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| Numerical simulation on three-dimensional domains with large numbers of grains randomly distributed and fast algorithm to generate tetrahedron meshes |
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| DOI：10.7511/jslx20083062 |
| KeyWord:multiphase composite material,numerical simulation,wrong tetrahedron,original mesh,mesh generating algorithm |
| LI You-yun HE Chang-zhou CUI Jun-zhi LONG Shu-yao |
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| Abstract: |
| In this paper,the numerical simulation method for the composite material with large numbers of grains randomly distributed in three dimensional domains and the algorithm to auto-generate tetrahedron meshes in three dimensional domains are presented.Firstly,based on the properties of the composite material with grains randomly distributed and the simulating technique of the ellipses covering the grain of any shape,the simulation method for the composite material with a large number of random grain ellipses in three dimensional domains is given in section 2,and then the algorithm to obtain the original boundary points of random grains is described in section 3.Secondly,based on the cubic background meshes to fast search the inserted points and by the techniques to move the background points,one improved algorithm to automatically generate the tetrahedron meshes is established in section 4.Thirdly,some correctional techniques such as adding the points into the boundary of random grains and correcting the original boundary points to keep the properties of the boundary tetrahedron in the grains are introduced.Finally,some examples in three-dimensional domains illustrate that the above algorithm is valid.Finally,the future work of the paper is given.The algorithm can be extended to deal with the materials with cracks,cavities or other polyhedron grains. |
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