Variational inequalities with applications: a study of antiplane frictional contact problems

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 secondkind, 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 forgraduate students, practitioners, and engineers engaged in contact mechanics.Organization of the book into 4 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 INDICE: 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. ViscoelasticProblems with Long Memory.- Bibliographical Notes. References.- Index.

• ISBN: 978-0-387-87459-3
• Editorial: Springer
• Encuadernacion: Desconocida
• Páginas: 250
• Fecha Publicación: 01/01/2009
• Nº Volúmenes: 1
• Idioma: Inglés