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Variational Inequalities and Frictional Contact Problems by Anca Capatina (Engli

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
ISBN-13
9783319101620
Book Title
Variational Inequalities and Frictional Contact Problems
ISBN
9783319101620
Publication Year
2014
Series
Advances in Mechanics and Mathematics Ser.
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Variational Inequalities and Frictional Contact Problems
Author
Anca Capatina
Item Length
9.3in
Publisher
Springer International Publishing A&G
Item Width
6.1in
Item Weight
19.4 Oz
Number of Pages
X, 235 Pages

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Product Information

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.

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3319101625
ISBN-13
9783319101620
eBay Product ID (ePID)
202472250

Product Key Features

Author
Anca Capatina
Publication Name
Variational Inequalities and Frictional Contact Problems
Format
Hardcover
Language
English
Publication Year
2014
Series
Advances in Mechanics and Mathematics Ser.
Type
Textbook
Number of Pages
X, 235 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
19.4 Oz

Additional Product Features

Series Volume Number
31
Number of Volumes
1 Vol.
Lc Classification Number
Qa613-613.8
Reviews
"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." (Jn Lovsek, 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 Lovísek, Mathematical Reviews, April, 2015)
Table of Content
Introduction.- 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.
Copyright Date
2014
Topic
Engineering (General), Geometry / Differential, Mechanics / General, Calculus, Topology
Lccn
2014-948781
Dewey Decimal
515.64
Intended Audience
Scholarly & Professional
Dewey Edition
23
Illustrated
Yes
Genre
Technology & Engineering, Science, Mathematics

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