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Non-linear Modeling and Analysis of Solids and Structures
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Non-linear Modeling and Analysis of Solids and Structures

Non-linear Modeling and Analysis of Solids and Structures

Steen Krenk

360 pages

Résumé

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.

L'auteur - Steen Krenk

Steen Krenk received his M.Sc. and Ph.D. from the Technical University of Denmark and later the degree of Dr.Tech. from the same institution after studies at Lehigh University. He is professor of Structural Mechanics at the Technical University of Denmark. He has held similar positions at Aalborg University in Denmark and Lund University in Sweden, and visiting appointments at Lehigh University, University of Virginia, University of Waterloo and University of Notre Dame. His research areas include mechanics of structures and materials, computational mechanics and stochastic models for structural loads and safety. In recent years the main area of research has been structural dynamics with special emphasis on time integration techniques, and damping and resonant control of structural vibrations. Several of his research results have found direct application in acoustics, seismology, vibration damping of cables and pedestrian bridges, and in analysis techniques for offshore structures and wind turbines.

Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Steen Krenk
Nb. de pages 360
Format 24 x 17
Couverture Broché
Poids 780g
Intérieur Noir et Blanc
EAN13 9780521830546

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