| Title:
|
Shape optimization of elastic axisymmetric bodies (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
225,226-245 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The shape of the meridian curve of an elastic body is optimized within a class of Lipschitz functions. Only axisymmetric mixed boundary value problems are considered. Four different cost functionals are used and approximate piecewise linear solutions defined on the basis of a finite element technique. Some convergence and existence results are derived by means of the theory of the appropriate weighted Sobolev spaces. (English) |
| Keyword:
|
shape of the meridian curve |
| Keyword:
|
class of Lipschitz functions |
| Keyword:
|
axisymmetric mixed boundary value problems |
| Keyword:
|
four different cost functionals |
| Keyword:
|
approximate piecewise linear solutions |
| Keyword:
|
finite element technique |
| Keyword:
|
convergence |
| Keyword:
|
existence |
| Keyword:
|
appropriate weighted Sobolev spaces |
| Keyword:
|
axisymmetric elliptic problems |
| Keyword:
|
body of revolution |
| Keyword:
|
elastic equilibrium |
| MSC:
|
49A22 |
| MSC:
|
49A36 |
| MSC:
|
49J20 |
| MSC:
|
65N30 |
| MSC:
|
65N99 |
| MSC:
|
73k40 |
| MSC:
|
74P99 |
| MSC:
|
74S30 |
| MSC:
|
93B40 |
| idZBL:
|
Zbl 0691.73037 |
| idMR:
|
MR0996898 |
| DOI:
|
10.21136/AM.1989.104350 |
| . |
| Date available:
|
2008-05-20T18:36:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104350 |
| . |
