Mechanics of Generalized Continua

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

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.

• asymmetric elasticity
• constitutive equations
• metamaterials
• micro-macro interactions

• 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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