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IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials

Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008

  • Klaus Hackl
Conference proceedings

Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 21)

Table of contents

  1. Front Matter
    Pages i-xvii
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  2. Stability of Quasi-Static Crack Evolution through Dimensional Reduction
    Jean-François Babadjian
    Pages 1-13
  3. FE2-Simulation of Microheterogeneous Steels Based on Statistically Similar RVEs
    D. Balzani, J. Schröder, D. Brands
    Pages 15-28
  4. Advancements in the Computational Calculus of Variations
    Carsten Carstensen, Cataldo Manigrasso
    Pages 29-50
  5. A Phase Field Approach to Wetting and Contact Angle Hysteresis Phenomena
    Antonio DeSimone, Livio Fedeli, Alessandro Turco
    Pages 51-63
  6. Application of Relaxation Methods in Materials Science: From the Macroscopic Response of Elastomers to Crystal Plasticity
    Georg Dolzmann
    Pages 65-77
  7. Variational Concepts with Applications to Microstructural Evolution
    F. D. Fischer, J. Svoboda, K. Hackl
    Pages 79-90
  8. A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation
    Rainer Heinen, Klaus Hackl
    Pages 91-103
  9. Solution-Precipitation Creep – Modeling and Extended FE Implementation
    Sandra Ilic, Klaus Hackl
    Pages 105-116
  10. Time-Continuous Evolution of Microstructures in Finite Plasticity
    Dennis M. Kochmann, Klaus Hackl
    Pages 117-130
  11. Models for Dynamic Fracture Based on Griffith’s Criterion
    Christopher J. Larsen
    Pages 131-140
  12. An Energetic Approach to Deformation Twinning
    Khanh C. Le, Dennis M. Kochmann
    Pages 141-155
  13. Computational Homogenization of Confined Frictional Granular Matter
    H. A. Meier, P. Steinmann, E. Kuhl
    Pages 157-169
  14. Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization
    Alexander Mielke
    Pages 171-183
  15. Error Bounds for Space-Time Discretizations of a 3D Model for Shape-Memory Materials
    Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli
    Pages 185-197
  16. On the Implementation of Variational Constitutive Updates at Finite Strains
    J. Mosler, O. T. Bruhns
    Pages 199-208
  17. Phase-Field Modeling of Nonlinear Material Behavior
    Y.-P. Pellegrini, C. Denoual, L. Truskinovsky
    Pages 209-220
  18. Polyconvex Energies for Trigonal, Tetragonal and Cubic Symmetry Groups
    Jörg Schröder, Patrizio Neff, Vera Ebbing
    Pages 221-232
  19. Phase Transitions with Interfacial Energy: Interface Null Lagrangians, Polyconvexity, and Existence
    M. Šilhavý
    Pages 233-244
  20. A Unified Variational Setting and Algorithmic Framework for Mono- and Polycrystalline Martensitic Phase Transformations
    Erwin Stein, Gautam Sagar
    Pages 245-259
  21. Dissipative Systems in Contact with a Heat Bath: Application to Andrade Creep
    Florian Theil, Tim Sullivan, Marisol Koslovski, Michael Ortiz
    Pages 261-272

About these proceedings

Introduction

The symposium focused on novel applications of methods from the calculus of variations to the solid mechanics of materials, including the development of new material models as well as the advancement of the corresponding computational techniques. Specific emphasis was put on the treatment of materials posessing an inherent microstructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topic treated in this volume are: Energy-based modeling of material microstructures; modeling of the evolution of material microstructures; micromechanical modeling of shape-memory alloys; variational multiscale methods and associated numerical procedures; and micromechanics of multifield and multiphysics problems.

Keywords

Calculus of Variations Convexity algorithm alloy calculus crystal development differential equation mechanics microstructure model modeling plasticity simulation transformation

Editors and affiliations

  • Klaus Hackl
    • 1
  1. 1.LS Allgemeine MechanikUniversität BochumBochumGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-90-481-9195-6
  • Copyright Information Springer Science+Business Media B.V. 2010
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-90-481-9194-9
  • Online ISBN 978-90-481-9195-6
  • Series Print ISSN 1875-3507
  • Series Online ISSN 1875-3493
  • Buy this book on publisher's site