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Plasticity and Beyond

Microstructures, Crystal-Plasticity and Phase Transitions

  • Book
  • © 2014

Overview

Editors:
  1. Jörg Schröder

    1. University of Duisburg-Essen, Essen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Klaus Hackl

    1. Ruhr University Bochum, Bochum, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 550)

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Table of contents (6 chapters)

  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
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Keywords

About this book

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.

Reviews

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)

Editors and Affiliations

  • University of Duisburg-Essen, Essen, Germany

    Jörg Schröder

  • Ruhr University Bochum, Bochum, Germany

    Klaus Hackl

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