| Title:
|
On numerical solution of weight minimization of elastic bodies weakly supporting tension (English) |
| Author:
|
Kočandrle, Petr |
| Author:
|
Rybníček, Petr |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
21-31 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its weight and to the hydrostatic pressure. A part of the boundary has to be found so as to minimize a given cost functional. The numerical realization using a penalty method and finite element technique is presented. Some typical results are shown. (English) |
| Keyword:
|
shape optimization |
| Keyword:
|
weight minimization |
| Keyword:
|
penalty method |
| Keyword:
|
masonry-like materials |
| Keyword:
|
finite elements |
| MSC:
|
65K10 |
| MSC:
|
65N30 |
| MSC:
|
73C99 |
| MSC:
|
74B99 |
| MSC:
|
74P99 |
| idZBL:
|
Zbl 0824.73043 |
| idMR:
|
MR1305646 |
| DOI:
|
10.21136/AM.1995.134275 |
| . |
| Date available:
|
2009-09-22T17:46:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134275 |
| . |
| Reference:
|
[1] I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension I.Appl. Math. 37 (1992), 201–240. MR 1157456 |
| Reference:
|
[2] I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension II. Domains with two curved sides.Appl. Math. 37 (1992), 289–312. MR 1180607 |
| Reference:
|
[3] P. Kočandrle, P. Rybníček: Shape optimization of the body free boundary.Research Report no. 102 07 92, University of West Bohemia, 1992, in Czech. |
| . |
