An introduction to nonlinear finite element analysis

Included Index.

1. Introduction --
2. finite element method : a review --
3. Heat transfer and other field problems in one dimension --
4. Nonlinear bending of straight beams --
5. Heat transfer and other fields problems in two dimensions --
6. Nonlinear bending of elastic plates --
7. Flows of viscous incompressible fluids --
8. Nonlinear analysis of time-dependent problems --
9. Finite element formulations of solid continua --
10. Material nonlinearities and coupled problems --
App. A1. Solution procedures for linear algebraic equations --
App. A2. Solution procedures for nonlinear algebraic equations.

"This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics - flows of incompressible fluids - and solid mechanics - elasticity, beams, plates and shells. Both geometric as well as material nonlinearities are considered, and static and transient (i.e. time dependent) responses are studied. Detailed theoretical formulations and computer implementation steps, as well as numerical examples for the user to verify and validate self-created computer programs, give the reader a clear understanding of the concepts of nonlinear finite element analyses and allow greater confidence in the formulation and computer implementation of nonlinear equations across many fields of science and engineering. At the same time, the book serves as a prelude to more advanced books on the subject. It will be a useful textbook for graduate students of engineering - in particular, aerospace, civil and mechanical - and applied mathematics, but also a good reference for engineers and scientists working in industry, especially those in the aerospace and automobile industries."--Jacket.