Plasticity and Beyond

1. Front Matter

   Pages i-vii

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2. A numerical two-scale homogenization scheme: the FE2-method

   • Jörg Schröder

   Pages 1-64

3. Variational modeling of microstructures in plasticity

   • Klaus Hackl, Ulrich Hoppe, Dennis M. Kochmann

   Pages 65-129

4. Micromorphic approach to crystal plasticity and phase transformation

   • Samuel Forest, Kais Ammar, Benoît Appolaire, Nicolas Cordero, Anaïs Gaubert

   Pages 131-198

5. Formation of deformation substructures observed in ductile materials

   • Jan Kratochvíl

   Pages 199-304

6. On scale-dependent crystal plasticity models

   • Mitsutoshi Kuroda

   Pages 305-353

7. Construction of Statistically Similar Representative Volume Elements

   • Daniel Balzani, Dominik Brands, Jörg Schröder

   Pages 355-412

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.

• Advanced Mathematical Modeling
• Crystal Plasticity
• Microstructures
• Multiscale Approaches
• Phase Transitions

From the book reviews:

“The present volume covers a wide spectrum of aspects pertaining to the analysis of elastoplastic behavior of materials, including the microstructure and scale effects. … The book is recommended for use by graduate students, doctoral students, post-doctoral researchers and researchers working in the above areas. The reviewer believes it to be a useful addition to the understanding and analysis of the complex elastoplastic behavior of materials.” (V. K. Arya, Mathematical Reviews, March, 2015)

• University of Duisburg-Essen, Essen, Germany

  Jörg Schröder

• Ruhr University Bochum, Bochum, Germany

  Klaus Hackl

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