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Constitutive Modelling of Solid Continua

  • Book
  • © 2020

Overview

Editors:
  1. José Merodio

    1. Department of Continuum Mechanics and Structures, Escuela de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, Madrid, Spain

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  2. Raymond Ogden

    1. School of Mathematics and Statistics, University of Glasgow, Glasgow, UK

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    You can also search for this editor in PubMed   Google Scholar

  • Collects state-of-the art chapters dealing with continuum mechanics constitutive descriptions for a wide range of solid material behaviour, including elasticity, viscoelasticity, plasticity, damage and coupled fields (thermo-, electro- and magneto-mechanics) and heterogeneity
  • Offers a unique collection by acknowledged experts
  • Provides a comprehensive theoretical framework for research in solid mechanics and its applications

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 262)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Basic Equations of Continuum Mechanics

    • José Merodio, Raymond Ogden
    Pages 1-16

  3. Finite Deformation Elasticity Theory

    • José Merodio, Raymond Ogden
    Pages 17-52

  4. Thermomechanics

    • Manuel Doblaré, Mohamed H. Doweidar
    Pages 53-79

  5. Viscoelastic Solids

    • Alan Wineman
    Pages 81-123

  6. A Primer on Plasticity

    • David J. Steigmann
    Pages 125-153

  7. Nonlinear Constitutive Modeling of Electroelastic Solids

    • Luis Dorfmann, Raymond Ogden
    Pages 155-186

  8. A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies

    • Roger Bustamante, Kumbakonam Rajagopal
    Pages 187-230

  9. Continuum Damage Mechanics—Modelling and Simulation

    • Andreas Menzel, Leon Sprave
    Pages 231-256

  10. Theories of Growth

    • Marcelo Epstein
    Pages 257-284

  11. Finite-Strain Homogenization Models for Anisotropic Dielectric Elastomer Composites

    • Morteza H. Siboni, P. Ponte Castañeda
    Pages 285-309

  12. Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives

    • Raimondo Penta, Laura Miller, Alfio Grillo, Ariel Ramírez-Torres, Pietro Mascheroni, Reinaldo Rodríguez-Ramos
    Pages 311-356

  13. Multiscale Homogenization for Linear Mechanics

    • Reinaldo Rodríguez-Ramos, Ariel Ramírez-Torres, Julián Bravo-Castillero, Raúl Guinovart-Díaz, David Guinovart-Sanjuán, Oscar L. Cruz-González et al.
    Pages 357-389
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Keywords

About this book

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Editors and Affiliations

  • Department of Continuum Mechanics and Structures, Escuela de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, Madrid, Spain

    José Merodio

  • School of Mathematics and Statistics, University of Glasgow, Glasgow, UK

    Raymond Ogden

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