Micro-structure Design And Analysis For Cellular Material Based On ANSYS

Cellular solid is a kind of coupling body formed by solid rods or solid plates, which come into being arris and wall of cell. The porous solid material is a kind of new-type engineering material developed rapidly in the past 20 years, it has a double attribute of function and structure, and play an enormous role in such aspects as structure, buffering, shock absorption.Considering the symmetry of cell structure, symmetry group theory of the crystal structure is introduced, and it describes precisely symmetry of pore structure. The Kelvin model is a 14-sided polyhedral structure containing six squares and eight hexagons, and can be compared favorably with crystalline grains observed in the metal and with cells observed in some biological structures, rhombic dodecahedron is a polyhedron micro-structure that can pile structures in the densest way. They have excellent symmetry, and belong to the point group m3m.Under the ideal situation, the holes of the cellular material are distributed evenly, and are symmetry and unchanged under translation transform. According to a representative volume element, this paper firstly describes a. finite element method for predicting the equivalent elastic modulus of 3-D periodic structures by using the homogenization theory.And then by using ANSYS software, the Kelvin and Rhombic dodecahedron model of solid is developed, periodic boundary condition is applied reasonably, and the equivalent elastic modulus E₁₁₁₁^H , E₁₁₂₂^H, E₁₂₁₂^H and equivalent Poisson's ratio μ₁₂^H of a regular structure arecomputed in accordance with various relative densities.The results show that the range of stiffness-mass ratio increases with the relative densities;at the same relative densities, the equivalent elastic modulus of close model is larger than one of open model;and equivalent Poisson's ratio μ₁₂^H of a open structure are vary significantlywith low-densities;equivalent modulus of Kelvin and Rhombic dodecahedron model are equal.