NONLINEAR ANALYSIS OF PLANE PROBLEMS BY MATHEMATICAL PROGRAMMING

Abstract

A mixed variational principle based on a bilinear material model and on complementary potential energy is applied to the analysis of plane problems. Two discrete models are used to the construction of the fundamental equations. The first model consists of rigid rectangular panels connected along the edges by springs acting in tension, compression and shear and the other one is based on the standard finite element method. The application is illustrated by the solution of a numerical example.