| Title:
|
Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material (English) |
| Author:
|
Raoult, Annie |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
6 |
| Year:
|
1986 |
| Pages:
|
417-419 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material is given by means of a simple counter-example. (English) |
| Keyword:
|
non-polyconvexity |
| Keyword:
|
stored energy function |
| Keyword:
|
Saint Venant-Kirchhoff material |
| Keyword:
|
counter-example |
| MSC:
|
73G10 |
| MSC:
|
74B20 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0608.73023 |
| idMR:
|
MR0870478 |
| DOI:
|
10.21136/AM.1986.104220 |
| . |
| Date available:
|
2008-05-20T18:30:56Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104220 |
| . |
| Reference:
|
[1] J. Ball: Convexity conditions and existence theorems in nonlinear elasticity.Arch. Rat. Mech. Anal. 63 (1977), p. 337-403. Zbl 0368.73040, MR 0475169, 10.1007/BF00279992 |
| Reference:
|
[2] P. G. Ciarlet: Lectures on three-dimensional elasticity.Tata Institute Lecture Notes, Springer- Verlag, 1983. Zbl 0542.73046, MR 0730027 |
| Reference:
|
[3] P. G. Ciarlet: Topics in mathematical elasticity, vol. I.North-Holland, Amsterdam, 1985. MR 0936420 |
| Reference:
|
[4] J. Nečas: Introduction to the theory of nonlinear equations.Teubner Texte für Mathematik, Band 52, Leipzig. |
| . |
