| Title:
|
On the thermal aspect of dynamic contact problems (English) |
| Author:
|
Eck, C. |
| Author:
|
Jarušek, J. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
337-352 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented. (English) |
| Keyword:
|
contact problem formulated in velocities |
| Keyword:
|
Coulomb friction |
| Keyword:
|
thermo-viscoelasticity |
| Keyword:
|
linearized and nonlinear models |
| Keyword:
|
deformation heat |
| Keyword:
|
frictional heat |
| Keyword:
|
viscous heat |
| Keyword:
|
heat radiation |
| Keyword:
|
viscoelasticity |
| Keyword:
|
existence |
| Keyword:
|
heat generation |
| MSC:
|
35K60 |
| MSC:
|
35K85 |
| MSC:
|
49J40 |
| MSC:
|
74C10 |
| MSC:
|
74D05 |
| MSC:
|
74F05 |
| MSC:
|
74H20 |
| MSC:
|
74H30 |
| MSC:
|
74H99 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| MSC:
|
80A20 |
| idZBL:
|
Zbl 1049.74032 |
| idMR:
|
MR1844273 |
| DOI:
|
10.21136/MB.2001.134027 |
| . |
| Date available:
|
2009-09-24T21:51:14Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134027 |
| . |
| Reference:
|
[1] J. Bergh, J. Löfström: Interpolation Spaces, An Introduction.Springer Verlag, Berlin, 1976. MR 0482275 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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. |
| Reference:
|
[5] J. Jarušek: Dynamical contact problems with given friction for viscoelastic bodies.Czechoslovak Math. J. 46 (1996), 475–487. MR 1408299 |
| Reference:
|
[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. MR 1671535, 10.1142/S0218202599000038 |
| Reference:
|
[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. |
| Reference:
|
[8] J. Nečas: Les méthodes directes en équations elliptiques.Academia, Praha, 1967. |
| Reference:
|
[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 |
| Reference:
|
[10] H. Triebel: Interpolation Theory, Function Spaces, Differential Operators.North Holland, Amsterdam, 1978. Zbl 0387.46033, MR 0503903 |
| . |
