Quantitative analysis method for microstructure parameters of heterogeneous materials

Abstract

This invention provides a quantitative analysis method for microstructure parameters of heterogeneous materials. First, the geometric features of the heterogeneous material's microstructure are scattered based on micro-CT voxel coordinates. A representative computational domain for the heterogeneous material is established, ensuring that each direction within the domain contains at least five microstructure feature cells. The volume fraction of the heterogeneous material's microstructure is calculated by the ratio of the actual number of voxels to the saturated number of voxels within the computational domain. The minimum and maximum wall thicknesses of the microstructure cells at any point are calculated. The structural morphology of the microstructure cells is determined. The characteristic dimensions of the microstructure pores are calculated. Finally, the number of microstructure cells per unit length is calculated.

Description

Technical Field

[0001] This invention relates to morphological analysis methods for heterogeneous materials, specifically to a quantitative analysis method for microstructural parameters of heterogeneous materials. Background Technology

[0002] For heterogeneous materials, their internal microstructure plays a decisive role in macroscopic mechanical properties. This is especially true for porous solid materials, where volume fraction, cell morphology, and characteristic dimensions are essential parameters for studying mechanical behavior. Examples include foams, geological materials, porous glasses, sintered materials, and cancellous bone. However, most current methods for analyzing microstructure parameters rely on three-dimensional reconstruction models of the material's microstructure. The reconstruction process, as a preprocessing step, introduces simplification errors, leading to varying degrees of superposition errors in microstructure parameter calculations based on these three-dimensional models. Furthermore, different methods yield significantly different results due to variations in their underlying algorithms. For instance, in measuring cancellous bone microstructure parameters, even among methods based on micro-CT information, Scanco uCT 35, Bruker Skvscan 1172, and GE Healthcare eXplore LocusSP show differences of up to 150% in calculating the number of trabeculae, and also differences of 80% and 33% in calculating trabecular thickness and the ratio of bone surface area to bone volume, respectively. Meanwhile, the above methods have high requirements for images, requiring clear microstructure boundary lines to be obtained from the images, and are highly sensitive to image noise. The computational cost is relatively high, and they are not applicable to all heterogeneous materials. Summary of the Invention

[0003] To address the technical problems existing in the background art, the present invention provides a quantitative analysis method for microstructure parameters of heterogeneous materials. This method is not only non-destructive, fast, and accurate, but can also simultaneously obtain multiple microstructure parameters of heterogeneous materials. It is applicable to a variety of materials and provides a basis for the microstructure analysis of heterogeneous materials and their relationship with macroscopic mechanical properties.

[0004] To solve the above-mentioned technical problems, the present invention provides a quantitative analysis method for microstructure parameters of heterogeneous materials, which mainly includes: (1) firstly, scattering the geometric features of the microstructure of the heterogeneous material according to the micro-CT voxel coordinates; (2) setting a representative computational domain for the heterogeneous material, and ensuring that each direction in the computational domain contains at least 5 microstructure feature cells; (3) calculating the volume fraction of the microstructure of the heterogeneous material by the ratio of the actual number of voxel points of the microstructure in the computational domain to the number of saturated voxel points in the computational domain; (4) extracting the central axis of the microstructure, along... (5) Arrange multiple random search points along the central axis to fit the inscribed sphere and circumscribed sphere of the cell wall at each search point, thereby calculating the characteristic dimensions of the cell wall of the heterogeneous material microstructure at any point, namely the minimum and maximum cell wall thickness; (6) Determine the structural morphology type of the cell wall of the heterogeneous material microstructure by the ratio of the maximum and minimum cell wall thickness; (7) Extract the negative model of the microstructure and calculate the characteristic dimensions of the pores of the heterogeneous material microstructure; (8) Combine the average wall thickness and average gap size of the microstructure cells of the heterogeneous material to calculate the number of heterogeneous material microstructure cells per unit length.

[0005] The quantitative analysis method for the microstructure parameters of heterogeneous materials, wherein the specific steps for calculating the volume fraction of the microstructure of the heterogeneous material in step (1) are as follows:

[0006] (1.1) Calculate the saturated voxel density based on the micro-CT scanning parameters of the heterogeneous material: rho_sat=1 / abc, where a, b, and c are the three sides of the voxel, respectively.

