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Generalized Continua as Models for Classical and Advanced Materials

  • Book
  • © 2016

Overview

Editors:
  1. Holm Altenbach

    1. Universität Magdeburg, Otto‐von‐Guericke, Magdeburg, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Samuel Forest

    1. Mines ParisTech, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  • Offers knowledge about the material behavior on different scales, new existence and uniqueness theorems, and the formulation of constitutive equations for advanced materials
  • Presents an actual topic of modelling materials which is the focus world-wide of various research groups
  • Includes chapters written by leading experts in continuum mechanics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 42)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xii
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  2. On Strain Rate Tensors and Constitutive Equations of Inelastic Micropolar Materials

    • Holm Altenbach, Victor A. Eremeyev
    Pages 1-13

  3. On the Modelling of Carbon Nano Tubes as Generalized Continua

    • Hossein Aminpour, Nicola Rizzi
    Pages 15-35

  4. Isogeometric Analysis of Gradient-Elastic 1D and 2D Problems

    • Viacheslav Balobanov, Sergei Khakalo, Jarkko Niiranen
    Pages 37-45

  5. A Fast Fourier Transform-Based Approach for Generalized Disclination Mechanics Within a Couple Stress Theory

    • Stéphane Berbenni, Vincent Taupin, Claude Fressengeas, Laurent Capolungo
    Pages 47-75

  6. Some Cases of Unrecognized Transmission of Scientific Knowledge: From Antiquity to Gabrio Piola’s Peridynamics and Generalized Continuum Theories

    • Francesco dell’Isola, Alessandro Della Corte, Raffaele Esposito, Lucio Russo
    Pages 77-128

  7. Computational Analysis of the Size Effects Displayed in Beams with Lattice Microstructures

    • Martin A. Dunn, Marcus A. Wheel
    Pages 129-143

  8. Inelastic Interaction and Splitting of Strain Solitons Propagating in a One-Dimensional Granular Medium with Internal Stress

    • Vladimir I. Erofeev, Vladimir V. Kazhaev, Igor S. Pavlov
    Pages 145-162

  9. The Eigenmodes in Isotropic Strain Gradient Elasticity

    • Rainer Glüge, Jan Kalisch, Albrecht Bertram
    Pages 163-178

  10. Limit Analysis of Lattices Based on the Asymptotic Homogenization Method and Prediction of Size Effects in Bone Plastic Collapse

    • Ibrahim Goda, Francisco Dos Reis, Jean-François Ganghoffer
    Pages 179-211

  11. An Improved Constitutive Model for Short Fibre Reinforced Cementitious Composites (SFRC) Based on the Orientation Tensor

    • Heiko Herrmann
    Pages 213-227

  12. Isogeometric Static Analysis of Gradient-Elastic Plane Strain/Stress Problems

    • Sergei Khakalo, Viacheslav Balobanov, Jarkko Niiranen
    Pages 229-235

  13. Applications of Higher-Order Continua to Size Effects in Bending: Theory and Recent Experimental Results

    • Christian Liebold, Wolfgang H. Müller
    Pages 237-260

  14. Classification of Gradient Adhesion Theories Across Length Scale

    • Sergey Lurie, Petr Belov, Holm Altenbach
    Pages 261-277

  15. Eigenvalue Problems of a Tensor and a Tensor-Block Matrix (TMB) of Any Even Rank with Some Applications in Mechanics

    • Mikhail U. Nikabadze
    Pages 279-317

  16. Analytical Solutions in the Theory of Thin Bodies

    • Mikhail U. Nikabadze, Armine R. Ulukhanyan
    Pages 319-361

  17. Method for Calculating the Characteristics of Elastic State Media with Internal Degrees of Freedom

    • Sergey N. Romashin, Victoria Yu. Presnetsova, Larisa Yu. Frolenkova, Vladimir S. Shorkin
    Pages 363-376

  18. Variational Theories of Two-Phase Continuum Poroelastic Mixtures: A Short Survey

    • Roberto Serpieri, Alessandro Della Corte, Francesco Travascio, Luciano Rosati
    Pages 377-394

  19. Buckling of Sandwich Tube with Foam Core Under Combined Loading

    • Denis N. Sheydakov, Nikolay E. Sheydakov
    Pages 395-412

  20. Frequency-Dependent Attenuation and Phase Velocity Dispersion of an Acoustic Wave Propagating in the Media with Damages

    • Anatoli Stulov, Vladimir I. Erofeev
    Pages 413-423
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Keywords

About this book

This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items 
- Modelling and simulation of natural and artificial materials with significant microstructure,
- Generalized continua as a result of multi-scale models, 
- Multi-field actions on materials resulting in generalized material models,
- Theories including higher gradients, and  
- Comparison with discrete modelling approaches 

Editors and Affiliations

  • Universität Magdeburg, Otto‐von‐Guericke, Magdeburg, Germany

    Holm Altenbach

  • Mines ParisTech, Paris, France

    Samuel Forest

Bibliographic Information

  • Book Title: Generalized Continua as Models for Classical and Advanced Materials

  • Editors: Holm Altenbach, Samuel Forest

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-31721-2

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-31719-9Published: 22 April 2016

  • Softcover ISBN: 978-3-319-81105-5Published: 09 September 2018

  • eBook ISBN: 978-3-319-31721-2Published: 15 April 2016

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XII, 457

  • Number of Illustrations: 56 b/w illustrations, 48 illustrations in colour

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials, Materials Engineering

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