Fung Y.C., Tong P. Classical and Computational Solid Mechanics

World Scientific, 2001. — 952 p. — (Advanced Series in Engineering Science, vol.1). — ISBN: 981-02-3912-2. OCRThis invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.
The objective of this book is to offer students of science and engineering a concise, general, and easy-to-understand account of some of the most important concepts and methods of classical and computational solid mechanics. The classical part is mainly a re-issue of Fung's Foundations of Solid Mechanics, with a major addition to the modern theories of plasticity, and a major revision of the theory of large elastic deformation with finite strains. The computational part consists of five new chapters, which focus on numerical methods to solve many major linear and nonlinear boundary-value problems of solid mechanics.Tensor Analysis
Stress Tensor
Analysis of Strain
Conservation Laws
Elastic and Plastic Behavior of Materials
Linearized Theory of Elasticity
Solutions of Problems in Linearized Theory of Elasticity by Potentials
Two-Dimensional Problems in Linearized Theory of Elasticity
Variational Calculus, Energy Theorems, Saint-Venant's Principle
Hamilton's Principle, Wave Propagation, Applications of Generalized Coordinates
Elasticity and Thermodynamics
Irreversible Thermodynamics and Viscoelasticity
Thermoelasticity
Viscoelasticity
Large Deformation
Incremental Approach to Solving Some Nonlinear Problems
Finite Element Methods
Mixed and Hybrid Formulations
Finite Element Methods for Plates and Shells
Finite Element Modeling of Nonlinear Elasticity, Viscoelasticity, Plasticity, Viscoplasticity and CreepAuthor Index
Subject Index