[0007] (1.2) Extract the voxel points of the microstructure inside the heterogeneous material based on the micro-CT image, and calculate the actual voxel point density rho_sample in the heterogeneous material;

[0008] (1.3) The volume fraction of the heterogeneous material is Fraction = rho_sample / rho_sat × 100%.

[0009] The quantitative analysis method for the microstructure parameters of heterogeneous materials, wherein the specific steps for calculating the characteristic dimensions of the cell walls of the microstructure of heterogeneous materials in step (4) are as follows:

[0010] (4.1) Extract the central axis of the cell wall of the microstructure;

[0011] (4.2) Randomly arrange N search points on the central axis;

[0012] (4.3) Set an initial search radius value r for the search point to obtain the search sphere, and calculate the voxel density rho in the search sphere;

[0013] (4.4) Compare the voxel density rho in the search sphere with the saturated voxel density rho_sat. If rho reaches the saturated voxel density rho_sat, the minimum cell wall thickness at the search point is 2r. If it does not reach saturation, reduce the radius value and iterate until the voxel density in the search sphere reaches saturation.

[0014] (4.5) Calculate the minimum cell thickness at all search points, take the average value, and use it as the average narrow side thickness Th_short of the cell for the heterogeneous material;

[0015] (4.6) Redefine the initial search radius value R for the search point to obtain the ball table, and calculate the voxel density rho_Tai in the ball table; the ball table is defined as the part of the center of the search ball with a height of Th_short;

[0016] (4.7) Repeat steps (4.4)-(4.5) until the voxel density in the ball table reaches the saturation value rho_sat. Then the maximum thickness of the cell wall at the search point is 2R, and the average width thickness of the cell wall of the heterogeneous material is Th_long.

[0017] The quantitative analysis method for the microstructure parameters of heterogeneous materials, wherein the specific steps for determining the structural morphology type of the cell wall of the microstructure of heterogeneous materials in step (5) are as follows:

[0018] (5.1) The structural morphology index of the cell wall is defined by combining the average narrow side thickness and average wide side thickness of the cell wall of the heterogeneous material: Type_Index = Th_long / Th_short, where the value of Type_Index is greater than or equal to 1, and Th_short is the average narrow side thickness of the cell wall of the heterogeneous material, and Th_long is the average wide side thickness of the cell wall of the heterogeneous material.

[0019] (5.2) If Type_Index≤1.5, the cell wall structure morphology of the heterogeneous material is defined as columnar; otherwise, it is defined as plate-like. The larger the value of Type_Index, the more "flat" the cell wall is.

[0020] The quantitative analysis method for the microstructure parameters of the heterogeneous material, wherein the method for calculating the gap characteristic size of the microstructure of the heterogeneous material in step (6) is as follows: extract the negative model of the microstructure sample, and use the same method as calculating the cell wall thickness to calculate based on the negative model, thereby obtaining the average narrow side gap Sp_short and average wide side gap Sp_long of the heterogeneous material.

[0021] The quantitative analysis method for the microstructure parameters of the heterogeneous material, wherein the method for calculating the number of microstructure cells of the heterogeneous material per unit length in step (7) is as follows: the average length occupied by each cell is the sum of the cell wall thickness and the cell gap size: Len = Th_short + Sp_short, where Th_short is the average narrow side thickness of the cell wall of the heterogeneous material, and Sp_short is the average narrow side gap of the heterogeneous material; the number of cells per unit length can be defined as: Number = 1 / Len.

[0022] By adopting the above technical solution, the present invention has the following beneficial effects:

[0023] The quantitative analysis method for microstructure parameters of heterogeneous materials in this invention uses micro-CT scan information of the internal microstructure of the material to obtain a scatter plot model of the microstructure, and then calculates the volume fraction, cell characteristic size, cell wall structure morphology type, microstructure gap characteristic size, and number of microstructure cells per unit length. The calculation is accurate, convenient, flexible, and widely applicable, and has low sensitivity to image noise. It is of great research significance for the analysis of microstructure parameters of heterogeneous materials and their effect on macroscopic mechanical properties. Attached Figure Description

[0024] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0025] Figure 1 This is a schematic diagram illustrating the calculation of the volume fraction of heterogeneous materials in the quantitative analysis method for microstructure parameters of heterogeneous materials of the present invention.

