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

2nd Edition. — New Jersey, USA: World Scientific, 2017. — 639 p. — (Advanced Series in Engineering Science 02). — ISBN: 9814713643.The second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.
This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the 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.
Readership: Researchers, academics, graduate and senior undergraduates in biomedical engineering, mechanical engineering, aeronautical and aerospace engineering, civil engineering and applied mechanics.Tensor analysis
Stress tensor
Analysis of strain
Conservation laws
Elastic and plastic behavior of materials
Linearized theory of elasticity
Solution 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
Thermodynamics and thermoelasticity
Large deformation
Viscoelasticity and thermoviscoelasticity
Thermodynamics with internal state variables and thermo-elasto-viscoplasticity
Electro-thermo-viscoelasticity/viscoplasticity
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 creep
Meshless local petrov–galerkin and eshelby–atluri methods