VCFEM-Based Elastoplastic Numerical Simulation For Polymer Matrix Composites

Polymer based composites have been widely used in the national economy and ordnance industries because of their mechanical properties compared to conventional structural materials. The second phase in the particles reinforced polymer based composites make their mechanical properties changed greatly.It's an important job to predict the macroscopic mechanical properties according to the microscopic structure.Asymptotic homogenization method provides an important means to analyze and predict composite material properties. It can combine meso-scale with macro-scale to get the macroscopic effective property parameters as well as the microscopic stress and strain field. VCFEM method can accurately describe the shape, size and random spatial distribution of the microstructure. It can construct a base cell with arbitrary shape as a representative unit of the microstructure features at different points of the macro-structure of composites.The Voronoi cell finite element method with asymptotic homogenization method emerges as an important tool for analyzing microstructures in many materials in this paper. At the mesoscopic scale, the Voronoi cell is used to describe the microstructure. The Surplus energy function is used to established nonlinear solving equations. Increment finite element method is used to solve the equations. At last, microscopic stress field and the equivalent elastic-plastic constants are obtained. The mechanical analysis of macroscopic structure is finished by ANSYS.Based on the above-mentioned theories and method, the mesoscopic field elastic-plastic analysis module is developed by Visual C++. The results of numerical simulation given by the procedure are as follows:The first is to calculate the elastic-plastic parameters of the representative materials in different stress and deformation. Compared with the literature, the results are valid. The second is to calculate elastic-plastic parameters of different volume fraction of particles reinforced composites under boron. The calculation results are also consistent with the literature. Finally, the program is used to calculate the equivalent elastic-plastic constants of Silica/Epoxy Resin composites. Using the above data, the elastic-plastic analysis of Macro components is finished by ANSYS.