Generalized Models and Non-classical Approaches in Complex Materials 2

1. Front Matter

   Pages i-xiii

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2. Damping in Materials and Structures: An Overview

   • Yvon Chevalier

   Pages 1-27

3. The Principle of Virtual Power (PVP): Application to Complex Media, Extension to Gauge and Scale Invariances, and Fundamental Aspects

   • Laurent Hirsinger, Naoum Daher, Michel Devel, Gautier Lecoutre

   Pages 29-53

4. The Limitations and Successes of Concurrent Dynamic Multiscale Modeling Methods at the Mesoscale

   • Adrian Diaz, David McDowell, Youping Chen

   Pages 55-77

5. Modeling Semiconductor Crystal Growth Under Electromagnetic Fields

   • Sadik Dost

   Pages 79-100

6. Dispersion Properties of a Closed-Packed Lattice Consisting of Round Particles

   • Vladimir I. Erofeev, Igor S. Pavlov, Alexey V. Porubov, Alexey A. Vasiliev

   Pages 101-117

7. Emulating the Raman Physics in the Spatial Domain with the Help of the Zakharov’s Systems

   • Evgeny M. Gromov, Boris A. Malomed

   Pages 119-144

8. Generalized Differential Effective Medium Method for Simulating Effective Physical Properties of 2D Percolating Composites

   • Mikhail Markov, Valery Levin, Evgeny Pervago

   Pages 145-159

9. Nonlinear Acoustic Wedge Waves

   • Pavel D. Pupyrev, Alexey M. Lomonosov, Elena S. Sokolova, Alexander S. Kovalev, Andreas P. Mayer

   Pages 161-184

10. Analysis of Nonlinear Wave Propagation in Hyperelastic Network Materials

    • Hilal Reda, Khaled ElNady, Jean-François Ganghoffer, Nikolas Karathanasopoulos, Yosra Rahali, Hassan Lakiss

    Pages 185-200

11. Multiscale Modeling of 2D Material MoS2 from Molecular Dynamics to Continuum Mechanics

    • Kerlin P. Robert, Jiaoyan Li, James D. Lee

    Pages 201-219

12. Gradient Elasticity Effects on the Two-Phase Lithiation of LIB Anodes

    • Ioannis Tsagrakis, Elias C. Aifantis

    Pages 221-235

13. Generalized Continua Concepts in Coarse-Graining Atomistic Simulations

    • Shuozhi Xu, Ji Rigelesaiyin, Liming Xiong, Youping Chen, David L. McDowell

    Pages 237-260

14. Bending of a Cantilever Piezoelectric Semiconductor Fiber Under an End Force

    • Chunli Zhang, Xiaoyuan Wang, Weiqiu Chen, Jiashi Yang

    Pages 261-278

15. Contact Mechanics in the Framework of Couple Stress Elasticity

    • Thanasis Zisis, Panos A. Gourgiotis, Haralambos G. Georgiadis

    Pages 279-306

16. Radiation from Equivalent Body Forces for Scattering of Surface Waves by a Near-Surface Cylindrical Cavity

    • Chao Yang, Jan D. Achenbach

    Pages 307-328

17. Correction to: Generalized Models and Non-classical Approaches in Complex Materials 2

    • Holm Altenbach, Joël Pouget, Martine Rousseau, Bernard Collet, Thomas Michelitsch

    Pages E1-E1

This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range of subjects that were covered by this exceptional scientific leader.

The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

• Gérard MAUGIN
• Generalized Continua
• Non-classical continuum mechanics
• Complex materials
• continuum approaches
• lattice approaches
• Continuum Mechanics Through the Twentieth Century

   

• Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

  Holm Altenbach

• Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

  Joël Pouget, Martine Rousseau, Bernard Collet, Thomas Michelitsch

The authors of the book dedicated this book to Gérard A. Maugin, an exceptional French engineering scientist and philosopher. Maugin’s achievements in the fields of Physical Sciences and Engineering embrace relativistic continuum mechanics, micro magnetism, electrodynamics of continua, thermo mechanics, surface waves and nonlinear waves in continua, lattice dynamics, material equations and biomechanical applications.

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