MATHEMATICAL PROGRAMMING FORMULATION OF STATE CHANGE ANALYSIS OF FINITE ELEMENT MODELS WITH SOME UNILATERAL CONNECTIONS

Abstract

The ideal elastic-plastic and locking-contact behaviour of structures can be handled in a unified manner on the basis of the total duality between the two unilateral phenomena. The relating variational inequality problems lead to mathematical programming problems. The mathematical programming problems relating to the finite element realization of the state change analysis of structures with general unilateral plastic-locking connections is presented here.