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Non-linear Modeling and Analysis of Solids and Structures PDF

361 Pages·2009·2.493 MB·English
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by Steen Krenk| 2009| 361 pages| 2.493| English

About Non-linear Modeling and Analysis of Solids and Structures

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.

Detailed Information

Author:Steen Krenk
Publication Year:2009
ISBN:9780521830546
Pages:361
Language:English
File Size:2.493
Format:PDF
Price:FREE
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