References
- Eck C, Jiří J, Krbec M. Unilateral contact problems. Boca Raton (FL): Chapman & Hall/CRC; 2005. (Vol. 270, Pure and applied mathematics (Boca Raton)).
- Sofonea M, Han W, Shillor M. Analysis and approximation of contact problems with adhesion or damage. Boca Raton (FL): Chapman & Hall/CRC; 2006. (Vol. 276, Pure and applied mathematics (Boca Raton)).
- Shillor M, Sofonea M, Telega JJ. Models and analysis of quasistatic contact. Berlin: Springer; 2004. (Vol. 655, Lecture notes in physics).
- Frémond M. Non-smooth thermomechanics. Berlin: Springer-Verlag; 2002.
- Point N. Unilateral contact with adherence. Math Methods Appl Sci. 1988;10:367–381.
- Kočvara M, Mielke A, Roubíček T. a rate-independent approach to the delamination problem. Math Mech Solids. 2006;11:423–447.
- Mielke A, Roubíček T, Thomas M. From damage to delamination in nonlinearly elastic materials at small strains. J Elasticity. 2012;109:235–273.
- Roubíček T, Kružík M, Zeman J. Delamination and adhesive contact models and their mathematical analysis and numerical treatment. Mathematical methods and models in composites. London: Imperial College Press; 2014. (Vol. 5, p. 349–400, Computational and experimental methods in structures).
- Raous M, Cangémi L, Cocu M. A consistent model coupling adhesion, friction, and unilateral contact. Comput Methods Appl Mech Eng. 1999;177:383–399.
- Fernández JR, Shillor M, Sofonea M. Analysis and numerical simulations of a dynamic contact problem with adhesion. Math Comput Model. 2003;37:1317–1333.
- Bonetti E, Bonfanti G, Rossi R. Global existence for a contact problem with adhesion. Math Meth Appl Sci. 2008;31:1029–1064.
- Bonetti E, Bonfanti G, Rossi R. Well-posedness and long-time behaviour for a model of contact with adhesion. Indiana Univ Math J. 2007;56:2787–2820.
- Bonetti E, Bonfanti G, Rossi R. Thermal effects in adhesive contact: modelling and analysis. Nonlinearity. 2009;22:2967–2731.
- Bonetti E, Bonfanti G, Rossi R. Modeling via internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity. Nonlinear Anal Real World Appl. 2015;22:473–507.
- Bonetti E, Bonfanti G, Rossi R. Analysis of a unilateral contact problem taking into account adhesion and friction. J Differ Equ. 2012;235:438–462.
- Bonetti E, Bonfanti G, Rossi R. Analysis of a temperature-dependent model for adhesive contact with friction. Physica D. 2014;285:29–42.
- Freddi F, Frémond M. Damage in domains and interfaces: a coupled predictive theory. J Mech Mater Struct. 2006;1:1205–1233.
- Bonfanti G, Frémond M, Luterotti F. Global solution to a nonlinear system for irreversible phase changes. Adv Math Sci Appl. 2000;10:1–24.
- Mordukhovich BS. Variational analysis and generalized differentiation I. Basic theory. Berlin: Springer-Verlag; 2006.
- Brézis H. Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert. Number 5 in North Holland mathematical studies. Amsterdam: North-Holland; 1973.
- Mielke A, Rossi R, Savaré G. Nonsmooth analysis of doubly nonlinear evolution equations. Calc Var Partial Differ Equ. 2013;46:253–310.
- Simon J. Compact sets in the space Lp(0, T; B). Ann Mat Pura Appl. 1987;4(146):65–96.