| Title:
|
Shape optimization of elasto-plastic axisymmetric bodies (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
6 |
| Year:
|
1991 |
| Pages:
|
469-491 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A minimization of a cost functional with respect to a part of a boundary is considered for an elasto-plastic axisymmetric body obeying Hencky's law. The principle of Haar-Kármán and piecewise linear stress approximations are used to solve the state problem. A convergence result and the existence of an optimal boundary is proved. (English) |
| Keyword:
|
domain optimization |
| Keyword:
|
control of variational inequalities |
| Keyword:
|
Hencky's law of elasto-plasticity |
| MSC:
|
65K10 |
| MSC:
|
65N30 |
| MSC:
|
73E99 |
| MSC:
|
73V25 |
| MSC:
|
73k40 |
| MSC:
|
74B99 |
| MSC:
|
74C99 |
| MSC:
|
74P10 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0756.73094 |
| idMR:
|
MR1134923 |
| DOI:
|
10.21136/AM.1991.104483 |
| . |
| Date available:
|
2008-05-20T18:42:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104483 |
| . |
| Reference:
|
[1] G. Duvaut J. L. Lions: Les inéquations en mécanique et en physique.Paris, Dunod 1972. MR 0464857 |
| Reference:
|
[2] R. Falk B. Mercier: Error estimates for elasto-plastic problems.R.A.I.R.O. Anal. Numér. 11 (1977), 135-144. MR 0449119 |
| Reference:
|
[3] I. Hlaváček: Shape optimization of elasto-plastic bodies obeying Hencky's law.Apl. Mat. 31 (1986), 486-499. Zbl 0616.73081, MR 0870484 |
| Reference:
|
[4] I. Hlaváček: Domain optimization of axisymmetric elliptic boundary value problems by finite elements.Apl. Mat. 33 (1988), 213-244. MR 0944785 |
| Reference:
|
[5] I. Hlaváček: Shape optimization of elastic axisymmetric bodies.Apl. Mat. 34 (1989), 225- -245. MR 0996898 |
| Reference:
|
[6] I. Hlaváček M. Křížek: Dual finite element analysis of 3D-axisymmetric elliptic problems.Numer. Anal. Part. Diff. Eqs. (To appear.) |
| Reference:
|
[7] I. Hlaváček R. Mäkinen: On the numerical solution of axisymmetric domain optimization problems.Appl. Math. 36 (1991), 284-304. MR 1113952 |
| Reference:
|
[8] B. Mercier G. Raugel: Resolution d'un problème aux limites dans un ouvert axisymétrique par élément finis en r, z et séries de Fourier en $\theta$.R.A.I.R.O. Anal. numér. 16 (1982), 405-461. MR 0684832 |
| Reference:
|
[9] O. Pironneau: Optimal Shape Design for Elliptic Systems.Springer-Verlag, New York 1983. MR 0725856 |
| . |
