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Computational Methods in Solid Mechanics : Solid Mechanics and Its Applications, Vol 29 - Alain Curnier

Computational Methods in Solid Mechanics

Solid Mechanics and Its Applications, Vol 29

Hardcover Published: 31st May 1994
ISBN: 9780792327615
Number Of Pages: 404

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This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids: the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity. It places considerable emphasis on the spatial, temporal and nonlinear dimensions of problem solving, which leads to a neat global algorithm. Chapter 1 addresses the problem of a one-dimensional bar, with emphasis being given to the virtual work principle. Chapters 2-4 present the three numerical methods. Although the discussion relates to a one-dimensional model, the formalism used is extendable to two-dimensional situations. Chapter 5 is devoted to a detailed discussion of the compact combination of the three methods, and contains several sections concerning their computer implementation. Finally, Chapter 6 gives a generalization to two and three dimensions of both the mechanical and numerical aspects. This text is suitable for graduate students and researchers whose work involves the theory and application of computational solid mechanics.

Introductionp. 1
One-Dimensional Bar Model Problem (Principle of Virtual Work)p. 5
Spatial Discretisation by the Finite Element Methodp. 55
Solution of Non-Linearities by the Linear Iteration Methodp. 119
Time Integration by the Finite Difference Methodp. 183
Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methodsp. 231
Two- and Three-Dimensional Deformable Solidsp. 267
Conclusionp. 349
Bibliographyp. 350
Appendix A: List of Symbolsp. 351
Appendix B: Exercisesp. 361
Indexp. 393
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792327615
ISBN-10: 0792327616
Series: Solid Mechanics and Its Applications, Vol 29
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 404
Published: 31st May 1994
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 17.15  x 2.54
Weight (kg): 0.86