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Analysis and Computation of Microstructure in Finite Plasticity

  • Book
  • © 2015

Overview

Editors:
  1. Sergio Conti

    1. Inst. für Angewandte Mathematik, Universität Bonn, Bonn, Germany

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  2. Klaus Hackl

    1. Lehrstuhl für Mechanik - Materialtheorie, Ruhr-Universität Bochum, Bochum, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Fosters fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure
  • Covers all length scales, from the atomic structure up to macroscopic samples
  • Presents efforts of leading scientists

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 78)

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Table of contents (9 chapters)

  1. Front Matter

    Pages 1-11
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  2. Numerical Algorithms for the Simulation of Finite Plasticity with Microstructures

    • Carsten Carstensen, Dietmar Gallistl, Boris Krämer
    Pages 1-30

  3. Variational Modeling of Slip: From Crystal Plasticity to Geological Strata

    • Sergio Conti, Georg Dolzmann, Carolin Kreisbeck
    Pages 31-62

  4. Rate-Independent versus Viscous Evolution of Laminate Microstructures in Finite Crystal Plasticity

    • Christina Günther, Dennis M. Kochmann, Klaus Hackl
    Pages 63-88

  5. Variational Gradient Plasticity: Local-Global Updates, Regularization and Laminate Microstructures in Single Crystals

    • Steffen Mauthe, Christian Miehe
    Pages 89-123

  6. Variational Approaches and Methods for Dissipative Material Models with Multiple Scales

    • Alexander Mielke
    Pages 125-155

  7. Energy Estimates, Relaxation, and Existence for Strain-Gradient Plasticity with Cross-Hardening

    • Keith Anguige, Patrick W. Dondl
    Pages 157-173

  8. Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations

    • Stefan Müller, Lucia Scardia, Caterina Ida Zeppieri
    Pages 175-204

  9. Microstructure in Plasticity, a Comparison between Theory and Experiment

    • Olga Dmitrieva, Dierk Raabe, Stefan Müller, Patrick W. Dondl
    Pages 205-218

  10. Construction of Statistically Similar RVEs

    • Lisa Scheunemann, Daniel Balzani, Dominik Brands, Jörg Schröder
    Pages 219-256

  11. Back Matter

    Pages 257-257
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Keywords

About this book

This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.

Editors and Affiliations

  • Inst. für Angewandte Mathematik, Universität Bonn, Bonn, Germany

    Sergio Conti

  • Lehrstuhl für Mechanik - Materialtheorie, Ruhr-Universität Bochum, Bochum, Germany

    Klaus Hackl

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