Variational Inequalities with Applications A Study of Antiplane Frictional Contact Problems /

• Main Authors: Matei, Andaluzia. (Author), Sofonea, Mircea. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Advances in Mechanics and Mathematics, 18
• Subjects: Mathematics.; Global analysis.; Operator theory.; Differential equations, partial.; Mathematical optimization.; Materials.; Partial Differential Equations.; Operator Theory.; Global Analysis and Analysis on Manifolds.; Continuum Mechanics and Mechanics of Materials.; Calculus of Variations and Optimal Control; Optimization.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87460-9

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...

Table of Contents:

• 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.