Jörg Schröder & Klaus Hackl 
Plasticity and Beyond 
Microstructures, Crystal-Plasticity and Phase Transitions

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.

Зміст

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.