Abstract—With the macroscopic mechanical properties of the particle reinforced composites, it has been used to approximate theoretical solution for a long time. With the development of computer, the comparison of uniaxial tension and simple shear is performed by the meso-mechanical theory and simulation. The simulation model uses the representative volume element (RVE) with periodic boundary conditions. The macroscopic stress and strain of the volume-averaged method use the Mori-Tanaka model and the Double-Inclusion model based on inclusion theory. The results demonstrate that the results with the meso-mechanics are agreement highly with the numerical simulation in the case of the linear elastic deformation. However, the results with the meso-mechanical method have deviation compared to the numerical simulation in the case of finite deformation.

Index Terms—Representative volume element, meso-mechanics, composite materials, numerical simulation, anisotropy.

Shulei Sun is with Department of Mechanics Engineering, Guizhou Institute of Technology, Guiyang 550003, China. Wenguo Chen is with School of Information Engineering, Qujing Normal University, Quijing 655011, China.

Cite:Shulei Sun, Wenguo Chen, "Comparison of Meso-Mechanics and Numerical Simulation Based on Particle-Reinforced Composites," International Journal of Applied Physics and Mathematics vol. 11, no. 2, pp. 33-42, 2021.

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