit the scope of the present application.
[0049] The following description of at least one exemplary embodiment is merely illustrative in nature and is in no way intended to limit the present application, its application, or uses.
[0050] Technologies, systems, and devices known to ordinary technicians in the relevant art may not be discussed in detail, but where appropriate, the technologies, systems, and devices should be considered part of the specification.
[0051] In all examples shown and discussed herein, any specific values should be interpreted as merely exemplary and not limiting. Therefore, other examples of the exemplary embodiments may have different values.
[0052] Unless otherwise defined, technical or scientific terms used in the present invention shall have the common meanings understood by one having ordinary skills in the field to which the present invention belongs.
[0053] like Figure 1 As shown, the present invention provides a parametric modeling and mechanical performance simulation method for anisotropic solid honeycomb sandwich structure. The specific process is:
[0054] S1. Obtain the cell size of the honeycomb core, and construct a three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core;
[0055] In S1, the cell size of the honeycomb core is obtained, and the specific contents of constructing the three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core are as follows:
[0056] S101, describing geometric features of a honeycomb core cell in a Python script, wherein the geometric features of the honeycomb core cell include a cell wall thickness parameter, a side length parameter, and a height parameter;
[0057] like Figure 2 As shown, S102, respectively calculating the node coordinates of 6 nodes on the inner wall of the honeycomb cell and 12 nodes on the outer wall of the honeycomb cell to obtain the node coordinates of the inner wall of the honeycomb cell and the node coordinates of the outer wall of the honeycomb cell;
[0058] The six nodes on the inner wall of the honeycomb cell are inner node 1, inner node 2, inner node 3, inner node 4, inner node 5, and inner node 6;
[0059] The 12 nodes on the outer wall of the honeycomb cell are outer node 1, outer node 2, outer node 3, outer node 4, outer node 5, outer node 6, outer node 7, outer node 8, outer node 9, outer node 10, outer node 11, and outer node 12.
[0060] like Figure 3 As shown, S103, combining the coordinates of the nodes of the inner wall of the honeycomb cell and the coordinates of the nodes of the outer wall of the honeycomb cell, using the ConstrainedSketch function in the Python script to draw a sketch, and using the Line command to create the honeycomb cell inner wall plane and the honeycomb cell outer wall plane; during the construction process, the honeycomb cell inner wall plane and the honeycomb cell outer wall plane are connected in sequence according to the order of the internal connection points and the external nodes.
[0061] like Figure 4 As shown, S104, using the BaseSolidExtrude command to stretch the inner wall plane of the honeycomb cell and the outer wall plane of the honeycomb cell to construct a honeycomb core cell geometric model;
[0062] The three-dimensional geometric model of the honeycomb core is realized by quickly building and merging the geometric model of the honeycomb core cells;
[0063] In the process of merging the honeycomb core cell geometric models, the number of honeycomb core cell geometric models in the honeycomb core three-dimensional geometric model is predetermined, the displacement vector of the honeycomb core cell geometric model is defined, and then the honeycomb core cell geometric models are copied and translated to form the honeycomb core three-dimensional geometric model.
[0064] S2. Based on the size of the honeycomb core, a honeycomb sandwich structure panel structure is created, and the honeycomb sandwich structure panel structure is assembled with the honeycomb core three-dimensional geometric model to obtain a model assembly;
[0065] like Figure 5 As shown, in S2, in the process of creating the honeycomb sandwich structure panel structure, the size of the honeycomb core three-dimensional geometric model is combined to determine the geometric size of the honeycomb sandwich structure panel structure, and the honeycomb sandwich structure panel structure includes an upper panel and a lower panel;
[0066] Create a honeycomb sandwich panel structure through the ConstrainedSketch command in the Python script;
[0067] Using the Instance and Translate commands, the honeycomb core and the upper and lower panels are assembled according to the geometric relationship to obtain a model assembly, that is, a complete honeycomb sandwich structure.
[0068] S3, defining anisotropic material properties of the model assembly;
[0069] The honeycomb core wall and the face sheet are both anisotropic materials. The specific contents of defining the anisotropic material properties of the model assembly in S3 are as follows:
[0070] In the Python script, use the createMaterialFromDataString command to set the elastic modulus, Poisson's ratio, and density of the model assembly;
[0071] Use the SectionAssignment command to set different material properties for the model assembly;
[0072] Since the honeycomb wall is anisotropic material, local coordinate systems are established for the honeycomb wall and face plate in three different directions in the model assembly;
[0073] The three honeycomb wall surfaces in different directions are respectively the honeycomb wall surface parallel to the xy plane, the honeycomb wall surface whose normal direction forms an angle of 60° with the xy plane, and the honeycomb wall surface whose normal direction forms an angle of 120° with the xy plane.
