Finite Element Approximation of Contact and Friction in Elasticity

Franz Chouly, Patrick Hild, Yves Renard

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English

Birkhauser Verlag AG
24 June 2023

Numerical analysis; Classical mechanics; Mechanics of solids

Series: Advances in Mechanics and Mathematics

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.

By: Franz Chouly, Patrick Hild, Yves Renard
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2023 ed.
Volume: 48
Dimensions: Height: 235mm, Width: 155mm,
Weight: 641g
ISBN: 9783031314223
ISBN 10: 3031314220
Series: Advances in Mechanics and Mathematics
Pages: 294
Publication Date: 24 June 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.