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Generalized Models and Non-classical Approaches in Complex Materials 1

  • 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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  • ISBN: 978-3-319-72440-9
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Softcover Book USD 199.99
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Table of contents (40 chapters)

  1. Front Matter

    Pages i-xlii
  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. 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
  5. 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
  6. Electromagnetic Fields in Meta-Media with Interfacial Surface Admittance

    • David C. Christie, Robin W. Tucker
    Pages 155-178
  7. 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
  8. A Single Crystal Beam Bent in Double Slip

    • Xiangyu Cui, Khanh Chau Le
    Pages 223-246
  9. On Nonlinear Waves in Media with Complex Properties

    • Jüri Engelbrecht, Andrus Salupere, Arkadi Berezovski, Tanel Peets, Kert Tamm
    Pages 275-286
  10. The Dual Approach to Smooth Defects

    • Marcelo Epstein
    Pages 287-300
  11. A Note on Reduced Strain Gradient Elasticity

    • Victor A. Eremeyev, Francesco dell’Isola
    Pages 301-310
  12. Forbidden Strains and Stresses in Mechanochemistry of Chemical Reaction Fronts

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

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.

Keywords

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

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: 978-3-319-72439-3

  • Softcover ISBN: 978-3-030-10201-2

  • eBook ISBN: 978-3-319-72440-9

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XLII, 760

  • Topics: Solid Mechanics, Characterization and Analytical Technique

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-72440-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 199.99
Price excludes VAT (USA)
Hardcover Book USD 279.99
Price excludes VAT (USA)