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Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems
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Catalogue Information
Field name
Details
Dewey Class
515.64
Title
Variational Inequalities with Applications ([Ebook]) : A Study of Antiplane Frictional Contact Problems / by Andaluzia Matei, Mircea Sofonea.
Author
Matei, Andaluzia
Added Personal Name
Sofonea, Mircea
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 2009.
Physical Details
: online resource.
Series
Advances in Mechanics and Mathematics
1571-8689 ; ; 18
ISBN
9780387874609
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-0-387-87460-9
Links to Related Works
Subject References:
Calculus of variations and optimal control; optimization
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Continuum Mechanics and Mechanics of Materials
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Differential equations, Partial
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Global analysis
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Global Analysis and Analysis on Manifolds
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Manifolds (Mathematics)
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Mathematical optimization
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Operator Theory
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Partial differential equations
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Authors:
author
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Matei, Andaluzia
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Sofonea, Mircea
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Corporate Authors:
SpringerLink (Online service)
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Series:
Advances in Mechanics and Mathematics
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Classification:
515.64
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515.64 (DDC 22)
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