Finite Element Approximation of Contact and Friction in Elasticity
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...
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| Autors principals: | , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Edició: | 1st ed. 2023. |
| Col·lecció: | Advances in Continuum Mechanics,
48 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-31423-0 |
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Taula de continguts:
- Part. I. Basic concepts
- Chapter. 1. Introduction
- Chapter. 2. Sobolev spaces
- Chapter. 3. Signorini’s problem
- Chapter. 4. Lagrange finite elements and interpolation
- Part. II. Numerical approximation for Signorini
- Chapter. 5. Finite elements for Signorini
- Chapter. 6. Nitsche’s 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.