A matrix technique for constructing slip‐line field solutions to a class of plane strain plasticity problems

Abstract

Abstract A procedure is described for solving plane strain rigid perfect‐plasticity problems which lead to linear integral equations. The problem of finding the initial characteristic (slip‐line), from which the complete field can be constructed, is reduced to a simple matrix inversion. Although the form of this matrix will depend on the particular problem concerned, it will be expressible in terms of a few fundamental matrices which occur in all problems of this type. The properties of these basic matrices and FORTRAN subroutines for assimilating them and for performing the corresponding linear transformations are given in detail. In illustration the procedure is applied to a drawing and to a strip rolling problem.