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Variational Inequalities with Applications

A Study of Antiplane Frictional Contact Problems

  • Andaluzia Matei
  • Mircea Sofonea

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 18)

Table of contents

  1. Front Matter
    Pages 1-17
  2. Background on Functional Analysis

    1. Front Matter
      Pages 1-1
    2. Mircea Sofonea, Andaluzia Matei
      Pages 1-17
    3. Mircea Sofonea, Andaluzia Matei
      Pages 1-19
  3. Variational Inequalities

    1. Front Matter
      Pages 1-1
    2. Mircea Sofonea, Andaluzia Matei
      Pages 1-17
    3. Mircea Sofonea, Andaluzia Matei
      Pages 1-14
    4. Mircea Sofonea, Andaluzia Matei
      Pages 1-34
    5. Mircea Sofonea, Andaluzia Matei
      Pages 1-17
  4. Background on Contact Mechanics

    1. Front Matter
      Pages 1-1
    2. Mircea Sofonea, Andaluzia Matei
      Pages 1-18
    3. Mircea Sofonea, Andaluzia Matei
      Pages 1-21
  5. Antiplane Frictional Contact Problems

    1. Front Matter
      Pages 1-1
    2. Mircea Sofonea, Andaluzia Matei
      Pages 1-19
    3. Mircea Sofonea, Andaluzia Matei
      Pages 1-11
    4. Mircea Sofonea, Andaluzia Matei
      Pages 1-14
  6. Back Matter
    Pages 1-12

About this book

Introduction

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.

Keywords

antiplane shear contact mechanics elastic problems function spaces mechanics modeling visoelastic problems

Authors and affiliations

  • Andaluzia Matei
  • Mircea Sofonea

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-87460-9
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-87459-3
  • Online ISBN 978-0-387-87460-9
  • Series Print ISSN 1571-8689
  • Series Online ISSN 1876-9896
  • Buy this book on publisher's site