The Analysis of Deformable Body by Discontinuum Model

Discontinuum Model and Its Fundamental Equations

Abstract

It is a difficult problem to analyze the soil thrust of tractors or the resistance to tillage implements because it includes the failure of soil. The analysis of deformable body is usually made with continuum model. Continuum model is naturally important, but it is not necessarily suitable for the problem of deformable body with failure, because its fundamental concepts of stress or strain tensors lose their meaning where failure arises. This study tries to develop a method of analysis on deformable body by using a discontinuum model founded on the concepts which are quite different from those of continuum model. This method will generally be able to deal with small deformation to large one with failure, because the fundamental concepts of discontinuum model are independent of the deformation of the model system.