[0026] Figure 2 This is a schematic diagram of the extraction of the central axis of the cell wall in the quantitative analysis method of microstructure parameters of heterogeneous materials in this invention;

[0027] Figure 3 This is a schematic diagram illustrating the calculation of the narrow side thickness of the microstructure cell wall in the quantitative analysis method for microstructure parameters of heterogeneous materials of the present invention.

[0028] Figure 4 This is a schematic diagram illustrating the calculation of the width and thickness of the microstructure cell wall in the quantitative analysis method for microstructure parameters of heterogeneous materials of the present invention.

[0029] Figure 5 This is a schematic diagram of the calculation results of the cell wall thickness in the quantitative analysis method of microstructure parameters of heterogeneous materials in this invention.

[0030] Figure 6 This is a schematic diagram of the negative model of microstructure and the extraction of the central axis in the quantitative analysis method of microstructure parameters of heterogeneous materials of the present invention;

[0031] Figure 7 This is a schematic diagram of the calculation results of microstructure pore size in the quantitative analysis method of microstructure parameters of heterogeneous materials of the present invention;

[0032] Figure 8 This is a schematic diagram illustrating the calculation of the number of microstructure cells per unit length in the quantitative analysis method for microstructure parameters of heterogeneous materials according to the present invention.

[0033] Notes: 1-Saturated voxel point within the sample range; 2-Microstructure voxel point of heterogeneous material; 3-3D model of material microstructure; 4-Central axis of microstructure cell wall; 5-Random search point for wall thickness; 6-Initial radius of the search sphere for calculating the narrow side thickness of cell wall; 7-Radius of the inscribed sphere of cell wall; 8-Microstructure cell wall; 9-Initial radius of the search sphere for calculating the wide side thickness of cell wall; 10-Radius of the circumscribed sphere of cell wall; 11-Inscribed fitted sphere of cell wall thickness at any search point; 12-Circumscribed fitted sphere of cell wall thickness at any search point; 13-Negative model of sample microstructure; 14-Central axis of microstructure pores; 15-Random search point of pores; 16-Inscribed fitted sphere of structural gaps at any search point; 17-Circumscribed fitted sphere of structural gaps at any search point; 18-Average cell wall thickness; 19-Average size of structural gaps. Detailed Implementation

[0034] The technical solution of the present invention will now be clearly and completely described with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0035] The present invention will be further explained below with reference to specific embodiments.

[0036] like Figure 1 As shown, the quantitative analysis method for microstructure parameters of heterogeneous materials of the present invention mainly includes the following steps:

[0037] S010. First, the microstructure geometric features of the heterogeneous material are scattered based on the micro-CT voxel point coordinates.

[0038] S020. Set up a representative computational domain for the heterogeneous material and ensure that each direction within the computational domain contains at least 5 microstructural feature cells.

[0039] S030. Calculate the volume fraction of the microstructure of the heterogeneous material by using the ratio of the actual number of voxel points of the microstructure in the computational domain to the number of saturated voxel points in the computational domain.

[0040] S040 extracts the central axis of the microstructure and arranges multiple random search points along the central axis to fit the inscribed sphere and circumscribed sphere of the cell wall at each search point, thereby calculating the characteristic dimensions of the cell wall of the heterogeneous material microstructure at any point, namely the minimum and maximum cell wall thickness.

[0041] S050. By the ratio of the maximum and minimum wall thickness of the cell, it can be determined whether the structural morphology of the cell wall of the microstructure of the heterogeneous material is inclined to columnar or plate-like.

[0042] S060. Extract the negative model of the microstructure and calculate the characteristic size of the microstructure pores in the heterogeneous material.

[0043] S070. Calculate the number of heterogeneous material microstructure cells per unit length by combining the average wall thickness and average gap size of the microstructure cells.

[0044] In step S010 above, the specific steps for calculating the volume fraction of the microstructure of the heterogeneous material are as follows:

[0045] S011. Calculate the saturated voxel density based on the micro-CT scanning parameters of the heterogeneous material: rho_sat=1 / abc, where a, b, and c are the three sides of the voxel, respectively.

[0046] S012. Extract the voxel points of the microstructure inside the heterogeneous material based on the micro-CT image, and calculate the actual voxel point density rho_sample in the heterogeneous material.

[0047] S013, then the volume fraction of the heterogeneous material is Fraction = rho_sample / rho_sat × 100%.

