Variational Inequalities and Frictional Contact Problems

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Variational Inequalities and Frictional Contact Problems by Anca Capatina, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Anca Capatina ISBN: 9783319101637
Publisher: Springer International Publishing Publication: September 16, 2014
Imprint: Springer Language: English
Author: Anca Capatina
ISBN: 9783319101637
Publisher: Springer International Publishing
Publication: September 16, 2014
Imprint: Springer
Language: English

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems.

The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems.

The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else.

More books from Springer International Publishing

Cover of the book Mental Health and Addiction Care in the Middle East by Anca Capatina
Cover of the book The Palgrave Handbook of Australian and New Zealand Criminology, Crime and Justice by Anca Capatina
Cover of the book Paul J. Crutzen: A Pioneer on Atmospheric Chemistry and Climate Change in the Anthropocene by Anca Capatina
Cover of the book Financial Innovation and Engineering in Islamic Finance by Anca Capatina
Cover of the book Cultural Policy and Federalism by Anca Capatina
Cover of the book Dynamic Innovation in Outsourcing by Anca Capatina
Cover of the book Nutrition Therapy for Urolithiasis by Anca Capatina
Cover of the book Nanotechnology for Bioenergy and Biofuel Production by Anca Capatina
Cover of the book Tourism in Antarctica by Anca Capatina
Cover of the book Lignocellulose-Based Bioproducts by Anca Capatina
Cover of the book Multifocal Intraocular Lenses by Anca Capatina
Cover of the book Hybrid and Hierarchical Composite Materials by Anca Capatina
Cover of the book African Perspectives of King Dingane kaSenzangakhona by Anca Capatina
Cover of the book Counseling Asian Indian Immigrant Families by Anca Capatina
Cover of the book A Theatre Laboratory Approach to Pedagogy and Creativity by Anca Capatina
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy