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IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains

Proceedings of the IUTAM Symposium held in Stuttgart, Germany, 20–24 August 2001

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Christian Miehe

    1. University of Stuttgart, Germany

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Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 108)

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Table of contents (43 papers)

  1. Front Matter

    Pages i-xviii
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  2. Variational Principles and Non-Convex Problems

    1. Front Matter

      Pages 1-1
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    2. Nonconvex Energy Minimization and Relaxation in Computational Material Science

      • C. Carstensen
      Pages 3-20

    3. Rank 1 Convex Hulls of SO(n)-Invariant Functions

      • M. šilhavý
      Pages 21-32

    4. Evolution of Rate-Independent Inelasticity with Microstructure using Relaxation and Young Measures

      • A. Mielke
      Pages 33-44

    5. Mathematical Analysis of Constitutive Equations: Existence and Collapse of Solutions

      • H. D. Alber
      Pages 45-53

    6. Variational Methods in Non-Convex Plasticity

      • S. Aubry, M. Ortiz
      Pages 55-66

    7. Pulling Phase-Transforming Bars: A Three-Dimensional Viewpoint

      • A. DeSimone
      Pages 67-76

    8. On the Calculation of Microstructures for Inelastic Materials using Relaxed Energies

      • K. Hackl, U. Hoppe
      Pages 77-86

    9. Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations

      • C. Miehe, M. Lambrecht, J. Schotte
      Pages 87-100

  3. Modeling of Complex Material Response

    1. Front Matter

      Pages 101-101
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    2. Superelasticity in Shape-Memory Materials

      • L. Anand, P. Thamburaja
      Pages 103-114

    3. Physically-Based Single and Polycrystal Plasticity Models and their Experimental Verification

      • S. Nemat-Nasser
      Pages 115-130

    4. Localized Plastic Flow in Single Crystals: A Nonlocal Analysis

      • A. Needleman
      Pages 131-140

    5. Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility

      • B. Svendsen, S. Reese
      Pages 141-150

    6. Objective Rates in Finite Elastoplasticity

      • O. T. Bruhns
      Pages 151-160

    7. Finite Deformation Plasticity with Void Growth and Asymmetric Compression-Tension Behavior

      • R. Mahnken, E. Stein
      Pages 161-170

    8. On the Construction of Polyconvex Anisotropic Free Energy Functions

      • J. Schröder, P. Neff
      Pages 171-180

    9. Formulation and Computation of Geometrically Nonlinear Anisotropic Inelasticity

      • A. Menzel, P. Steinmann
      Pages 181-190

    10. On the Representation of Anisotropic Viscoplasticity

      • P. Haupt, T. Kersten
      Pages 191-200
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Keywords

About this book

The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak­ ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im­ plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan­ ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.

Editors and Affiliations

  • University of Stuttgart, Germany

    Christian Miehe

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