Contacts are common and important phenomena in engineering. The resolution of contact-impact problems, once computationally difficult, has been made easier and more accurate with the finite element method. This book deals with finite element procedures for solutions to both static and dynamic contact-impact problems. It provides comprehensive discussions on the formulation, linearization and discretization of these problems. Lagrangian formulation is introduced and explicit and implicit solutions are presented. Friction phenomena and the behaviour of shell structures upon impact are described. Numerical algorithms are implemented in computer programs to simulate industrial applications such as metal-forming processes and crashworthiness analysis of automobiles. This book should be of value to engineers, researchers and students in solid and applied mechanics interested in contact-impact problems.
Contacts are common and important phenomena in engineering. The resolution of contact-impact problems, once computationally difficult, has been made easier and more accurate with the finite element method. This book deals with finite element procedures for solutions to both static and dynamic contact-impact problems. It provides comprehensive discussions on the formulation, linearization and discretization of these problems. Lagrangian formulation is introduced and explicit and implicit solutions are presented. Friction phenomena and the behaviour of shell structures upon impact are described. Numerical algorithms are implemented in computer programs to simulate industrial applications such as metal-forming processes and crashworthiness analysis of automobiles. This book should be of value to engineers, researchers and students in solid and applied mechanics interested in contact-impact problems.
Introduction
1: The contact-impact problem and its general formulation
2: Numerical solution procedures
3: Constraint methods applied in contact problems with small
displacement
4: Contact-impact problems with material non-linearities
5: Frictional contact-impact problems
6: Contact-impact problems with large displacements and large
rotations
7: Contact-impact problems with shell and beam structures
8: Explicit solution procedures with the Lagrance multiplier
9: Contact-searching algorithms
10: Engineering applications
11: Miscellaneous topics
Appendix: Possible errors in the calculation of contact tractions
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