Numerical Simulation of Constitution Relationship between Stress and Strain of Particulate Matters [Translated]†

Abstract

The relations between normal stress and normal strain and that between shear stress and shear strain, which are the constitution relationships, have been obtained in a simple and general particulate field by the numerical simulation using Distinct Element Method. We calculate the dynamics of particulate matters using the continuum model based on these relations. Furthermore, the numerically calculated constitutive relations are formulated in order to use them for the continuum model simulation. The constitution relationships presented in this work confirm the following.1.Stresses are functions of strains and packing ratios.2.The constitution relationship of particulate matters has a hysteresis because of the change in the internal state of the particulate matters.3.Particulate matters are deformed more easily by the shear stress than the normal stress.† This paper, published originally in Japanese in J. Soc. Powder Technology, Japan, 42, 116-124 (2005), is published in KONA with the permission of the editorial committee of the Soc. Powder Technology, Japan.

Keywords

• constitution relationship
• stress strain relation
• numerical simulation
• distinct element method
• particulate matter