Equations of the geometrically nonlinear plane problem of elasticity theory in a stationary coordinate system

Abstract

A new approach to the derivation of equations of elasticity theory in a stationary cartesian coordinate system is presented. Equations are obtained on the basis of the principle of virtual displacements for the strain state. It is shown that this approach results in a closed system of equations. A description of the process of tension-induced necking is obtained by solving this system.