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  • © 2016

Generalized Continua as Models for Classical and Advanced Materials

  • 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
  2. On the Modelling of Carbon Nano Tubes as Generalized Continua

    • Hossein Aminpour, Nicola Rizzi
    Pages 15-35
  3. Isogeometric Analysis of Gradient-Elastic 1D and 2D Problems

    • Viacheslav Balobanov, Sergei Khakalo, Jarkko Niiranen
    Pages 37-45
  4. 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
  5. The Eigenmodes in Isotropic Strain Gradient Elasticity

    • Rainer Glüge, Jan Kalisch, Albrecht Bertram
    Pages 163-178
  6. Isogeometric Static Analysis of Gradient-Elastic Plane Strain/Stress Problems

    • Sergei Khakalo, Viacheslav Balobanov, Jarkko Niiranen
    Pages 229-235
  7. Classification of Gradient Adhesion Theories Across Length Scale

    • Sergey Lurie, Petr Belov, Holm Altenbach
    Pages 261-277
  8. Analytical Solutions in the Theory of Thin Bodies

    • Mikhail U. Nikabadze, Armine R. Ulukhanyan
    Pages 319-361
  9. 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
  10. Variational Theories of Two-Phase Continuum Poroelastic Mixtures: A Short Survey

    • Roberto Serpieri, Alessandro Della Corte, Francesco Travascio, Luciano Rosati
    Pages 377-394
  11. Buckling of Sandwich Tube with Foam Core Under Combined Loading

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

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

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access