A group of three-dimensional hollow porous structures with isotropic properties
A hollow porous, isotropic technology, applied in image data processing, 3D modeling, instruments, etc., can solve the problem that structural anisotropy cannot meet application requirements, and achieve the effect of broadening the application field.
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Embodiment 1
[0059] see Figure 1-8 , a group of three-dimensional hollow porous structures with isotropic properties, which include isotropic hollow porous structures generated by IWP-type, Gyroid-type, Primitive-type, Dimond-type and S-type minimal surfaces. The five hollow porous structures are composed of the same type Two basic structures with different parameters are generated, and the hollowing of the three-dimensional porous structure is realized by performing Boolean operations on the structures of the two specific parameters, and the obtained hollow porous structure has isotropic properties; at the same time, the five hollow porous structures have Each has unique structural characteristics and properties, and has different isotropic properties under different volume fractions.
[0060] Further, the basic structure function of two different specific parameters is a level set function, and the Boolean operation expression for generating hollow porous structure is F=min(F(x, y, z, t...
Embodiment 2
[0073] Gyroid-type hollow porous structure is characterized in that it presents a spiral shape in space, and the outer contour of the structure presents a spiral pattern, which is generated by two sets of Gyroid-type minimal surface structures with different parameters through Boolean operations; Gyroid-type minimal surface unit cell structure The expression of the function is:
[0074]
[0075] When the volume fraction is 0.2, the level parameter t 1 is -2.4638±0.1, the level parameter t 2 is 3.714±0.1, Zener ratio is 1.1108±0.02;
[0076] When the volume fraction is 0.3, the level parameter t 1 is -4.0192±0.1, the level parameter t 2 is 5.1667±0.1, Zener ratio is 1.1302±0.02;
[0077] When the volume fraction is 0.4, the level parameter t 1 is -7.0533±0.1, the level parameter t 2 is 5.1375±0.1, Zener ratio is 1.136±0.02;
[0078] When the volume fraction is 0.5, the level parameter t 1 is -6.3741±0.1, the level parameter t 2 is 8.7823±0.1, Zener ratio is 1.1273±0...
Embodiment 3
[0082] The primitive hollow porous structure is characterized in that the supports protruding in the six positive directions in space are all in contact with the six surfaces, and there is an open hole in the structure that is the same as the basic structure, and it is composed of two sets of different parameters. The primitive type minimal surface structure is generated by Boolean operations; the expression of the function of the primitive type minimal surface unit cell structure is:
[0083]
[0084] When the volume fraction is 0.2, the level parameter t 1 is -14.348±0.1, the horizontal parameter t 2 is -6.0601±0.1, Zener ratio is 0.9758±0.02;
[0085] When the volume fraction is 0.3, the level parameter t 1is -15.858±0.1, the level parameter t 2 is -3.3549±0.1, Zener ratio is 0.9708±0.02;
[0086] When the volume fraction is 0.4, the level parameter t 1 is -17.24±0.1, the level parameter t 2 is -0.4946±0.1, Zener ratio is 0.9603±0.02;
[0087] When the volume frac...
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