[0048] In step S040 above, the specific steps for calculating the characteristic dimensions of the cell walls of the microstructure of the heterogeneous material are as follows:

[0049] S041. Extract the central axis of the cell wall of the microstructure;

[0050] S042. Randomly arrange N search points on the central axis;

[0051] S043. Set the initial search radius value r for the i-th (i = 1, 2, ..., N) search point to obtain the search sphere i, and calculate the voxel density rho(i) in the search sphere i.

[0052] S044. Compare the voxel density rho(i) in the search sphere i with the saturated voxel density rho_sat. If rho(i) reaches the saturated voxel density rho_sat, then the minimum cell wall thickness Th_short(i) at the search point i is 2r. If it does not reach saturation, then decrease the radius value and iterate until the voxel density in the search sphere reaches saturation.

[0053] S045. Calculate the minimum cell thickness values ​​(Th_short(i), i = 1, 2, ..., N) at all search points, and take the average value as the average narrow side thickness Th_short of the cell wall for this heterogeneous material.

[0054]

[0055] S046. Redefine the initial search radius value R for the i-th search point to obtain the ball table i, and calculate the voxel density rho_Tai(i) within the ball table i; the i-th ball table is defined as the part of the center of the i-th search ball with a height of Th_short(i);

[0056] S047. Repeat steps S044-S045 until the voxel density in the ball table reaches the saturation value rho_sat. Then the maximum thickness of the cell wall at search point i is 2R, and the average width thickness of the cell wall of the heterogeneous material is Th_long.

[0057] In step S050 above, the specific steps for determining the structural morphology type of the cell wall of the microstructure of the heterogeneous material are as follows:

[0058] S051. Define the structural morphology index of the cell wall by combining the average narrow side thickness and average wide side thickness of the cell wall of the microstructure of heterogeneous materials: Type_Index = Th_long / Th_short, and the value of Type_Index is greater than or equal to 1.

[0059] S052. If Type_Index≤1.5, the cell structure morphology of the heterogeneous material is defined as columnar; otherwise, it is defined as plate-like. The larger the value of Type_Index, the more "flat" the cell wall is.

[0060] In step S060 above, the method for calculating the gap characteristic size of the microstructure of the heterogeneous material is as follows: extract the negative model of the microstructure sample, and use the same method as calculating the cell wall thickness to calculate based on the negative model, thereby obtaining the average narrow side gap Sp_short and the average wide side gap Sp_long of the heterogeneous material; it should be noted that the microstructure gap is generally defined as the average distance between the walls of the microstructure cells. This average distance is the minimum distance between two objects. Therefore, the average diameter of the tangent sphere within the microstructure gap at all search points is defined as Sp_short as the average gap size of the heterogeneous material.

[0061] In step S070 above, the method for calculating the number of microstructure cells of heterogeneous material per unit length is as follows: the average length occupied by each cell is the sum of the cell wall thickness and the size of the cell gap: Len = Th_short + Sp_short; therefore, the number of cells per unit length can be defined as: Number = 1 / Len.

[0062] The quantitative analysis method for the microstructure parameters of heterogeneous materials of the present invention will be further elaborated below with reference to specific embodiments.

[0063] This embodiment takes a porous solid material as an example, and the specific method is as follows:

[0064] For porous solid materials, micro-CT scanning is performed. There are no specific requirements for the scanning resolution; the goal is simply to distinguish the structures of different components. Figure 1 As shown, the voxel size in this micro-CT scan is 0.09mm*0.09mm*0.09mm; the point density of voxels in saturated state 1 within the porous solid material under this scan setting is calculated as: rho_sat=1 / 0.09 3 The calculated result is 1371 / mm. 3 Extract the microstructure voxel points 2 of the porous solid material, count the number of voxel points in the microstructure within the porous solid material, divide by the nominal volume of the porous solid material, and obtain the voxel point density of the porous solid material:

[0065]

[0066] The volume fraction of the porous solid material is then the ratio of the actual voxel density to the voxel density in the saturated state.

[0067]

[0068] The final calculated volume fraction of the porous solid material was 35.52%.

[0069] like Figure 2As shown, in order to calculate the cell wall thickness of the porous solid material, the microstructure 3 is reconstructed in three dimensions based on micro-CT images, and the central axis 4 of the cell wall is extracted; 100 random search points 5 are arranged on the central axis.

