On the thermal aspect of dynamic contact problems

Christof Eck; Jiří Jarušek

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 337-352
  • ISSN: 0862-7959

Abstract

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A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.

How to cite

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Eck, Christof, and Jarušek, Jiří. "On the thermal aspect of dynamic contact problems." Mathematica Bohemica 126.2 (2001): 337-352. <http://eudml.org/doc/248831>.

@article{Eck2001,
abstract = {A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.},
author = {Eck, Christof, Jarušek, Jiří},
journal = {Mathematica Bohemica},
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; Coulomb friction; viscoelasticity; existence; heat generation},
language = {eng},
number = {2},
pages = {337-352},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the thermal aspect of dynamic contact problems},
url = {http://eudml.org/doc/248831},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Eck, Christof
AU - Jarušek, Jiří
TI - On the thermal aspect of dynamic contact problems
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 337
EP - 352
AB - A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.
LA - eng
KW - 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; Coulomb friction; viscoelasticity; existence; heat generation
UR - http://eudml.org/doc/248831
ER -

References

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  1. Interpolation Spaces, An Introduction, Springer Verlag, Berlin, 1976. (1976) MR0482275
  2. Existence of solutions for the dynamic frictional contact problem of isotropic elastic bodies, Preprint No. 242, Institute for Applied Mathematics, University Erlangen-Nürnberg, 1998. (1998) MR1606688
  3. 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. (1999) MR1710706
  4. 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. (2000) 
  5. Dynamical contact problems with given friction for viscoelastic bodies, Czechoslovak Math. J. 46 (1996), 475–487. (1996) MR1408299
  6. 10.1142/S0218202599000038, Math. Models & Meth. Appl. Sci. 9 (1999), 11–34. (1999) MR1671535DOI10.1142/S0218202599000038
  7. 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. (2000) 
  8. Les méthodes directes en équations elliptiques, Academia, Praha, 1967. (1967) 
  9. On the solution of the variational inequality to the Signorini problem with small friction, Boll. Unione Mat. Ital. 5 (17 B) (1980), 796–811. (1980) MR0580559
  10. Interpolation Theory, Function Spaces, Differential Operators, North Holland, Amsterdam, 1978. (1978) Zbl0387.46033MR0503903

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