Finite element approximation of contact and friction in elasticity / Franz Chouly, Patrick Hild, Yves Renard.
Chouly, Franz, author.; Hild, Patrick, author.; Renard, Yves, author.
2023
TA347.F5
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Title Finite element approximation of contact and friction in elasticity / Franz Chouly, Patrick Hild, Yves Renard.
Author Chouly, Franz, author.
ISBN 9783031314230 (electronic bk.)
3031314239 (electronic bk.)
9783031314223
3031314220
DOI https://doi.org/10.1007/978-3-031-31423-0
Published Cham : Birkhäuser, 2023.
Language English
Description 1 online resource (300 pages) : illustrations (black and white, and color).
Item Number 10.1007/978-3-031-31423-0 doi
Call Number TA347.F5
Dewey Decimal Classification 518/.25
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.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Hild, Patrick, author.
Renard, Yves, author.
Series Advances in continuum mechanics.
Advances in mechanics and mathematics ; v. 48.
Available in Other Form Finite element approximation of contact and friction in elasticity.
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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.

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