The Mechanics Simulation of MSG Strain Gradient Plasticity Theory in Granular Material

 

Liu Jia1,2,3 and Fang Yingguang1,2

1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong 510641, China
2. State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou, Guangdong 510641, China

 

 ABSTRACT

The size effect of granular material is related with its microstructure, of which discontinuity will cause the discontinuity of deformation, interfacial stress and energy space at the micro level. MSG strain gradient plasticity theory can correctly predict the size effect of granular material by considering the microstructure characteristics of granular material and introducing strain gradient which describes the discontinuity of physical quantities in the classic elastic-plastic constitutive relation. Based on the MSG strain gradient plasticity theory, we use the virtual work principle to derive the equilibrium equation and the boundary conditions, and then propose the incremental equations and the iterative process of finite element. It can be used as a method to simulate the deformation to failure process of granular material and predict its special mechanics behavior.

Keywords: granular material; strain gradient; microstructure; size effect; finite element

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