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Finite element approximation of contact and friction in elasticity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Finite element approximation of contact and friction in elasticity/ by Franz Chouly, Patrick Hild, Yves Renard.
作者:	Chouly, Franz.
其他作者:	Hild, Patrick.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xxi, 294 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Finite element method. -
電子資源:	https://doi.org/10.1007/978-3-031-31423-0
ISBN:	9783031314230

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

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

528332
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

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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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