On the solution of a generalized system of von Kármán equations
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 437-448
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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.
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.
DOI : 10.21136/AM.1981.103934
Classification : 35J05, 35J60, 35J65, 73K12, 74B20, 74K20
Keywords: existence of solution; nonlinear relation between intensity of stresses and deformations
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Kačur, Jozef. On the solution of a generalized system of von Kármán equations. Applications of Mathematics, Tome 26 (1981) no. 6, pp. 437-448. doi: 10.21136/AM.1981.103934

[1] Ю.Р. Лепик: Равновесие гибких упруго-пластических пластинок при больших прогибах. Инжинерный сборник, том XX, 1956, 37-51. | Zbl

[2] Н. Ф. Ершов: Об упруго-пластическом изгибе пластинок при больших прогибах. Строительная механика и расчет сооружений. Н.-З, 1962. | Zbl

[3] О. John J. Nečas: On the solvability of von Kármán equations. Aplikace matematiky 20 (1975), 48-62, | MR

[4] I. Hlaváček J. Naumann: Inhomogeneous boundary value problems for the von Kármán equations, I. Aplikace matematiky 19 (1974), 253-269. | MR

[5] J. Franců: On Signorini problem for von Kármán equations (The case of angular domain). Aplikace matematiky 24 (1979), 355 - 371. | MR | Zbl

[6] G. H. Knightly: An existence theorem for the von Kármán equations. Arch. Rat. Mech. Anal., (1967), 233-242. | MR | Zbl

[7] И. В. Скрыпник: Нелинейные еллщтгические уравнения высшего порядка. ,Наукова думка", Киев 1973. | Zbl

[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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