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Finite element approximation of contact and friction in elasticity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite element approximation of contact and friction in elasticityby Franz Chouly, Patrick Hild, Yves Renard.
Author:	Chouly, Franz.
other author:	Hild, Patrick.
Published:	Cham :Springer International Publishing :2023.
Description:	xxi, 294 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-3-031-31423-0
ISBN:	9783031314230$q(electronic bk.)

Finite element approximation of contact and friction in elasticity
Chouly, Franz.

Finite element approximation of contact and friction in elasticity[electronic resource] /by Franz Chouly, Patrick Hild, Yves Renard. - Cham :Springer International Publishing :2023. - xxi, 294 p. :ill., digital ;24 cm. - Advances in continuum mechanics,v. 482524-4647 ;. - Advances in continuum mechanics,v. 48..

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.

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.

ISBN: 9783031314230$q(electronic bk.)

Standard No.: 10.1007/978-3-031-31423-0doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Finite element approximation of contact and friction in elasticity
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505 0 $a 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.
520 $a 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.
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