Abstract In this work the finite element (FE) implementation of small strain cyclic plasticity is discussed. The family elastoplastic constitutive models considered which uses mixed, kinematic-isotropic hardening rule. It assumed that kinematic governed by Armstrong–Frederick law. radial return mapping algorithm utilized to discretize general form equation. A relation for consistent tangent ope...

In this paper we study the twist disclination within the elastoplastic defect theory. Using the stress function method, we found exact analytical solutions for all characteristic fields of a straight twist disclination in an infinitely extended linear isotropic medium. The elastic stress, elastic strain and displacement have no singularities at the disclination line. We found modified stress fu...

A stress integration algorithm for the finite-step elastoplastic constitutive equations of J2 material models under plane stress condition is presented. The procedure is referred to a two-dimensional continuum model consistently derived from the threedimensional one by implicitly fulfilling the constraint enforced by the plane stress condition. A direct exploitation of the property which charac...

The paper reports some results on computational plasticity obtained within the Special Research Program “Numerical and Symbolic Scientific Computing” and within the Doctoral Program “Computational Mathematics” both supported by the Austrian Science Fund FWF under the grants SFB F013 and DK W1214, respectively. Adaptivity and fast solvers are the ingredients of efficient numerical methods. The p...

The quasi-static viscoplastic resp. elastoplastic evolution problem with isotropic or kinematic hardening is considered with emphasis on optimal convergence and adapted mesh-refining in the spatial discretization. Within one time-step of an implicit time-discretization, the finite element method leads to a minimisation problem for non-smooth convex functions on discrete subspaces. For piecewise...

The development of highly accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both considering the appropriate model assumptions and from viewpoint data availability, verification, validation. Recently, data-driven modeling approaches have been proposed aim establish stress-evolut...