There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.
Author(s): Michael Kleiber
Publisher: Wiley
Year: 1997
Language: English
Commentary: 30720
Pages: 411
Cover......Page 1
Contents......Page 5
1 Motivation Sensitivity andLarge-Scale Systems......Page 24
2 Nonlinear Solid Mechanics: Continuous and Semi-Discretized Formulation......Page 37
3 Concepts of Sensitivity Analysis for Linear Systems......Page 78
4 The Basic Concepts of Nonlinear Quasi-Static Problems at Regular States......Page 114
5 Inelastic Systems......Page 142
6 Shape Sensitivity......Page 207
7 Buckling and Post-Buckling......Page 233
8 Nonlinear Dynamics......Page 259
9 Metal Forming Using the Flow Approach......Page 277
10 Nonlinear Thermal Systems......Page 344
Appendix A - Some Mathematical Background......Page 382
Appendix B - Stress and Stress-Rate Measures......Page 396
References......Page 401
