Non‐linear analysis for anisotropic materials

An elasto‐plastic analysis of anisotropic work‐hardening materials, using the finite element method is presented. The analysis is based on the generalized Huber‐Mises yield criterion extended by Hill for anisotropic materials. General expressions for the anisotropic parameters in the yield criterion have been derived both for initial yielding as well as subsequent yielding in the case of work‐hardening materials. The isoparametric ‘quadratic’ quadrilateral elements have been used for the analysis and the ‘initial stress technique’ has been adopted for the iterative solution of the non‐linear problems. The results of the various numerical examples have been compared with the available solutions.