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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:
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.


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