[0070] First, calculate the thickness of the narrow side of the cell wall. For example... Figure 3 As shown, an initial diameter of 6 is assigned to the search point i (i = 1, 2, ... 100). When setting the initial value, it should be ensured that the cell wall thickness is less than the initial value. In this embodiment, the initial radius r is 1 mm; the voxel density rho(i) inside the search sphere under the initial radius is calculated, and it is determined whether the saturated voxel density rho_sat has been reached. If the saturated density has not been reached, the radius r is reduced and the point density inside the sphere is iteratively calculated until the saturation value is reached. At this time, the search sphere 7 is the inscribed sphere of the cell wall 8, and the narrow side wall thickness of the cell at the search point i is Th_short(i) = 2r.

[0071] Next, calculate the thickness of the wide side of the cell wall. For example... Figure 4 As shown, the initial search radius value 9 of search point i is redefined. In this embodiment, the initial radius R is 2mm. The voxel density rho_Tai within the sphere is calculated. The sphere is defined as the part with a height of Th_short(i) at the center of search sphere i. This continues until the voxel density within sphere i reaches the saturation value rho_sat. At this point, the i-th search sphere 10 is the circumscribed sphere of cell wall 8, and the maximum thickness of cell wall at search point i is Th_long(i) = 2R.

[0072] like Figure 5 As shown, the inscribed sphere 11 with narrow side thickness and the circumscribed sphere 12 with wide side thickness at 100 search points within the porous solid material are fitted respectively. Taking the average of the 100 search points, the average narrow side thickness Th_short of the cell wall of the porous solid material is calculated to be 0.19 mm, and the average wide side thickness Th_long is 0.28 mm.

[0073] Furthermore, the ratio of the average width thickness to the average narrow thickness of the cell wall is defined as the microstructure cell wall morphology index:

[0074]

[0075] Therefore, in this embodiment, the microstructure cell wall morphology index of the porous solid material is 1.48, which satisfies Type_Index≤1.5, and the cell wall is more columnar.

[0076] like Figure 6As shown, to calculate the characteristic dimensions of the microstructure pores, a negative model 13 of microstructure 3 is taken, the central axis 14 of 13 is extracted, and 100 random search points 15 are arranged on 14; the characteristic dimensions of the microstructure pores are calculated using the same method as for calculating the wall thickness of the microstructure. Figure 7 As shown, the narrow-side inscribed sphere 16 and wide-side circumscribed sphere 17 at 100 search points are fitted respectively. By averaging the values ​​at the 100 points, the final average narrow-side size Sp_short of the porous solid material is 0.33 mm, and the average wide-side size Sp_long is 0.49 mm. It should be noted that the microstructure gap is generally defined as the average distance between the walls of the microstructure cells. This average distance is the minimum distance between two objects. Therefore, the narrow-side size of the pores at all search points is defined as the average gap size of the porous solid material, i.e., 0.33 mm.

[0077] Finally, calculate the average number of cells per unit length. For example... Figure 8 As shown, the average length occupied by each cell is the sum of the cell wall thickness 18 and the intercellular space size 19:

[0078] Len = Th_short + Sp_short

[0079] Therefore, the number of cells per unit length can be defined as:

[0080]

[0081] The final calculated number of cells per unit length of the porous solid material in this embodiment is 1.91 / mm.

[0082] In summary, the method for calculating the microstructure parameters of heterogeneous materials in this invention can calculate multiple characterization parameters of microstructures based on the micro-CT voxel information of the sample microstructure, including volume fraction, cell feature size, cell wall structure morphology type, microstructure gap feature size, and number of microstructure cells per unit length.

[0083] This invention offers accurate calculations and has a wide range of applications, providing a basis for the microstructure analysis of heterogeneous materials and their relationship with macroscopic mechanical properties.

[0084] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for quantitative analysis of microstructure parameters of heterogeneous materials, characterized in that, The main steps include: (1) First, the geometric features of the microstructure of the heterogeneous material are scattered based on the micro-CT voxel coordinates; (2) Set up a representative computational domain for heterogeneous materials and ensure that each direction within the computational domain contains at least 5 microstructural feature cells; (3) Calculate the volume fraction of the microstructure of the heterogeneous material by the ratio of the actual number of voxel points of the microstructure in the computational domain to the number of saturated voxel points in the computational domain. (4) Extract the central axis of the microstructure, and arrange any number of random search points along the central axis to fit the inscribed sphere and circumscribed sphere of the cell wall at each search point, thereby calculating the characteristic dimensions of the cell wall of the heterogeneous material microstructure at any point, namely the minimum and maximum cell wall thickness. (5) Determine the structural morphology of the cell wall of the microstructure of heterogeneous materials by the ratio of the maximum and minimum wall thickness of the cell; (6) Extract the negative model of the microstructure and calculate the characteristic size of the microstructure pores in the heterogeneous material; (7) Calculate the number of heterogeneous material microstructure cells per unit length by combining the average wall thickness and average gap size of the microstructure cells of the heterogeneous material.

