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OverviewVariational 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. Full Product DetailsAuthor: Anca CapatinaPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2014 Volume: 31 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.519kg ISBN: 9783319357355ISBN 10: 3319357352 Pages: 235 Publication Date: 23 August 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Part I: Preliminaries.- Spaces of Real-valued Functions.- Spaces of Vector-valued Functions.- Part II: Variational Inequalities.- Existence and Uniqueness Results.- Some Properties of Solutions.- Dual Formulations.- Approximations of Variational Inequalities.- Part III: Contact Problems with Friction in Elasticity.- Static Problems.- Quasistatic Problems.ReviewsThis important book is unique in that it presents a profound mathematical analysis of general contact problems. ... The monograph is written in an accessible and self-contained manner. It will be of interest to research mathematicians and science engineers working in solid and fluid mechanics and in optimization theory of partial differential equations. Moreover, it is suitable as a textbook for graduate courses in optimization of elliptic systems. (Jan Lovisek, Mathematical Reviews, April, 2015) “This important book is unique in that it presents a profound mathematical analysis of general contact problems. … The monograph is written in an accessible and self-contained manner. It will be of interest to research mathematicians and science engineers working in solid and fluid mechanics and in optimization theory of partial differential equations. Moreover, it is suitable as a textbook for graduate courses in optimization of elliptic systems.” (Ján Lovíšek, Mathematical Reviews, April, 2015) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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