关键词: 弹性变形, 复合材料, 细观力学, 有限元法

Abstract: Particle reinforcement method is an important measure to improve the properties of materials. To predict the relationships among micro structures and mechanical properties of a composite material is a basis to realize stronger of materials. It is favorable to introduce multi-scale models in order to investigate the influence of micro structures on macro mechanical properties for better analysis, design and optimation of composite materials. Based on homogenization theory, using Voronoi cell finite element method to perform numerical simulation to particle reinforced composite materials. The macro equivalent elastic constants of a composite material can be predicted, and the micro stress fields are attained directly. In micro scale, the equilibrated stress fields are first assumed, and Voronoi stress cells are adopted to get the complimentary energy functional, so that the control equations can be established, and a set of linear algebraic equations that can be directly resolved is formed. Finally, the stress coefficients are calculated and the micro stress fields are attained. In macro scale, the macro structure analysis is done with the finite element analysis software ANSYS. The macro average value of elastic module is calculated by homogenization method, which is inputed into the ANSYS system to perform calculations. So that the two scales of macro and micro can be coupled and a mechanical analysis can be executed to the structures made of particle reinforced composite materials.

Key words: Composite materials, Elastic deformation, Finite element method, Micromechanics