Advances in Mechanics and Mathematics

Variational Inequalities with Applications

A Study of Antiplane Frictional Contact Problems

Authors: Sofonea, Mircea, Matei, Andaluzia

  • Organization of the book into four parts makes it easy to concentrate on the topics
  • Presentation is very clear, easy to follow, and well-referenced
  • Presents the essentials of the theory of VIs and its applications to a class of interesting problems in contact mechanics
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eBook $109.00
price for USA (gross)
  • ISBN 978-0-387-87460-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-0-387-87459-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4419-2765-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

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 Lovíšek, Mathematical Reviews, Issue 2009 j)


Table of contents (11 chapters)

  • Antiplane Shear

    Sofonea, Mircea (et al.)

    Pages 1-21

  • Preliminaries

    Sofonea, Mircea (et al.)

    Pages 1-17

  • Evolutionary Variational Inequalities

    Sofonea, Mircea (et al.)

    Pages 1-34

  • Evolutionary Variational Inequalities with Viscosity

    Sofonea, Mircea (et al.)

    Pages 1-14

  • Viscoelastic Problems with Short Memory

    Sofonea, Mircea (et al.)

    Pages 1-11

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-387-87460-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-0-387-87459-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4419-2765-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Variational Inequalities with Applications
Book Subtitle
A Study of Antiplane Frictional Contact Problems
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
18
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-87460-9
DOI
10.1007/978-0-387-87460-9
Hardcover ISBN
978-0-387-87459-3
Softcover ISBN
978-1-4419-2765-1
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XIX, 230
Number of Illustrations and Tables
5 b/w illustrations
Topics