| Title:
|
A paradox in the theory of linear elasticity (English) |
| Author:
|
Nečas, Jindřich |
| Author:
|
Štípl, Miloš |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
21 |
| Issue:
|
6 |
| Year:
|
1976 |
| Pages:
|
431-433 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1]. (English) |
| Keyword:
|
nonhomogeneous linear elastic medium |
| MSC:
|
74E05 |
| idZBL:
|
Zbl 0398.73013 |
| idMR:
|
MR0423941 |
| DOI:
|
10.21136/AM.1976.103667 |
| . |
| Date available:
|
2008-05-20T18:06:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103667 |
| . |
| Reference:
|
[1] E. De Giorgi: Un essempio di estremali discontinue per un problema variazionele di tipo ellitico.Boll. U. M. I., Vol. I., 1968, 135-137. MR 0227827 |
| Reference:
|
[2] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Praha 1967. MR 0227584 |
| Reference:
|
[3] L. F. Nye: Physical properties of crystals.Oxford 1957. Zbl 0079.22601 |
| . |
