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Sixty Shades of Generalized Continua

Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev

  • Book
  • © 2023

Overview

Editors:
  1. Holm Altenbach

    1. Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke University Magdeburg, Magdeburg, Germany

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  2. Arkadi Berezovski

    1. Tallinn University of Technology, Tallinn, Estonia

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  3. Francesco dell'Isola

    1. Università degli Studi dell’Aquila, L'Aquila, Italy

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  4. Alexey Porubov

    1. Institute of Problems of Mechanical Engineering, Saint Petersburg, Russia

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  • Discusses modern aspects of generalized continua
  • Develops new approaches to model modern materials and new effects caused
  • Is dedicated to 60th birthday of Prof. V. Eremeyev

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 170)

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Table of contents (46 chapters)

  1. Front Matter

    Pages i-xxxiv
    Download chapter PDF

  2. Effects of 3-D Printing Infill Density Parameter on the Mechanical Properties of PLA Polymer

    • Reza Afshar, Simon Jeanne, Bilen Emek Abali
    Pages 1-12

  3. Advance Approximate Analytical Solutions of the Contact Problem for an Inhomogeneous Layer

    • Sergei M. Aizikovich, Polina A. Lapina, Sergei S. Volkov
    Pages 13-20

  4. The Direct Approach for Plates Considering Hygrothermal Loading and Residual Kinetics

    • Marcus Aßmus, Zia Javanbakht, Holm Altenbach
    Pages 21-32

  5. A Technique for Determining True Deformation Diagrams Under Dynamic Tension Using DIC

    • Artem V. Basalin, Anatoly M. Bragov, Aleksandr Yu. Konstantinov, Andrey R. Filippov
    Pages 33-52

  6. Strain Gradient Elasticity and Dual Internal Variables

    • Arkadi Berezovski
    Pages 53-62

  7. On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter Shells

    • Mircea Bîrsan, Patrizio Neff
    Pages 63-90

  8. Solving the Equations of Nonlinear Model of Crystalline Media with Complex Lattice and Some Structures of Plane Deformation

    • Anatolii N. Bulygin, Yuri V. Pavlov
    Pages 91-102

  9. Modal Analysis of a Second-Gradient Annular Plate made of an Orthogonal Network of Logarithmic Spiral Fibers

    • Alessandro Ciallella, Francesco D’Annibale, Francesco dell’Isola, Dionisio Del Vescovo, Ivan Giorgio
    Pages 103-116

  10. Non-Linear Simplest Reduced Kelvin’s Medium in the Vicinity of the Spherical Stress State: Waves and Instabilities

    • Mikhail A. Drepin, Elena F. Grekova
    Pages 117-140

  11. On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure

    • Dmitrii S. Dudin, Ilya E. Keller
    Pages 141-158

  12. Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity

    • Sinan Eraslan, Inna M. Gitman, Mingxiu Xu, Harm Askes, René de Borst
    Pages 159-170

  13. Rayleigh Waves in the Cosserat Half-Space (Reduced Model) and Half-Space of Damaged Material

    • Vladimir Erofeev, Artem Antonov, Anna Leonteva, Alexey Malkhanov
    Pages 171-190

  14. Validation of a Hemi-Variational Block-Based Approach to the Modelling of Common In-plane Failures in Masonry Structures

    • José Manuel Torres Espino, Jaime Heman Espinoza Sandoval, Chuong Anthony Tran, Roberto Fedele, Emilio Turco, Francesco dell’Isola et al.
    Pages 191-210

  15. Size Effects in Cosserat Crystal Plasticity

    • Samuel Forest, Flavien Ghiglione
    Pages 211-234

  16. On the Influence of POIsson’s Ratio on Phase Transformations Limiting Surfaces

    • Alexander B. Freidin, Leah L. Sharipova
    Pages 235-256

  17. Application of Nonlocal FICK’s Law Within Micropolar Approach

    • Ksenia Frolova, Nikolay Bessonov, Elena Vilchevskaya
    Pages 257-272

  18. Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics

    • Ivan Giorgio, Anil Misra, Luca Placidi
    Pages 273-292

  19. Study of the Dynamic Properties of Reinforced Concrete Under High-Speed Compression

    • Mikhail E. Gonov, Vladimir V. Balandin, Anatoly M. Bragov, Aleksandr Yu. Konstantinov
    Pages 293-304

  20. Multistability of Convective Flows in a Porous Enclosure

    • Vasily Govorukhin, Mezhlum Sumbatyan, Vyacheslav Tsybulin
    Pages 305-320
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Keywords

About this book

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.


Editors and Affiliations

  • Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  • Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

  • Università degli Studi dell’Aquila, L'Aquila, Italy

    Francesco dell'Isola

  • Institute of Problems of Mechanical Engineering, Saint Petersburg, Russia

    Alexey Porubov

Bibliographic Information

  • Book Title: Sixty Shades of Generalized Continua

  • Book Subtitle: Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev

  • Editors: Holm Altenbach, Arkadi Berezovski, Francesco dell'Isola, Alexey Porubov

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-031-26186-2

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-26185-5Published: 14 February 2023

  • Softcover ISBN: 978-3-031-26188-6Published: 15 February 2024

  • eBook ISBN: 978-3-031-26186-2Published: 13 February 2023

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XXXIV, 745

  • Number of Illustrations: 69 b/w illustrations, 179 illustrations in colour

  • Topics: Classical and Continuum Physics, Solid Mechanics, Computational Science and Engineering

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