2. The method for quantitative analysis of microstructure parameters of heterogeneous materials as described in claim 1, characterized in that, The specific steps for calculating the volume fraction of the microstructure of the heterogeneous material in step (3) are as follows: (1.1) Calculate the saturated voxel density based on the micro-CT scanning parameters of the heterogeneous material: rho_sat=1 / abc, where a, b, and c are the three sides of the voxel, respectively. (1.2) Extract the voxel points of the microstructure inside the heterogeneous material based on the micro-CT image, and calculate the actual voxel point density rho_sample in the heterogeneous material; (1.3) The volume fraction of the heterogeneous material is Fraction = rho_sample / rho_sat × 100%.

3. The method for quantitative analysis of microstructure parameters of heterogeneous materials as described in claim 1, characterized in that, The specific steps for calculating the characteristic dimensions of the cell walls of the heterogeneous material microstructure in step (4) are as follows: (4.1) Extract the central axis of the cell wall of the microstructure; (4.2) Randomly arrange N search points on the central axis; (4.3) Set an initial search radius value r for the search point to obtain the search sphere, and calculate the voxel density rho in the search sphere; (4.4) Compare the voxel density rho in the search sphere with the saturated voxel density rho_sat. If rho reaches the saturated voxel density rho_sat, the minimum cell wall thickness at the search point is 2r. If it does not reach saturation, reduce the radius value and iterate until the voxel density in the search sphere reaches saturation. (4.5) Calculate the minimum cell thickness at all search points, take the average value, and use it as the average narrow side thickness Th_short of the cell for the heterogeneous material; (4.6) Redefine the initial search radius value R for the search point to obtain the ball table, and calculate the voxel density rho_Tai in the ball table; the ball table is defined as the part of the center of the search ball with a height of Th_short; (4.7) Repeat steps (4.4)-(4.5) until the voxel density in the ball table reaches the saturation value rho_sat. Then the maximum thickness of the cell wall at the search point is 2R, and the average width thickness of the cell wall of the heterogeneous material is Th_long.

4. The method for quantitative analysis of microstructure parameters of heterogeneous materials as described in claim 1, characterized in that, The specific steps for determining the structural morphology type of the cell wall of the heterogeneous material microstructure in step (5) are as follows: (5.1) The structural morphology index of the cell wall is defined by combining the average narrow side thickness and average wide side thickness of the cell wall of the heterogeneous material: Type_Index = Th_long / Th_short, where the value of Type_Index is greater than or equal to 1, and Th_short is the average narrow side thickness of the cell wall of the heterogeneous material, and Th_long is the average wide side thickness of the cell wall of the heterogeneous material. (5.2) If Type_Index≤1.5, the cell wall structure morphology of the heterogeneous material is defined as columnar; otherwise, it is defined as plate-like. The larger the value of Type_Index, the "flatter" the cell wall is.

5. The method for quantitative analysis of microstructure parameters of heterogeneous materials as described in claim 1, characterized in that, The method for calculating the gap feature size of the heterogeneous material microstructure in step (6) is as follows: extract the negative model of the microstructure sample, and use the same method as calculating the cell wall thickness to calculate based on the negative model, thereby obtaining the average narrow side gap Sp_short and average wide side gap Sp_long of the heterogeneous material.

6. The method for quantitative analysis of microstructure parameters of heterogeneous materials as described in claim 1, characterized in that, The method for calculating the number of microstructure cells of the heterogeneous material per unit length in step (7) is as follows: the average length occupied by each cell is the sum of the cell wall thickness and the cell gap size: Len = Th_short + Sp_short, where Th_short is the average narrow side thickness of the cell wall of the heterogeneous material, and Sp_short is the average narrow side gap of the heterogeneous material; the number of cells per unit length can be defined as: Number = 1 / Len.

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