part 1 Part I: Modeling and Mathematical Background -- chapter 1 Basic Equations and Boundary Conditions -- chapter 2 Preliminaries on Functional Analysis -- chapter 3 Preliminaries on Numerical Analysis -- part 2 Part II: Frictionless Contact Problems with Adhesion -- chapter 4 Quasistatic Viscoelastic Contact with Adhesion -- chapter 5 Dynamic Viscoelastic Contact with Adhesion -- chapter 6 Quasistatic Viscoplastic Contact with Adhesion -- part 3 Part III: Contact Problems with Damage -- chapter 7 Quasistatic Viscoelastic Contact with Damage -- chapter 8 Dynamic Viscoelastic Contact with Damage -- chapter 9 Quasistatic Viscoplastic Contact with Damage -- part 4 Part IV: Notes, Comments, and Conclusions -- chapter 10 Bibliographical Notes, Problems for Future Research, and Conclusions.