This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i. e. the principle of virtual work in elasticity) from a boundary value problem that represents the mechanical behaviour of solids and fluids. Finite element approximations are then derived from this weak form. The book contains many useful exercises and the author appropriately provides the student with computer programs in both BASIC and FORTRAN for solving them. Furthermore, a workbook is available with additional computer listings, and also an accompanying disc that contains the BASIC programs for use on IBM-PC microcomputers and their compatibles. Thus the usefulness and versatility of this text is enhanced by the student's ability to practise problem solving on accessible microcomputers.
Preface; 1. Review of background materials; 2. Finite element analysis of heat conduction problems; 3. Generalisation of the finite element methods for heat conduction problems; 4. Simple elastic structures and their free vibration problems; 5. Finite element approximations for problems in linear elasticity; 6. Plate-bending problems; Appendixes; Bibliography; List of notation; Index.
Finite element method, Engineering mathematics, Geometry