Variational-Hemivariational Inequalities with Applications
eBook - ePub

Variational-Hemivariational Inequalities with Applications

  1. 352 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Variational-Hemivariational Inequalities with Applications

About this book

Variational-Hemivariational Inequalities with Applications, Second Edition represents the outcome of the cross-fertilization of nonlinear functional analysis and mathematical modelling, demonstrating its application to solid and contact mechanics. Based on authors' original results, the book illustrates the use of various functional methods (including monotonicity, pseudomonotonicity, compactness, penalty and fixed-point methods) in the study of various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results.

Written for mathematicians, applied mathematicians, engineers and scientists, this book is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.

New to the second edition

  • Convergence and well-posedness results for elliptic and history-dependent variational-hemivariational inequalities
  • Existence results on various optimal control problems with applications in solid and contact mechanics
  • Existence, uniqueness and stability results for evolutionary and differential variational-hemivariational inequalities with unilateral constraints
  • Modelling and analysis of static and quasistatic contact problems for elastic and viscoelastic materials with looking effect
  • Modelling and analysis of viscoelastic and viscoplastic dynamic contact problems with unilateral constraints.

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Yes, you can access Variational-Hemivariational Inequalities with Applications by Mircea Sofonea,Stanislaw Migorski in PDF and/or ePUB format, as well as other popular books in Mathematics & Arithmetic. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface
  8. Author Biographies
  9. I Variational Problems in Solid Mechanics
  10. II Variational-Hemivariational Inequalities
  11. III Applications to Contact Mechanics
  12. Bibliography
  13. Index