| Title:
|
Least square method for solving contact problems with friction obeying the Coulomb law (English) |
| Author:
|
Haslinger, Jaroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1984 |
| Pages:
|
212-224 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic error play the role of the state equations and the cost function, respectively. (English) |
| Keyword:
|
friction |
| Keyword:
|
Coulomb law |
| Keyword:
|
variational inequality formulation replaced |
| Keyword:
|
in finite dimension by family of nonlinear equations |
| Keyword:
|
simultaneous |
| Keyword:
|
penalization and regularization |
| Keyword:
|
continuous model |
| Keyword:
|
finite element discretisation |
| Keyword:
|
least squares method |
| MSC:
|
65N30 |
| MSC:
|
73T05 |
| MSC:
|
74A55 |
| MSC:
|
74M15 |
| MSC:
|
74S30 |
| MSC:
|
74S99 |
| idZBL:
|
Zbl 0557.73100 |
| idMR:
|
MR0747213 |
| DOI:
|
10.21136/AM.1984.104086 |
| . |
| Date available:
|
2008-05-20T18:24:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104086 |
| . |
| Reference:
|
[1] I. Hlaváček J. Haslinger J. Nečas J. Lovíšek: Solution of Variation Inequalities in Mechanics.(in Slovak), ALFA, SNTL, Bratislava, Praha, 1982. MR 0755152 |
| Reference:
|
[2] J. Nečas J. Jarušek J. Haslinger: On the solution of the variational inequality to the Signorini problem with small friction.Bolletino U.M.I. (5), 17 - B (1980), 796-811. MR 0580559 |
| Reference:
|
[3] J. Jarušek: Contact problems with bounded friction. Coercive case.Czech. Math. J. 33 (108) (1983), 237-261. MR 0699024 |
| Reference:
|
[4] J. Haslinger: Approximation of the Signorini problem with friction, obeying the Coulomb law.Math. Meth. in the Appl. Sci 5 (1983), 422-437. Zbl 0525.73130, MR 0716664, 10.1002/mma.1670050127 |
| Reference:
|
[5] G. Duvaut J. L. Lions: Les inéquations en mécanique et en physique.Dunod, Paris 1972. MR 0464857 |
| . |
