An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity – Energy Reduction, Laminate Orientation and Cyclic Behavior

Abstract

AbstractThe plastic deformation of crystalline solids often gives rise to complex microstructural patterns, which can be observed experimentally and which have been reasoned to form as minimizers of non-quasiconvex energy potentials. We model the time-continuous evolution of laminate microstructures in finite-strain elastoplasticity via incrementally solving the stationarityconditions of the underlying minimum principles, replacing the nonconvex potentials by relaxed forms that account for laminate microstructures of first order. Here, we apply a timeincremental approach to investigate the orientation of the forming laminates dependent on the active slip system orientation. We present results for monotonic as well as cyclic stress-strain behavior. Moreover, we compare results from the present approach to those obtained by the well-established method using the so-called condensed energy for monotonic loading.Key wordsMicrostructureplasticityfinite strainsrelaxation