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Generalized Models and Non-classical Approaches in Complex Materials 1

  • Book
  • © 2018

Overview

Editors:
  1. Holm Altenbach

    1. Institut für Mechanik, Otto-von-Guericke-Universität, Magdeburg, Germany

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  2. Joël Pouget

    1. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

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  3. Martine Rousseau

    1. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

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  4. Bernard Collet

    1. Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, Paris Cedex 05, France

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  5. Thomas Michelitsch

    1. Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, Paris, France

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  • Reflects Gérard Maugin’s vast field of scientific activity
  • Features new models and applications of well-known models to new problems
  • Includes micro–macro aspects, computational endeavors, and options for identifying constitutive equations

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 89)

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About this book

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate 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 endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

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Table of contents (40 chapters)

  1. Front Matter

    Pages i-xlii
    Download chapter PDF

  2. Effective Coefficients and Local Fields of Periodic Fibrous Piezocomposites with 622 Hexagonal Constituents

    • Ransés Alfonso-Rodríguez, Julián Bravo-Castillero, Raúl Guinovart-Díaz, Reinaldo Rodríguez-Ramos, Renald Brenner, Leslie D. Pérez-Fernández et al.
    Pages 1-26

  3. High-Frequency Spectra of SH GuidedWaves in Continuously Layered Plates

    • Vladimir I. Alshits, Jerzy P. Nowacki
    Pages 27-52

  4. Nonlinear Schrödinger and Gross - Pitaevskii Equations in the Bohmian or Quantum Fluid Dynamics (QFD) Representation

    • Attila Askar
    Pages 53-60

  5. The Stability of the Plates with Circular Inclusions under Tension

    • Svetlana M. Bauer, Stanislava V. Kashtanova, Nikita F. Morozov, Boris N. Semenov
    Pages 61-68

  6. Unit Cell Models of Viscoelastic Fibrous Composites for Numerical Computation of Effective Properties

    • Harald Berger, Mathias Würkner, José A. Otero, Raúl Guinovart-Díaz, Julián Bravo-Castillero, Reinaldo Rodríguez-Ramos
    Pages 69-82

  7. Inner Resonance in Media Governed by Hyperbolic and Parabolic Dynamic Equations. Principle and Examples

    • Claude Boutin, Jean-Louis Auriault, Guy Bonnet
    Pages 83-134

  8. The Balance of Material Momentum Applied to Water Waves

    • Manfred Braun
    Pages 135-154

  9. Electromagnetic Fields in Meta-Media with Interfacial Surface Admittance

    • David C. Christie, Robin W. Tucker
    Pages 155-178

  10. Evolution Equations for Defects in Finite Elasto-Plasticity

    • Sanda Cleja-Ţigoiu
    Pages 179-202

  11. Viscoelastic effective properties for composites with rectangular cross-section fibers using the asymptotic homogenization method

    • Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, José A. Otero, Julián Bravo-Castillero, Raúl Guinovart-Díaz, Raúl Martínez-Rosado et al.
    Pages 203-222

  12. A Single Crystal Beam Bent in Double Slip

    • Xiangyu Cui, Khanh Chau Le
    Pages 223-246

  13. Acoustic Metamaterials Based on Local Resonances: Homogenization, Optimization and Applications

    • Fabio di Cosmo, Marco Laudato, Mario Spagnuolo
    Pages 247-274

  14. On Nonlinear Waves in Media with Complex Properties

    • Jüri Engelbrecht, Andrus Salupere, Arkadi Berezovski, Tanel Peets, Kert Tamm
    Pages 275-286

  15. The Dual Approach to Smooth Defects

    • Marcelo Epstein
    Pages 287-300

  16. A Note on Reduced Strain Gradient Elasticity

    • Victor A. Eremeyev, Francesco dell’Isola
    Pages 301-310

  17. Use and Abuse of the Method of Virtual Power in Generalized Continuum Mechanics and Thermodynamics

    • Samuel Forest
    Pages 311-334

  18. Forbidden Strains and Stresses in Mechanochemistry of Chemical Reaction Fronts

    • Alexander B. Freidin, Leah L. Sharipova
    Pages 335-348

  19. Generalized Debye Series Theory for Acoustic Scattering: Some Applications

    • Alain Gérard
    Pages 349-374

  20. Simplest Linear Homogeneous Reduced Gyrocontinuum as an Acoustic Metamaterial

    • Elena F. Grekova
    Pages 375-386
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Editors and Affiliations

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

    Holm Altenbach

  • Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Joël Pouget, Martine Rousseau

  • Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, Paris Cedex 05, France

    Bernard Collet

  • Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, Paris, France

    Thomas Michelitsch

About the editors

The authors have 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, micromagnetism, electrodynamics of continua, thermomechanics, surface waves and nonlinear waves in continua, lattice dynamics, material equations and biomechanical applications.

Bibliographic Information

  • Book Title: Generalized Models and Non-classical Approaches in Complex Materials 1

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

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-72440-9

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-72439-3Published: 04 April 2018

  • Softcover ISBN: 978-3-030-10201-2Published: 15 February 2019

  • eBook ISBN: 978-3-319-72440-9Published: 24 March 2018

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XLII, 760

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials

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