| Title:
|
Signorini problem with a solution dependent coefficient of friction (model with given friction): Approximation and numerical realization (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Vlach, Oldřich |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
153-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with the dual formulation of each iterative step is used for numerical realization. Numerical results of model examples are shown. (English) |
| Keyword:
|
contact problems with given friction |
| Keyword:
|
unilateral contact and friction |
| Keyword:
|
solution dependent coefficient of friction |
| MSC:
|
35J85 |
| MSC:
|
35Q72 |
| MSC:
|
65N30 |
| MSC:
|
74G15 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| idZBL:
|
Zbl 1099.65109 |
| idMR:
|
MR2125156 |
| DOI:
|
10.1007/s10492-005-0010-6 |
| . |
| Date available:
|
2009-09-22T18:21:26Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134598 |
| . |
| Reference:
|
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| Reference:
|
[2] Z. Dostál: Box constrained quadratic programming with proportioning and projections.SIAM J. Optim. 7 (1997), 871–887. MR 1462070, 10.1137/S1052623494266250 |
| Reference:
|
[3] C. Eck, J. Jarušek: Existence results for the static contact problem with Coulomb friction.Math. Models Methods Appl. Sci. 8 (1998), 445–468. MR 1624879, 10.1142/S0218202598000196 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[6] I. Hlaváček: Finite element analysis of a static contact problem with Coulomb friction.Appl. Math. 45 (2000), 357–379. MR 1777018, 10.1023/A:1022220711369 |
| Reference:
|
[7] J. Haslinger, P. D. Panagiotopulos: The reciprocal variational approach to the Signorini problem with friction. Approximation results.Proc. R. Soc. Edinb. Sect. A 98 (1984), 365–383. MR 0768357, 10.1017/S0308210500013536 |
| Reference:
|
[8] N. Kikuchi, J. T. Oden: Contact Problems in Elasticity. A Study of Variational Inequalities and Finite Element Methods, Mathematics and Computer Science for Engineers.SIAM, Philadelphia, 1988. MR 0961258 |
| Reference:
|
[9] J. Nečas, J. Jarušek, and J. Haslinger: On the solution of the variational inequality to the Signorini problem with small friction.Boll. Unione Mat. Ital. V. Ser., 17 (1980), 796–811. MR 0580559 |
| . |
