Format:
1 Online-Ressource(XXI, 294 p. 1 illus.)
Edition:
1st ed. 2023.
ISBN:
9783031314230
Series Statement:
Advances in Continuum Mechanics 48
Content:
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.
Content:
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.
Additional Edition:
ISBN 9783031314223
Additional Edition:
ISBN 9783031314247
Additional Edition:
ISBN 9783031314254
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031314223
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031314247
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031314254
Language:
English
DOI:
10.1007/978-3-031-31423-0
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