| Title:
|
Finite element analysis of a static contact problem with Coulomb friction (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
45 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
357-379 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A unilateral contact problem with a variable coefficient of friction is solved by a simplest variant of the finite element technique. The coefficient of friction may depend on the magnitude of the tangential displacement. The existence of an approximate solution and some a priori estimates are proved. (English) |
| Keyword:
|
unilateral contact |
| Keyword:
|
Coulomb friction |
| Keyword:
|
finite elements |
| Keyword:
|
existence proofs |
| MSC:
|
65N30 |
| MSC:
|
73T05 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 1019.74035 |
| idMR:
|
MR1777018 |
| DOI:
|
10.1023/A:1022220711369 |
| . |
| Date available:
|
2009-09-22T18:04:31Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134445 |
| . |
| Reference:
|
[1] P. G. Ciarlet: Basic Error Estimates for Elliptic Problems.In: Handbook of Numerical Analysis, vol. II, P. G. Ciarlet, J. L. Lions (eds.), North-Holland, Amsterdam, 1991. Zbl 0875.65086, MR 1115237 |
| Reference:
|
[2] Ch. Eck: Existenz und Regularität der Lösungen für Kontaktprobleme mit Reibung. Dissertation Thesis.Univ. Stuttgart, 1996. MR 1466960 |
| Reference:
|
[3] Ch. 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:
|
[4] J. Franců: Monotone operators. A survey directed to applications to differential equations.Appl. Math. 35 (1990), 257–301. MR 1065003 |
| Reference:
|
[5] J. Haslinger: Least square method for solving contact problems with friction obeying the Coulomb law.Appl. Math. 29 (1984), 212–224. Zbl 0557.73100, MR 0747213 |
| Reference:
|
[6] J. Haslinger: Approximation of the Signorini problem with friction, obeying Coulomb law.Math. Methods Appl. Sci. 5 (1983), 422–437. MR 0716664, 10.1002/mma.1670050127 |
| Reference:
|
[7] C. Licht, E. Pratt and M. Raous: Remarks on a numerical method for unilateral contact including friction.In: Unilateral Problems in Structural Analysis, Birkhäuser, Basel, 1991, pp. 129–144. MR 1169548 |
| . |
