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Mechanics of Generalized Continua

  • Book
  • © 2011

Overview

Editors:
  1. Holm Altenbach

    1. Halle-Wittenberg, Zentrum für Ingenieurwissenschaften, Martin-Luther-Universität, Halle (Saale), Germany

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  2. Gérard A. Maugin

    1. , Institut Jean Le Rond d’Alembert, UPMC (Paris), Paris Cedex 05, France

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  3. Vladimir Erofeev

    1. IMASH RAN, Nizhny Novgorod, Russian Federation

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  • Discusses new research directions from the point of view of modelling and simulation, experimental identification, and numerical methods
  • Includes many Engineering Applications
  • Presents essential research from leading scientists from France, the Russian Federation, and Germany
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 7)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xix
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  2. Historical Background and Future Trends

    1. Front Matter

      Pages 1-1
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    2. A Historical Perspective of Generalized Continuum Mechanics

      • Gérard A. Maugin
      Pages 3-19

  3. Historical Background and Future Trends

    1. Front Matter

      Pages 21-21
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    2. Micropolar Shells as Two-dimensional Generalized Continua Models

      • Holm Altenbach, Victor A. Eremeyev, Leonid P. Lebedev
      Pages 23-55

    3. Structural Dynamics and Generalized Continua

      • Céline Chesnais, Claude Boutin, Stéphane Hans
      Pages 57-76

    4. A Bending-gradient Theory for Thick Laminated Plates Homogenization

      • Arthur Lebée, Karam Sab
      Pages 77-95

  4. Advanced Constitutive Models

    1. Front Matter

      Pages 97-97
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    2. Internal Length Scale Effects on the Local and Overall Behavior of Polycrystals

      • Stéphane Berbenni
      Pages 99-136

    3. Formulations of Strain Gradient Plasticity

      • Samuel Forest, Albrecht Bertram
      Pages 137-149

    4. On one Model of Generalized Continuum and its Thermodynamical Interpretation

      • Elena A. Ivanova
      Pages 151-174

    5. Micromechanical Bases of Superelastic Behavior of Certain Biopolymers

      • Rasa Kazakevičiūtė-Makovska, Holger Steeb
      Pages 175-192

    6. Construction of Micropolar Continua from the Homogenization of Repetitive Planar Lattices

      • Francisco Dos Reis, Jean-François Ganghoffer
      Pages 193-217

  5. Dynamics and Stability

    1. Front Matter

      Pages 219-219
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    2. Nonlinear Waves in the Cosserat Continuum with Constrained Rotation

      • Vladimir I. Erofeev, Aleksandr I. Zemlyanukhin, Vladimir M. Catson, Sergey F. Sheshenin
      Pages 221-230

    3. Wave Propagation in Quasi-continuous Linear Chains with Self-similar Harmonic Interactions: Towards a Fractal Mechanics

      • Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A. Nicolleau, Andrzej F. Nowakowski, Shahram Derogar
      Pages 231-244

    4. Nonlinear Dynamic Processes in Media with Internal Structure

      • Alexey V. Porubov, Boris R. Andrievsky, Eron L. Aero
      Pages 245-254

    5. Buckling of Elastic Composite Rods made of Micropolar Material Subjected to Combined Loads

      • Denis Sheydakov
      Pages 255-271

  6. Geometry and Defects

    1. Front Matter

      Pages 273-273
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    2. Theory of Isolated and Continuously Distributed Disclinations and Dislocations in Micropolar Media

      • Mikhail I. Karyakin, Leonid M. Zubov
      Pages 275-290
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Keywords

About this book

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Editors and Affiliations

  • Halle-Wittenberg, Zentrum für Ingenieurwissenschaften, Martin-Luther-Universität, Halle (Saale), Germany

    Holm Altenbach

  • , Institut Jean Le Rond d’Alembert, UPMC (Paris), Paris Cedex 05, France

    Gérard A. Maugin

  • IMASH RAN, Nizhny Novgorod, Russian Federation

    Vladimir Erofeev

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