Computational elasticity

Alpha Science International

2005

xix, 509 p.

9781842652015

Contents: Introduction; Displacement field and the strain field; Stress field; Constitutive relations; Cartesian tensors and equations of elasticity; Two-dimensional problems of elasticity; Torsion of prismatic bars; Energy theorems and variational principles of elasticity; Introduction to computational elasticity; Finite element method in a nutshell; Isoparametric formulation; Advanced topics in finite element analysis; Boundary element analysis of elastostatic problems; Boundary elements, interpolation functions and singular integrals; Computer codes for two-dimensional boundary element analysis; Coupling finite element and boundary element methods.

The book deals with the theory of elasticity and computational solution of its problems. It has two parts. Part A named Theoretical Elasticity describes the mathematical theory and the analytical techniques of problem solving. Part B entitled Computational Elasticity, is devoted to the description of two of the most popular computational methods the finite element and the boundary element methods.

Английский