Finite Element Approximation of Contact and Friction in Elasticity
Author:   Franz Chouly ,  Patrick Hild ,  Yves Renard
Publisher:   Birkhauser Verlag AG
Edition:   2023 ed.
Volume:   48
ISBN:  

9783031314254


Pages:   294
Publication Date:   25 June 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Finite Element Approximation of Contact and Friction in Elasticity


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Author:   Franz Chouly ,  Patrick Hild ,  Yves Renard
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2023 ed.
Volume:   48
ISBN:  

9783031314254


ISBN 10:   3031314255
Pages:   294
Publication Date:   25 June 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

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.

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