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Non-linear Modeling and Analysis of Solids and Structures [Hardcover]

Steen Krenk
4.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

August 31, 2009 0521830540 978-0521830546
This book presents a theoretical treatment of nonlinear behavior 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 summarizes recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.

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Non-linear Modeling and Analysis of Solids and Structures + Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics + Nonlinear Finite Element Analysis of Solids and Structures
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Editorial Reviews

Book Description

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. This self-contained and rigorous account of the basic methods contains exercises, examples and algorithms throughout.

About the Author

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

Product Details

  • Hardcover: 360 pages
  • Publisher: Cambridge University Press (August 31, 2009)
  • Language: English
  • ISBN-10: 0521830540
  • ISBN-13: 978-0521830546
  • Product Dimensions: 9.8 x 7.1 x 0.8 inches
  • Shipping Weight: 1.7 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,125,071 in Books (See Top 100 in Books)

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4.0 out of 5 stars Decent book on nonlinear FEM analysis of structures August 4, 2010
Format:Hardcover|Verified Purchase
This is a good follow-on book to Krenk's book on beams, columns & cables. The total and updated Lagrangian formulations are covered. Topics include bars, beam-columns, and solids. Requires a great deal of continuum mechanics knowledge to understand. Would be good for a graduate course in nonlinear FEM analysis of structures.
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