Nonlinear finite element analysis based on a large strain deformation theory of plasticity
The present paper is concerned with an efficient framework for a nonlinear finite element procedure for the numerical analysis of finite deformation elasticplastic problems, based on a deformation theory of plasticity. Stress measures are related to Greens strains via a hyperelastic constitutive law based on a free energy potential function, whereas the plastic behavior is described using a von Mises yield condition and Nadais deformation rule. The plastic strains and the current material properties are determined directly by a local Newton iteration procedure, and, furthermore, the development of a consistent elasticplastic tangent operator will also be discussed. Finally, the solution of finite strain elasticplastic boundary value problems is presented to demonstrate the efficiency of the algorithm.
von mises yield condition large strain analysis hyperelastic law nonlinear work-hardening nadais deformation law plastic incompressibility consistent tensor of elasticplastic moduli nonlinear finite element algorithm