| Title:
|
Shape optimization of elastoplastic bodies obeying Hencky's law (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
6 |
| Year:
|
1986 |
| Pages:
|
486-499 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A minimization of a cost functional with respect to a part of the boundary, where the body is fixed, is considered. The criterion is defined by an integral of a yield function. The principle of Haar-Kármán and piecewise constant stress approximations are used to solve the state problem. A convergence result and the existence of an optimal boundary is proved. (English) |
| Keyword:
|
optimal design |
| Keyword:
|
shape optimization |
| Keyword:
|
two dimensional elasto-plastic bodies |
| Keyword:
|
Hencky’s law |
| Keyword:
|
minimum of cost functional |
| Keyword:
|
convergence |
| Keyword:
|
existence of an optimal boundary |
| Keyword:
|
variational inequality |
| MSC:
|
49A27 |
| MSC:
|
49J40 |
| MSC:
|
65K10 |
| MSC:
|
65N30 |
| MSC:
|
73E99 |
| MSC:
|
73k40 |
| MSC:
|
74P99 |
| MSC:
|
74S05 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0616.73081 |
| idMR:
|
MR0870484 |
| DOI:
|
10.21136/AM.1986.104226 |
| . |
| Date available:
|
2008-05-20T18:31:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104226 |
| . |
| Reference:
|
[1] D. Bégis R. Glowinski: Application de la méthode des élements finis à l'approximation d'un problème de domaine optimal.Appl. Math. & Optimization, Vol. 2, 1975, 130-169. MR 0443372, 10.1007/BF01447854 |
| Reference:
|
[2] G. Duvaut J. L. Lions: Les inéquations en mécanique et en physique.Paris, Dunod 1972. MR 0464857 |
| Reference:
|
[3] R. Falk B. Mercier: Estimation d'erreur en élasto-plasticité.C.R. Acad. Sc. Paris, 282, A, (1976), 645-648. MR 0426575 |
| Reference:
|
[4] R. Falk B. Mercier: Error estimates for elasto-plastic problems.R.A.I.R.O. Anal. Numer., 11 (1977), 135-144. MR 0449119 |
| Reference:
|
[5] I. Hlaváček: A finite element analysis for elasto-plastic bodies obeying Hencky's law.Appl. Mat. 26 (1981), 449-461. Zbl 0467.73096, MR 0634282 |
| Reference:
|
[6] B. Mercier: Sur la théorie et l'analyse numérique de problèmes de plasticité.Thesis, Université Paris VI, 1977. MR 0502686 |
| Reference:
|
[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
| . |
