Singular rigid/plastic solutions in anisotropic plasticity under plane strain conditions

Abstract

Assuming a rigid plastic material model with arbitrary smooth yield criterion, it is shown that the plane strain solutions are singular in the vicinity of maximum friction surfaces. In particular, some components of the strain rate tensor and thus the equivalent strain rate approach infinity. It is also shown that the exact asymptotic representation of the solution near maximum friction surfaces depends on the shape of the yield contour in the Mohr stress plane.