Existence of solutions for the dynamic frictional contact problem of isotropic viscoelastic bodies

Nonlinear Analysis, Theory, Methods and Applications

Volumn 53, Issue 2, 2003, Pages 157-181

  Eck, C ^a   Jarusek J ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Coulomb law of friction; Existence of solutions; Parabolic equation; Penalty method; Unilateral dynamic contact problem; Viscoelasticity

Indexed keywords

DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; LINEARIZATION; PROBLEM SOLVING; TENSORS; VISCOELASTICITY;

FRICTIONAL CONTACT;

FRICTION;

EID: 0037391292     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00911-7     Document Type: Article

References (10)

1. Andersson L.-E. Existence result for quasistatic contact problems with Coulomb friction. Appl. Math. Optim. 42:2000;169-202.
2. Andrews K.T., Shillor M., Wright S. Dynamic evolution of an elastic beam in frictional contact with an obstacle. Raous M., Pratt E. Contact Mechanics, Proceedings of the Second Cont. Mech. International Symposium Carry-le-Rouet. 1995;49-56 Plenum Press, New York.
3. G. Duvaut, J.L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972.
4. Jarušek J. Contact problems with bounded friction. Coercive case. Czechosl. Math. J. 33:1983;237-261.
5. Jarušek J. Contact problems with given time-dependent friction force in linear viscoelasticity. Commun. Math. Univ. Carolinae. 31:1990;257-262.
6. Jarušek J. Dynamic contact problems with given friction for viscoelastic bodies. Czechosl. Math. J. 46:1996;475-487.
7. Jarušek J., Eck C. Dynamic contact problems with friction in linear viscoelasticity. C. R. Acad. Sci. Paris Sér. I. 322:1996;497-502.
8. Jarušek J., Eck C. Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. Math. Models Methods Appl. Sci. 9(1):1999;11-34.
9. Luenberger D.G. Introduction to Linear and Nonlinear Programming. 1973;Addison-Wesley, Reading, MA.
10. Nečas J., Jarušek J., Haslinger J. On the solution of the variational inequality to the Signorini problem with small friction. Bollettino U.M.I. 5(17-B):1980;796-811.