Abstract
A general deformation theory of small elastic-plastic strains in an orthotropic material is presented together with a variational formulation and solution technique for the associated discretized plane strain problem. Quasi-linear difference equations are obtained through minimization of the discretized potential energy function, resulting in positive definite stiffness matrices (given appropriate constraints on the elastic and plastic parameters of the material). Alternate ways of organizing the iterative calculation steps for digital computer are discussed. In addition, an analytic stress path criterion for the orthotropic deformation theory is given, based upon the concept of a corner forming on the yield surface.
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