Finite Strain upon Elastic–Plastic Torsion of an Incompressible Circular Cylinder

Abstract

An exact analytical solution of the problem of torsion of an incompressible circular cylinder with fixed ends has been obtained. No limitations are imposed on the values of reversible and irreversible strains. It is assumed that the elastic behavior of the medium is described within the two-constant Mooney–Rivlin model and that the plastic flow is ideal. The yield surface is chosen to be a Tresca prism. The multiplicative decomposition of the Almansi strain measure in reversible and irreversible components is applied.