STRESS-ANALYSIS OF AN ORTHOTROPIC WORK-HARDENING CYLINDER WITH BODY FORCE

An elastoplastic analysis of an axisymmetric cylinder subjected to lin ear body forces is presented. The effect of reinforcement and anisotro py are also included. Classical plasticity and familiar assumptions of plane stress and strain are used to arrive at closed-form solutions f or the case of linear body forces. The problem is solved for the gener al case in which orthotropy is considered in the elastic range. For th e case of plasticity, first the isotropic yield functions (von Mises a nd Tresca) are used and then the problem is extended to the case of Hi ll's yield criterion. Closed-form solutions are found for both the von Mises (plane strain) and Tresca (plane stress and strain) cases.