Wriggers Computational Contact Mechanics

2. Auflage 2006
ISBN: 978-3-540-32609-0
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 518 Seiten

Contact mechanics has its application in many engineering problems. No one can walk without frictional contact, and no car would move for the same r- son. Hence contact mechanics has, from an engineering point of view, a long history, beginning in ancient Egypt with the movement of large stone blocks, over ?rst experimental contributions from leading scientists like Leonardo da Vinci andCoulomb, to today’s computational methods. In the past c- tact conditions were often modelled in engineering analysis by more simple boundary conditions since analytical solutions were not present for real world applications. In such cases, one investigated contact as a local problem using the stress and strain ?elds stemming from the analysis which was performed for the entire structure. With the rapidly increasing power of moderncomp- ers, more and more numerical simulations in engineering can include contact constraints directly, which make the problems nonlinear. This book is an account of the modern theory of nonlinear continuum mechanics and its application to contact problems, as well as of modern s- ulation techniques for contact problems using the ?nite element method. The latter includes a variety of discretization techniques for small and large def- mation contact. Algorithms play another prominent role whenrobustand- cient techniques have to be designed for contact simulations. Finally, adaptive methods based on error controlled ?nite element analysis and mesh adaption techniques are of great interest for the reliable numerical solution of contact problems.

Autoren/Hrsg.

Wriggers, Peter

Inhaltsverzeichnis

1;Preface;5
2;Contents;7
3;1 Introduction;13
4;2 Introduction to Contact Mechanics;23
5;3 Continuum Solid Mechanics and Weak Forms;42
6;4 Contact Kinematics;68
7;5 Constitutive Equations for Contact Interfaces;79
8;6 Contact Boundary Value Problem and Weak Form;119
9;7 Discretization of the Continuum;167
10;8 Discretization, Small Deformation Contact;193
11;9 Discretization, Large Deformation Contact;235
12;10 Solution Algorithms;318
13;11 Thermo-mechanical Contact;374
14;12 Beam Contact;399
15;13 Computation of Critical Points with Contact Constraints;418
16;14 Adaptive Finite Element Methods for Contact Problems;429
17;A Gauss integration rules;478
18;B Convective Coordinates;482
19;C Parameter Identification for Friction Materials;487
20;References;490
21;Index;516