Finite Element Approximation of Contact and Friction in Elasticity - Franz Chouly, Patrick Hild, Yves Renard

Finite Element Approximation of Contact and Friction in Elasticity

Buch | Softcover
XXI, 294 Seiten
2024 | 2023
Springer International Publishing (Verlag)
978-3-031-31425-4 (ISBN)
171,19 inkl. MwSt

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.

Franz Chouly is professor at the University of Burgundy (Dijon, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in fluid and solid mechanics.

Patrick Hild is professor at Paul Sabatier University (Toulouse, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in solid mechanics.

Yves Renard is professor at the National Institute of Applied Sciences of Lyon (INSA Lyon, France).  His research interests include numerical methods in solid mechanics, approximation of contact and friction conditions, numerical analysis of partial differential equations, finite element based numerical modeling.

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.

Erscheinungsdatum
Reihe/Serie Advances in Continuum Mechanics
Advances in Mechanics and Mathematics
Zusatzinfo XXI, 294 p. 1 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie Mechanik
Technik Maschinenbau
Schlagworte Augmented lagrangians • Contact and friction problems • convergence analysis • Finite element approximations • Finite Element Methods • Frictional Contact • Lagrange finite elements • Large-strain contact • Multi-body contact • Nitsche's Method • Signorini problem • Sobolev spaces • variational inequalities
ISBN-10 3-031-31425-5 / 3031314255
ISBN-13 978-3-031-31425-4 / 9783031314254
Zustand Neuware
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