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Finite Element Approximation of Contact and Friction in Elasticity
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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
Links to Related Works
Subject References:
Computational Mathematics and Numerical Analysis
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Continuum Mechanics
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Mathematics
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Mechanics, Applied
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Numerical Analysis
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Solid Mechanics
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Solids
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Authors:
author
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Chouly, Franz
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Hild, Patrick
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Renard, Yves
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Corporate Authors:
SpringerLink (Online service)
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Series:
Advances in Continuum Mechanics
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Classification:
518
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