Plasticity and Beyond: Microstructures, Crystal-Plasticity and Phase Transitions

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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.

Author(s): Jörg Schröder (auth.), Jörg Schröder, Klaus Hackl (eds.)
Series: CISM International Centre for Mechanical Sciences 550
Edition: 1
Publisher: Springer-Verlag Wien
Year: 2014

Language: English
Pages: 412
Tags: Continuum Mechanics and Mechanics of Materials; Mathematical Modeling and Industrial Mathematics; Characterization and Evaluation of Materials

Front Matter....Pages i-vii
A numerical two-scale homogenization scheme: the FE 2 -method....Pages 1-64
Variational modeling of microstructures in plasticity....Pages 65-129
Micromorphic approach to crystal plasticity and phase transformation....Pages 131-198
Formation of deformation substructures observed in ductile materials....Pages 199-304
On scale-dependent crystal plasticity models....Pages 305-353
Construction of Statistically Similar Representative Volume Elements....Pages 355-412