Topology optimization is concerned with the identification of optimal shapes deformable bodies respect to given target functionals. The focus this paper on a topology problem for time-evolving elastoplastic medium under kinematic hardening. We adopt phase-field approach and argue by subsequent approximations, first discretizing time then regularizing flow rule. Existence proved both at time-dis...

The present paper derives a multifield formulation of ideal elastoplasticity to enable the consistent application higher order accurate RUNGE-KUTTA schemes. With help an axisymmetric model problem appearing time discretization errors distinct schemes are determined and compared.

This paper presents a summary of the new semi-analytical integration method presented in [10] for von Mises elastoplasticity model with combined linear isotropic-kinematic hardening within a small deformation range. Solutions for the case of constant strain rate and constant stress rate assumptions are also presented. Furthemore, it is shown how the general solution reduces to the particular ca...