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Finite Element Approximation of Contact and Friction in Elasticity

Finite Element Approximation of Contact and Friction in Elasticity
Catalogue Information
Field name Details
Dewey Class 518
Title Finite Element Approximation of Contact and Friction in Elasticity (EBook /) / by Franz Chouly, Patrick Hild, Yves Renard.
Author Chouly, Franz
Added Personal Name Hild, Patrick
Renard, Yves
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2023.
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2023.
Physical Details XXI, 294 p. 1 illus. : online resource.
Series Advances in Continuum Mechanics 2524-4647 ; ; 48
ISBN 9783031314230
Summary Note 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.:
Contents note 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.
Mode of acces to digital resource Digital reproduction.-
Cham :
Springer International Publishing,
2023. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-031-31423-0
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