Meshfree Method and its Application for Determining Stress-strain State of Elastic Matrix for Stamping by Elastic Medium

This paper presents the formulation and solving the problem of determining the stress-strain state in rubber products in a state of plane strain and large deformations. As an example the stress-strain state in an elastic stamping matrix is determined. Neo-Hookean solid hyperelastic material model is used. When solving the meshfree method in the nonlinear formulation and Uzawa algorithm for taking account of the contact interaction of elastic matrix with a rigid stamp were being applied. Since the meshless method is relatively little known in this country, an in-depth explanation of the essential concepts and solving the test problems are given.