Article
MSC:
35K60,
35K85,
49J40,
74C10,
74D05,
74F05,
74H20,
74H30,
74H99,
74M10,
74M15,
80A20 | MR 1844273 | Zbl 1049.74032 | DOI: 10.21136/MB.2001.134027
Full entry |
PDF
(0.4 MB)
Feedback
PDF
(0.4 MB)
Feedback
Keywords:
contact problem formulated in velocities; Coulomb friction; thermo-viscoelasticity; linearized and nonlinear models; deformation heat; frictional heat; viscous heat; heat radiation; viscoelasticity; existence; heat generation
contact problem formulated in velocities; Coulomb friction; thermo-viscoelasticity; linearized and nonlinear models; deformation heat; frictional heat; viscous heat; heat radiation; viscoelasticity; existence; heat generation
Summary:
A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.
References:
[1] J. Bergh, J. Löfström: Interpolation Spaces, An Introduction. Springer Verlag, Berlin, 1976. MR 0482275
[2] C. Eck, J. Jarušek: Existence of solutions for the dynamic frictional contact problem of isotropic elastic bodies. Preprint No. 242, Institute for Applied Mathematics, University Erlangen-Nürnberg, 1998. MR 1606688
[3] C. Eck, J. Jarušek: The solvability of a coupled thermoviscoelastic contact problem with small Coulomb friction and linearized growth of frictional heat. Math. Meth. Appl. Sci. 22 (1999), 1221–1234. MR 1710706
[4] C. Eck: Existence of solutions to a thermoviscoelastic contact problem with Coulomb friction and heat radiation. Preprint No. 271, Institute for Applied Mathematics, University Erlangen-Nürnberg, 2000.
[5] J. Jarušek: Dynamical contact problems with given friction for viscoelastic bodies. Czechoslovak Math. J. 46 (1996), 475–487. MR 1408299
[6] J. Jarušek, C. Eck: Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. Math. Models & Meth. Appl. Sci. 9 (1999), 11–34. DOI 10.1142/S0218202599000038 | MR 1671535
[7] J. Jarušek: Solvability of a nonlinear thermo-viscoelastic contact problem with small friction and general growth of the heat energy. Preprint No. 273, Institute for Applied Mathematics, University Erlangen-Nürnberg, 2000.
[8] J. Nečas: Les méthodes directes en équations elliptiques. Academia, Praha, 1967.
[9] J. Nečas, J. Jarušek, J. Haslinger: On the solution of the variational inequality to the Signorini problem with small friction. Boll. Unione Mat. Ital. 5 (17 B) (1980), 796–811. MR 0580559
[10] H. Triebel: Interpolation Theory, Function Spaces, Differential Operators. North Holland, Amsterdam, 1978. MR 0503903 | Zbl 0387.46033
Search
Partner of
