| Title:
|
Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone (English) |
| Author:
|
Tran, Van Bon |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
5 |
| Year:
|
1986 |
| Pages:
|
345-364 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Dual finite element analysis of the contact problem of two elastic bodies with an enlarging contact zone is presented. Approximations of the solution are defined on two types of triangulations by piecewise constant stress fields. Convergence is proved in both cases. (English) |
| Keyword:
|
dual finite element analysis |
| Keyword:
|
enlarging contact zone |
| Keyword:
|
without friction |
| Keyword:
|
triangulations |
| Keyword:
|
piecewise constant stress fields |
| Keyword:
|
convergence |
| MSC:
|
65N30 |
| MSC:
|
73C99 |
| MSC:
|
73T05 |
| MSC:
|
74A55 |
| MSC:
|
74M15 |
| MSC:
|
74S30 |
| MSC:
|
74S99 |
| idZBL:
|
Zbl 0608.73115 |
| idMR:
|
MR0863031 |
| DOI:
|
10.21136/AM.1986.104213 |
| . |
| Date available:
|
2008-05-20T18:30:37Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104213 |
| . |
| Reference:
|
[1] J. Haslinger I. Hlaváček: Contact between elastic bodies I. Continuous problem.Apl. Mat. 25 (1980), 324-347. MR 0590487 |
| Reference:
|
[1b] J. Haslinger I. Hlaváček: Contact between elastic bodies II. Finite element analysis.Apl. Mat. 26 (1981), 263 - 290. MR 0623506 |
| Reference:
|
[1c] J. Haslinger I. Hlaváček: Contact between elastic bodies III. Dual finite element analysis.Apl. Mat. 26 (1981), 321 - 344. MR 0631752 |
| Reference:
|
[2] J. Haslinger I. Hlaváček: Contact between elastic perfectly plastic bodies.Apl. Mat. 27 (1982), 27-45. MR 0640138 |
| Reference:
|
[3] J. Céa: Optimisation, théorie et algorithmes.Dunod, Paris 1971. MR 0298892 |
| Reference:
|
[4] I. Hlaváček M. Křížek: Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundary.Apl. Mat. 29 (1984), 52-69. MR 0729953 |
| Reference:
|
[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
| . |
