Computational Methods in Solid Mechanics

Computational Methods in Solid Mechanics Synopsis

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.

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