Computational Methods in Nonlinear Struc
β Ahmed K. Noor, H.G. McComb
π Library
π
1981
π Elsevier Ltd, Pergamon Press
π English
β¦ LIBER β¦
π
Computational Methods in Solid Mechanics
β Scribed by Alain Curnier (auth.)
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Leaves
- 411
- Series
- Solid Mechanics and Its Applications 29
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. 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; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This 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.
For graduate students and researchers whose work involves the theory and application of computational solid mechanics.
β¦ Table of Contents
Front Matter....Pages i-xii
Introduction....Pages 1-4
One-Dimensional Bar Model Problem (Principle of Virtual Work)....Pages 5-54
Spatial Discretisation by the Finite Element Method....Pages 55-118
Solution of Non-Linearities by the Linear Iteration Method....Pages 119-181
Time Integration by the Finite Difference Method....Pages 183-230
Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods....Pages 231-265
Two- and Three-Dimensional Deformable Solids....Pages 267-348
Conclusion....Pages 349-349
Back Matter....Pages 350-404
β¦ Subjects
Appl.Mathematics/Computational Methods of Engineering;Mechanics;Applications of Mathematics
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