Abstract
This paper concerns modeling of soft granular materials in which the grains are highly deformable. In order to simulate these materials, an approach based on an implicit formulation of the Material Point Method in the context of the finite strain theory, allowing for large deformations of grains, coupled with the Contact Dynamics method for the treatment of unilateral frictional contacts between grains, is proposed. In this context, the Mooney-Rivlin constitutive relationship is applied with two different set of elastic parameters. Considering these two material behaviors, a uniaxial compression of 2D soft granular packings is analyzed. The stress-strain relation and the evolution of the packing fraction as well as of the connectivity of the grains are discussed.
Highlights
Granular materials are an important class of matters found in the nature and in a large number of industrial fields like civil engineering, food and pharmaceutical industries, powder technologies, etc
Most of experiments and numerical simulations stay in the small deformation regime for theoretical convenience and are not able to catch the behavior of granular materials with highly deformable grains [3,4,5,6]
In a previous work [11], an implicit formulation of the material point method has been described to model the soft granular system. It was coupled with the contact dynamics method to deal with the frictional contact between deformable grains
Summary
Granular materials are an important class of matters found in the nature and in a large number of industrial fields like civil engineering, food and pharmaceutical industries, powder technologies (chemistry, cosmetics...), etc. In many situations, these materials can be highly stressed and their constitutive grains undergo relatively high elastic or inelastic deformations without rupture. Numerical simulation of compression of a deformable granular system is carried out by mean of Material Point Method (MPM) extended to the finite strain theory. The material behavior of the grains affects the stress level and its evolution during compaction
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