Variational Inequalities with Applications
A Study of Antiplane Frictional Contact Problems
(Sprache: Englisch)
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of...
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This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.
Klappentext zu „Variational Inequalities with Applications “
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics.
Inhaltsverzeichnis zu „Variational Inequalities with Applications “
- Preface- List of Symbols
I. Background of Functional Analysis
1. Preliminaries
2. Function Spaces
II. Variational Inequalities
3. Elliptic Variational Inequalities
4. Evolutionary Variational Inequalities with Viscosity
5. Evolutionary Variational Inequalities
6. Volterra-type Variational Inequalities
III. Background of Contact Mechanics
7. Modelling of Contact Processes
8. Antiplane Shear
IV. Antiplane Frictional Contact Problems
9. Elastic Problems
10. Viscoelastic Problems with Short Memory
11. Viscoelastic Problems with Long Memory
- Bibliographical Notes
- References
- Index
Bibliographische Angaben
- Autoren: Mircea Sofonea , Andaluzia Matei
- 2010, Softcover reprint of hardcover 1st ed. 2009, XIX, 230 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441927654
- ISBN-13: 9781441927651
Sprache:
Englisch
Rezension zu „Variational Inequalities with Applications “
From the reviews:"The aim of the present outstanding book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under bilateral constraints. ... This volume is primarily addressed to applied mathematicians working in the field of variational inequalities and their applications, especially those concerned with numerical aspects. ... the book will also be useful for scientists from application areas, in particular, those from engineering and physics." (Ján Lovísek, Mathematical Reviews, Issue 2009 j)
Pressezitat
From the reviews: "The aim of the present outstanding book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under bilateral constraints. ... This volume is primarily addressed to applied mathematicians working in the field of variational inequalities and their applications, especially those concerned with numerical aspects. ... the book will also be useful for scientists from application areas, in particular, those from engineering and physics." (Ján Lovísek, Mathematical Reviews, Issue 2009 j)
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