Analysis and Approximation of Contact Problems with Adhesion or Damage

Mircea Sofonea, Weimin Han, Meir Shillor

“This book summarizes and completes the work of the authors on the topic of dynamic and quasistatic contact problems with adhesion or damage of viscoelastic structures in recent years. Different models involving adhesion and material damages are presented with both the theoretical result (existence and uniqueness of a weak solution) and the numerical analysis result (optimal convergence of discrete approximation by finite element methods) in a unified framework. The book is well presented and easy to read.” — Yves Renard, (Villeurbanne), in Mathematical Reviews, Issue 2007f gt; A Seminal Contribution to the Field by Renowned Researchers

• Modeling and Mathematical Background. Basic Equations and Boundary Conditions. Preliminaries on Functional Analysis. Preliminaries on Numerical Analysis. Frictionless Contact Problems with Adhesion. Quasistatic Viscoelastic Contact with Adhesion. Dynamic Viscoelastic Contact with Adhesion. Quasistatic Viscoplastic Contact with Adhesion. Contact Problems with Damage. Quasistatic Viscoelastic Contact with Damage. Dynamic Viscoelastic Contact with Damage. Quasistatic Viscoplastic Contact with Damage. Notes, Comments, and Conclusions. Bibliographical Notes, Problems for Future Research, and Conclusions. References. Index.