References
- Campo M, Fernández JR, Han W, et al. A dynamic viscoelastic contact problem with normal compliance and damage. Finite Elem. Anal. Des. 2005;42:1–24.
- Jarušek J, Sofonea M. On the solvability of dynamic elastic-visco-plastic contact problems. Z. Angew. Math. Mech. 2008;88:3–22.
- Campo M, Fernández JR, Kuttler KL, et al. Numerical analysis and simulations of a dynamic frictionless contact problem with damage. Comput. Methods Appl. Mech. Eng. 2006;196:476–488.
- Han J, Li Y, Migorski S. Analysis of an adhesive contact problem for viscoelastic materials with long memory. J. Math. Anal. Appl. 2015;427:646–668.
- Han W, Shillor M, Sofonea M. Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage. J. Comput. Appl. Math. 2001;137:377–398.
- Chau O, Fernández JR, Han W, et al. A frictionless contact problem for elactic-viscoplastic materials with normal compliance and damage. Comput. Methods Appl. Mech. Eng. 2002;191:5005–5026.
- Chau O, Fernández JR. A convergence result in elastic-viscoplastic contact problems with damage. Math. Comput. Model. 2003;37:301–321.
- Campo M, Fernández JR, Hoarau-Mantel T-V. Analysis of two frictional viscoplastic contact problems with damage. J. Comput. Appl. Math. 2006;196:180–197.
- Campo M, Fernández JR, Rodríguez-Arós Á. A quasistatic contact problem with normal compliance and damage involving viscoelastic materials with long memory. Appl. Numer. Math. 2008;58:1274–1290.
- Kuttler KL. Quasistatic evolution of damage in an elastic-viscoplastic material. Electron. J. Diff. Equ. 2005;147:1–25.
- Kuttler KL, Shillor M. Quasistatic evolution of damage in an elastic body. Nonlinear Anal. Real World Appl. 2006;7:674–699.
- Kuttler KL, Shillor M, Fernández JR. Existence and regularity for dynamic viscoelastic adhesive contact with damage. Appl. Math. Optim. 2005;53:31–66.
- Campo M, Fernández JR, Kuttler KL. An elastic-viscoplastic quasistatic contact problem with damage. Comput. Methods Appl. Mech. Eng. 2007;196:3219–3229.
- Han W, Sofonea M. On a dynamic contact problem for elastic-visco-plastic materials. Appl. Numer. Math. 2007;57:498–509.
- Sofonea M, Han W, Shillor M. Analysis and approximation of contact problems with adhesion or damage. Vol. 276, Pure and applied mathematics. New York (NY): Chapman-Hall/CRC Press; 2006.
- Migórski S, Ochal A. Quasistatic hemivariational inequality via vanishing acceleration approach. SIAM J. Math. Anal. 2009;41:1415–1435.
- Panagiotopoulos PD. Hemivariational inequalities. Applications in mechanics and engineering. Berlin: Springer-Verlag; 1993.
- Naniewicz Z, Panagiotopoulos PD. Mathematical theory of hemivariational inequalities and applications. New York (NY): Marcel Dekker; 1995.
- Liu ZH, Migórski S. Noncoercive damping in dynamic hemivariational inequality with application to problem of piezoelectricity. Discrete Continuous Dyn. Syst. Ser. B. 2008;9:129–143.
- Migórski S. Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction. Appl. Anal. 2005;84:669–699.
- Migórski S, Ochal A. A unified approach to dynamic contact problems in viscoelasticity. J. Elast. 2006;83:247–275.
- Migórski S, Ochal A, Sofonea M. Integrodifferential hemivariational inequalities with applications to viscoelastic frictional contact. Math. Models Methods Appl. Sci. 2008;18:271–290.
- Migórski S, Ochal A, Sofonea M. Nonlinear inclusions and hemivariational inequalities: models and analysis of contact problems. Vol. 26, Advances in mechanics and mathematics. New York (NY): Springer; 2013.
- Shillor M, Sofonea M, Telega JJ. Models and analysis of quasistatic contact. Vol. 655, Lecture notes in physics. Berlin: Springer; 2004.
- Denkowski Z, Migórski S, Papageorgiou NS. An introduction to nonlinear analysis: theory. Boston (MA), Dordrecht, London, New York (NY): Plenum Publishers, Kluwer Academic; 2003.
- Clarke FH. Optimization and nonsmooth analysis. New York (NY): Wiley Interscience; 1983.
- Kulig A, Migórski S. Solvability and continuous dependence results for second order nonlinear evolution inclusions with a Volterra-type operator. Nonlinear Anal. 2012;75:4729–4746.
- Zeidler E. Nonlinear functional analysis and applications II A/B. New York (NY): Springer; 1990.