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＜電子ブック＞
Finite Element Approximation of Contact and Friction in Elasticity / by Franz Chouly, Patrick Hild, Yves Renard
(Advances in Continuum Mechanics. ISSN:25244647 ; 48)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XXI, 294 p. 1 illus : online resource
著者標目	*Chouly, Franz author Hild, Patrick author Renard, Yves author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Continuum mechanics LCSH:Mechanics, Applied LCSH:Solids FREE:Numerical Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Continuum Mechanics FREE:Solid Mechanics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-31423-0

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