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Advances in Mechanics of Microstructured Media and Structures

  • Book
  • © 2018

Overview

Editors:
  1. Francesco dell'Isola

    1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, Rome, Italy

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  2. Victor A. Eremeyev

    1. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

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  3. Alexey Porubov

    1. Department of Micromechanics of Materials, Institute of Problems in Mechanical Engineering, Saint Petersburg, Russia

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  • Is dedicated to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua
  • Includes contributions on micropolar, micromorphic, and strain gradient media
  • Features contributions on media with internal variables, metamaterials, beam lattices, and liquid crystals
  • Addresses wave propagation, stability problems, homogenization, and relations between discrete and continuous models

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 87)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Some Introductory and Historical Remarks on Mechanics of Microstructured Materials

    • Francesco dell’Isola, Victor A. Eremeyev
    Pages 1-20

  3. Exact Analytical Solutions for Nonautonomic Nonlinear Klein-Fock-Gordon Equation

    • Eron L. Aero, A. N. Bulygin, Yu. V. Pavlov
    Pages 21-33

  4. Percolation Threshold for Elastic Problems: Self-consistent Approach and Padé Approximants

    • Igor V. Andrianov, Galina A. Starushenko, Vladimir A. Gabrinets
    Pages 35-42

  5. A 1D Continuum Model for Beams with Pantographic Microstructure: Asymptotic Micro-Macro Identification and Numerical Results

    • Emilio Barchiesi, Francesco dell’Isola, Marco Laudato, Luca Placidi, Pierre Seppecher
    Pages 43-74

  6. Numerical Simulation of Energy Localization in Dynamic Materials

    • Mihhail Berezovski, Arkadi Berezovski
    Pages 75-83

  7. Fracture Prediction of Piezoelectric Ceramic by the 2-D Boundary Element Analysis

    • M. Biglar, T. Trzepieciński, F. Stachowicz
    Pages 85-102

  8. Rotational Waves in Microstructured Materials

    • Vladimir I. Erofeev, Igor S. Pavlov
    Pages 103-124

  9. Localized Magnetoelastic Waves in a One and Two Dimensional Medium

    • Vladimir I. Erofeev, Alexey O. Malkhanov
    Pages 125-141

  10. Waves in Elastic Reduced Cosserat Medium with Anisotropy in the Term Coupling Rotational and Translational Strains or in the Dynamic Term

    • Elena F. Grekova
    Pages 143-156

  11. Modeling Stress-Affected Chemical Reactions in Solids–A Rational Mechanics Approach

    • Polina Grigoreva, Elena N. Vilchevskaya, Wolfgang H. Müller
    Pages 157-183

  12. Structural Transformations of Material Under Dynamic Loading

    • D. A. Indeitsev, B. N. Semenov, D. Yu. Skubov, D. S. Vavilov
    Pages 185-195

  13. One-Dimensional Heat Conduction and Entropy Production

    • A. M. Krivtsov, A. A. Sokolov, W. H. Müller, A. B. Freidin
    Pages 197-213

  14. Model of Media with Conserved Dislocation. Special Cases: Cosserat Model, Aero-Kuvshinskii Media Model, Porous Media  Model

    • S. A. Lurie, P. A. Belov, L. N. Rabinskiy
    Pages 215-249

  15. Numerical Simulation of Circumsolar Ring Evolution

    • A. S. Murachev, D. V. Tsvetkov, E. M. Galimov, A. M. Krivtsov
    Pages 251-261

  16. Two-Dimensional Modeling of Diatomic Lattice

    • A. V. Porubov
    Pages 263-272

  17. Mechanics of Metamaterials: An Overview of Recent Developments

    • H. Reda, N. Karathanasopoulos, K. Elnady, J. F. Ganghoffer, H. Lakiss
    Pages 273-296

  18. Acoustic Approximation of the Governing Equations of Liquid Crystals Under Weak Thermomechanical and Electrostatic Perturbations

    • Vladimir Sadovskii, Oxana Sadovskaya
    Pages 297-341

  19. Effect of Surface Stresses on Stability of Elastic Circular Cylinder

    • Denis N. Sheydakov
    Pages 343-355

  20. Spherically Symmetric Deformations of Micropolar Elastic Medium with Distributed Dislocations and Disclinations

    • Anastasia A. Zelenina, Leonid M. Zubov
    Pages 357-369
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Keywords

About this book

This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.

Editors and Affiliations

  • Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, Rome, Italy

    Francesco dell'Isola

  • Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  • Department of Micromechanics of Materials, Institute of Problems in Mechanical Engineering, Saint Petersburg, Russia

    Alexey Porubov

Bibliographic Information

  • Book Title: Advances in Mechanics of Microstructured Media and Structures

  • Editors: Francesco dell'Isola, Victor A. Eremeyev, Alexey Porubov

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-73694-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

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

  • Hardcover ISBN: 978-3-319-73693-8Published: 12 March 2018

  • Softcover ISBN: 978-3-030-08838-5Published: 24 January 2019

  • eBook ISBN: 978-3-319-73694-5Published: 27 February 2018

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: VIII, 369

  • Number of Illustrations: 32 b/w illustrations, 78 illustrations in colour

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials

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