| Title:
|
On the solution of a generalized system of von Kármán equations (English) |
| Author:
|
Kačur, Jozef |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
6 |
| Year:
|
1981 |
| Pages:
|
437-448 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
A nonlinear system of equations generalizing von Kármán equations is studied. The existence of a solution is proved and the relation between the solutions of the considered system and the solutions of von Kármán system is studied. The system considered is derived in a former paper by Lepig under the assumption of a nonlinear relation between the intensity of stresses and deformations in the constitutive law. (English) |
| Keyword:
|
existence of solution |
| Keyword:
|
nonlinear relation between intensity of stresses and deformations |
| MSC:
|
35J05 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
73K12 |
| MSC:
|
74B20 |
| MSC:
|
74K20 |
| idZBL:
|
Zbl 0478.73032 |
| idMR:
|
MR0634281 |
| DOI:
|
10.21136/AM.1981.103934 |
| . |
| Date available:
|
2008-05-20T18:17:58Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103934 |
| . |
| Reference:
|
[1] Ю.Р. Лепик: Равновесие гибких упруго-пластических пластинок при больших прогибах.Инжинерный сборник, том XX, 1956, 37-51. Zbl 0995.90522 |
| Reference:
|
[2] Н. Ф. Ершов: Об упруго-пластическом изгибе пластинок при больших прогибах.Строительная механика и расчет сооружений. Н.-З, 1962. Zbl 1005.68507 |
| Reference:
|
[3] О. John J. Nečas: On the solvability of von Kármán equations.Aplikace matematiky 20 (1975), 48-62, MR 0380099 |
| Reference:
|
[4] I. Hlaváček J. Naumann: Inhomogeneous boundary value problems for the von Kármán equations, I.Aplikace matematiky 19 (1974), 253-269. MR 0377307 |
| Reference:
|
[5] J. Franců: On Signorini problem for von Kármán equations (The case of angular domain).Aplikace matematiky 24 (1979), 355 - 371. Zbl 0479.73041, MR 0547039 |
| Reference:
|
[6] G. H. Knightly: An existence theorem for the von Kármán equations.Arch. Rat. Mech. Anal., (1967), 233-242. Zbl 0162.56303, MR 0220472 |
| Reference:
|
[7] И. В. Скрыпник: Нелинейные еллщтгические уравнения высшего порядка.,,Наукова думка", Киев 1973. Zbl 1131.90321 |
| Reference:
|
[8] R. Kodnár: Non-linear problems of the orthogonal anisotropic shallow shells.Proceedings of summer school "Theory of nonlinear operators". Abhandlungen der Akademie der Wissenschaften der DDR. N-6, 1977. |
| . |
