Anisotropic Plasticity of Plane-Isotropic Sheets

Abstract A general equation is written for the plane-stress yield condition of orthotropic sheet material that is isotropic in its plane. A set of constitutive relations for planar-isotropic strain hardening is then formulated on the basis of the usual normality rule for strain rates, together with the assumption of a scalar relation between an effective stress and a work-equivalent effective strain. It is shown how particular laws proposed earlier for sheet-metal plasticity fit into the general scheme. Solutions to the problem of balanced biaxial stretching of a sheet containing a circular hole illustrate a wide range of effects produced by various realizations of the general constitutive relations.