| Description |
1 online resource (300 pages) : illustrations (black and white, and color) |
| Series |
Advances in continuum mechanics |
|
Advances in mechanics and mathematics ; volume 48 |
|
Advances in continuum mechanics
|
|
Advances in mechanics and mathematics ; v. 48.
|
| Contents |
Part. I. Basic concepts -- Chapter. 1. Introduction -- Chapter. 2. Sobolev spaces -- Chapter. 3. Signorinis problem -- Chapter. 4. Lagrange finite elements and interpolation -- Part. II. Numerical approximation for Signorini -- Chapter. 5. Finite elements for Signorini -- Chapter. 6. Nitsches method -- Chapter. 7. Mixed methods -- Part. III. Extension to frictional contact and large strain -- Chapter. 8. Tresca friction -- Chapter. 9. Coulomb friction -- Chapter. 10. Contact between two elastic bodies -- Chapter. 11. Contact and self-contact in large strain -- Appendix A -- References -- Index |
| Summary |
This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics |
| Notes |
Print version record |
| Subject |
Finite element method.
|
|
Elasticity.
|
|
Numerical analysis.
|
|
Friction.
|
|
Contact mechanics.
|
|
Contact mechanics
|
|
Elasticity
|
|
Finite element method
|
|
Friction
|
|
Numerical analysis
|
| Form |
Electronic book
|
| Author |
Hild, Patrick, author
|
|
Renard, Yves, author
|
| ISBN |
9783031314230 |
|
3031314239 |
|