[0074] Preferably, the local coordinate system defines the positions of the honeycomb walls in three different directions;
[0075] Use the DatumCsysByThreePoints command to create three local coordinate systems in different directions, namely, a local coordinate system parallel to the xy plane, a local coordinate system whose normal direction is at an angle of 60° to the xy plane, and a local coordinate system whose normal direction is at an angle of 120° to the xy plane.
[0076] Use the MaterialOrientation command to apply the local coordinate system to the honeycomb walls in three different directions of the model assembly.
[0077] S4, realize automatic meshing of model assembly through seed setting and unit type assignment;
[0078] The specific contents of automatic meshing of model assemblies in S4 are as follows:
[0079] Seed setting: Use the seedEdgeBySize function to find the edges corresponding to the wall thickness, side length, height and panel thickness in the honeycomb wall and set mesh seeds of different densities, that is, generate a certain number of mesh nodes on the boundary, 3 to 5 nodes on the edges of the wall thickness and panel thickness, and 15 to 20 nodes on the edges of the side length and height. This method can automatically adjust the mesh density according to the complexity of the model to ensure the calculation accuracy;
[0080] Unit type assignment: Set the unit type through the ElemType command and assign it to the honeycomb core and panel area.
[0081] S5. Call the StaticStep module and the DisplacementBC module through the Python script to create analysis steps, set boundary conditions and loading conditions, and use the Python secondary development interface of Abaqus to realize automatic control of the analysis process.
[0082] In S5, the StaticStep module and the DisplacementBC module are called through Python scripts to create analysis steps and boundary conditions.
[0083] Preferably, the static analysis step is defined through the StaticStep module, and the target incremental step size is set to control the accuracy of the analysis;
[0084] Use the DisplacementBC command to implement static loading analysis of honeycomb sandwich structures, including applying out-of-plane compression loads or shear loads, fixing the bottom of the sandwich structure, and setting symmetric boundary conditions on the edges.
[0085] There is no strict fixed standard for the numerical range of the target incremental step size, but it is usually necessary to select a suitable value according to the nonlinearity of the problem, the accuracy requirements, and the computing resources. Here, the initial incremental step size set by the present invention is 0.001, the maximum value of the increment is 0.1, and the minimum value of the increment is 1e-9.
[0086] Use the DisplacementBC module to perform static loading analysis of honeycomb sandwich structures, including applying out-of-plane compressive or shear loads, defining reference points, and applying boundary conditions.
[0087] Preferably, the application of the boundary condition comprises the following steps: firstly, implementing the contact setting between the three-dimensional geometric model of the honeycomb core and the panel structure of the honeycomb sandwich structure by means of the Tie command;
[0088] Then, reference points are set on the upper and lower panels respectively, and the coupling between the reference points and the panels is realized through the Coupling command; a displacement load is applied to the reference point of the upper panel coupling, and a fixed displacement load is applied to the reference point of the lower panel coupling.
[0089] Preferably, the Python secondary development interface of Abaqus is used to run the script to perform automated modeling of the honeycomb structure, and obtain the mechanical performance characteristics of the honeycomb sandwich structure under different loads.
[0090] like Figure 6 As shown in the figure, the static displacement loading of the honeycomb sandwich structure is realized by using the DisplacementBC module. The Python secondary development interface of Abaqus is used to run the script to automatically model the honeycomb structure. The mechanical properties of the honeycomb sandwich structure under the out-of-plane compression load can be obtained as shown in the figure. Figure 7 shown.
[0091] Through the above technical solution, compared with the prior art, the present invention has the following beneficial effects:
[0092] The present invention provides a Python-based Abaqus parametric modeling and mechanical performance simulation method for anisotropic solid honeycomb sandwich structures. The method for constructing honeycomb sandwich structures and simulation can quickly generate multiple design schemes to meet the needs of rapid iteration. The workload and time cost are significantly reduced, and the full process optimization of honeycomb sandwich structures from design to application is effectively promoted.
[0093] Finally, it should be noted that the above embodiments are only used to illustrate the technical method of the present invention rather than to limit it. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that they can still modify or replace the technical method of the present invention with equivalents, and these modifications or equivalent replacements cannot cause the modified technical method to deviate from the spirit and scope of the technical method of the present invention.
Claims
1. Parametric modeling and mechanical performance simulation method of anisotropic solid honeycomb sandwich structure, characterized in that: The following steps are involved: S1. Obtain the cell size of the honeycomb core, and construct a three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core; S2. Based on the size of the honeycomb core, a honeycomb sandwich structure panel structure with the same length and width is created, and the honeycomb sandwich structure panel structure is assembled with the honeycomb core three-dimensional geometric model to obtain a model assembly; S3, defining anisotropic material properties of the model assembly; S4, automatic meshing of model assembly is realized through seed setting and unit type assignment; S5. Call the StaticStep module and the DisplacementBC module through Python scripts to create analysis steps, set boundary conditions and loading conditions, and use the Python secondary development interface of Abaqus to realize automatic control of the analysis process.
2. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 1, characterized in that: In S1, the cell size of the honeycomb core is obtained, and the specific contents of constructing the three-dimensional geometric model of the honeycomb core according to the cell size of the honeycomb core are as follows: S101, describing geometric features of a honeycomb core cell in a Python script, wherein the geometric features of the honeycomb core cell include a cell wall thickness parameter, a side length parameter, and a height parameter; S102, respectively calculating the node coordinates of 6 nodes on the inner wall of the honeycomb cell and 12 nodes on the outer wall of the honeycomb cell to obtain the node coordinates of the inner wall of the honeycomb cell and the node coordinates of the outer wall of the honeycomb cell; S103, combining the honeycomb cell inner wall node coordinates and the honeycomb cell outer wall node coordinates, using the ConstrainedSketch function in the Python script to draw a sketch, and using the Line command to create the honeycomb cell inner wall plane and the honeycomb cell outer wall plane; S104, using the BaseSolidExtrude command to stretch the inner wall plane and the outer wall plane of the honeycomb cell to construct a honeycomb core cell geometric model; The three-dimensional geometric model of the honeycomb core is realized by quickly building and merging the geometric model of the honeycomb core cells; In the process of merging the honeycomb core cell geometric models, the number of honeycomb core cell geometric models in the honeycomb core three-dimensional geometric model is predetermined, the displacement vector of the honeycomb core cell geometric model is defined, and then the honeycomb core cell geometric models are copied and translated to form the honeycomb core three-dimensional geometric model.
3. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 2, characterized in that: In S2, in the process of creating the honeycomb sandwich structure panel structure, the geometric dimensions of the honeycomb sandwich structure panel structure are determined in combination with the dimensions of the honeycomb core three-dimensional geometric model, wherein the honeycomb sandwich structure panel structure includes an upper panel and a lower panel; Create a honeycomb sandwich panel structure through the ConstrainedSketch command in the Python script; Using the Instance and Translate commands, the honeycomb core and the upper and lower panels are assembled according to the geometric relationship to obtain a model assembly, that is, a complete honeycomb sandwich structure.
4. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 3, characterized in that: The specific contents of defining the anisotropic material properties of the model assembly in S3 are: In the Python script, use the createMaterialFromDataString command to set the elastic modulus, Poisson's ratio, and density of the model assembly; Use the SectionAssignment command to set different material properties for the model assembly; Establish local coordinate systems for the honeycomb walls and panels in three different directions in the model assembly; The three honeycomb wall surfaces in different directions are respectively the honeycomb wall surface parallel to the xy plane, the honeycomb wall surface whose normal direction forms an angle of 60° with the xy plane, and the honeycomb wall surface whose normal direction forms an angle of 120° with the xy plane.
5. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 4, characterized in that: The local coordinate system defines the positions of the honeycomb walls in three different directions; Use the DatumCsysByThreePoints command to create three local coordinate systems in different directions, namely, a local coordinate system parallel to the xy plane, a local coordinate system whose normal direction is at an angle of 60° to the xy plane, and a local coordinate system whose normal direction is at an angle of 120° to the xy plane. Use the MaterialOrientation command to apply the local coordinate system to the honeycomb walls in three different directions of the model assembly.
6. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 5, characterized in that: The specific contents of automatic meshing of model assemblies in S4 are as follows: Seed setting: Use the seedEdgeBySize function to find the edges corresponding to the wall thickness, side length, height, and panel thickness in the honeycomb wall and set mesh seeds of different densities; Unit type assignment: Set the unit type through the ElemType command and assign it to the honeycomb core and panel area.
7. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 6, characterized in that: In S5, the StaticStep module and the DisplacementBC module are called through Python scripts to create analysis steps and boundary conditions.
8. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 7, characterized in that: Define the static analysis step through the StaticStep module and set the target incremental step size to control the accuracy of the analysis; Use the DisplacementBC command to implement static loading analysis of honeycomb sandwich structures, including applying out-of-plane compression loads or shear loads, fixing the bottom of the sandwich structure, and setting symmetric boundary conditions on the edges.
9. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 8, characterized in that: The application of the boundary condition comprises the following steps: firstly, the contact setting between the honeycomb core three-dimensional geometric model and the honeycomb sandwich structure panel structure is realized by using the Tie command; Then, reference points are set on the upper and lower panels respectively, and the coupling between the reference points and the panels is realized through the Coupling command; a displacement load is applied to the reference point of the upper panel coupling, and a fixed displacement load is applied to the reference point of the lower panel coupling.
10. The parametric modeling and mechanical properties simulation method of anisotropic solid honeycomb sandwich structure according to claim 9, characterized in that: Using the Python secondary development interface of Abaqus, the script is run to automatically model the honeycomb structure and obtain the mechanical properties of the honeycomb sandwich structure under different loads.
Citation Information
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