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Materials - Mechanics | Plasticity and Beyond - Microstructures, Crystal-Plasticity and Phase Transitions

Plasticity and Beyond

Microstructures, Crystal-Plasticity and Phase Transitions

Schröder, Jörg, Hackl, Klaus

2014, VII, 412 p. 150 illus.

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  • Latest findings in the field of advanced finite plasticity are described
  • High number of 150 illustrations helps to understand the mathematical formulas
  • Applications in the area of material design are covered
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.

Content Level » Research

Keywords » Advanced Mathematical Modeling - Crystal Plasticity - Microstructures - Multiscale Approaches - Phase Transitions

Related subjects » Characterization & Evaluation of Materials - Mathematics - Mechanics

Table of contents 

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.

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