Plasticity and Beyond [libro electrónico] : ; Microstructures, Crystal-Plasticity and Phase Transitions / edited by Jorg Schroder, Klaus Hackl.

A discrete two-scale homogenization scheme of micro-macro-transition procedure: The FE2-method -- Variational modeling of microstructures in plasticity -- Micromorphic approach to crystal plasticity and phase transformation -- Formation of deformation substructures observed in ductile materials -- On scale-dependent crystal plasticity models -- Construction of statistically similar representative volume elements.

The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.