Generalized Continua as Models for Materials

with Multi-scale Effects or Under Multi-field Actions

  • Holm Altenbach
  • Samuel Forest
  • Anton Krivtsov

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 22)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Holm Altenbach, Victor A. Eremeyev
    Pages 1-15
  3. Nicolas Auffray
    Pages 17-40
  4. Stéphane Berbenni, Bhasker Paliwal, Mohammed Cherkaoui
    Pages 41-64
  5. Vladimir I. Erofeev, Vladimir V. Kazhaev, Igor S. Pavlov
    Pages 91-110
  6. Stefan Hartmann, Steffen Rothe, Nachum Frage
    Pages 143-161
  7. Bernd Lenhof, Alexander Geringer, Stefan Diebels
    Pages 237-254
  8. Thomas M. Michelitsch, Gérard A. Maugin
    Pages 273-282
  9. Alexey V. Porubov, Eron L. Aero, Boris R. Andrievsky
    Pages 283-290
  10. V. Taupin, L. Capolungo, C. Fressengeas, A. Das, M. Upadhyay
    Pages 303-320
  11. Pavel A. Zhilin, Holm Altenbach, Elena A. Ivanova, Anton Krivtsov
    Pages 321-331

About this book


This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications.
The main focus is directed on the following items
- Modelling and simulation of materials with significant microstructure,
- Generalized continua as a result of multi-scale models,
- Multi-field actions on materials resulting in generalized material models, and
- Comparison with discrete modelling approaches


Complex Microstructure Coordinate-free Derivation Cosserat Continuum Generalized Continua Grain Boundary Modeling Multi-field Actions Multi-scale Effects

Editors and affiliations

  • Holm Altenbach
    • 1
  • Samuel Forest
    • 2
  • Anton Krivtsov
    • 3
  1. 1., Lehrstuhl für Technische MechanikOtto-von-Guericke-Universität MagdeburgMagdeburgGermany
  2. 2., Centre des Materiaux CNRS UMR 7633Mines ParisTechEVRY CedexFrance
  3. 3.University, Dep. of Theoretical MechanicsSt. Petersburg State PolytechnicalSt. PetersburgRussia

Bibliographic information

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