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Non-linear Modeling and Analysis of Solids and Structures


  • Author: Steen Krenk, Technical University of Denmark, Lyngby
  • Date Published: August 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521830546

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About the Authors
  • This book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.

    • A theoretical treatment of nonlinear behaviour of solids and structure
    • Starts out from elementary concepts to give a clear account of the basic methods
    • Includes exercises, examples and algorithms throughout
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    Product details

    • Date Published: August 2009
    • format: Hardback
    • isbn: 9780521830546
    • length: 360 pages
    • dimensions: 254 x 180 x 23 mm
    • weight: 0.78kg
    • contains: 3 b/w illus. 5 tables 70 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Non-linear bar elements
    3. Finite rotations
    4. Finite rotation beam theory
    5. Co-rotating beam elements
    6. Deformation and equilibrium of solids
    7. Elasto-plastic solids
    8. Numerical solution techniques
    9. Dynamic effects and time integration

  • Instructors have used or reviewed this title for the following courses

    • Nonlinear finite element analysis
    • Solid Mechanics
    • Topics in Math
  • Author

    Steen Krenk, Technical University of Denmark, Lyngby
    Steen Krenk is Professor of Structural Mechanics at the Technical University of Denmark, Lyngby.

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