Simple Shear of a Strain-hardening Elastoplastic Hollow Circular Cylinder

Stress and deformation analysis of the simple shear at finite strain of a strainhardening elastoplastic hollow circular cylinder is given. Both isotropic and anisotropic hardening models are considered. In the case of isotropic hardening, there is a closed form analytical solution. No normal stresses exist in this case. Purely kinematic hardening with a Mises-type yield condition is utilized as a model of anisotropic hardening. Conventional (average) spin is taken to construct the objective Jaumann derivative needed in the structure of the corresponding constitutive laws. Governing partial differential equations are derived and solved numerically to give stress and deformation distribution following the advance of plastic flow. The extent or range of the appropriateness of the considered constitutive model is also established.