The rough contents of this impressive book are as follows: 1 Introduction; 2 The finite element method; 3 Heat transfer and other field problems in one dimension; 4 Nonlinear bending of straight beams; 5 Heat transfer and other field problems in two dimension; 6 Nonlinear bending of elastic plates; 7 Flows of viscous incompressible fluids; 8 Nonlinear analysis of time-dependent problems; 9 Finite element formulation of solid continua; 10 Material nonlinearities and coupled problems; Appendix 1: Solution procedures for linear algebraic equations; Appendix 2: Solution procedures for nonlinear algebraic equations, and a subject index.
At the end of each and every chapter there exists a section of unsolved problems and references. Most of the issues from references are contributions of the author. The book is concerned with the theory and computer implementation of the finite element method with application to problems as diverse as simple nonlinear problems of heat transfer and similar field problems, fluid mechanics and solid mechanics. Both, geometric and material nonlinearities are taken into account and static and time-dependent responses are considered. The massive material managed is well organized in precise and clear statements.
However, the theory of finte elements reduces to some quite elementary algebra. No proofs for theoretical results (existence, uniqueness, convergence, numerical stability, etc.) are provided. Computer implementation is performed by making use of general flow charts (for preprocessor, processor and postprocessor) and by corresponding Fortran subroutines. The numerical results are displayed in a fairly large variety of figures, tables and diagrams. They are discussed in the context of other numerical and analytical results.