On the solution of a generalized system of von Kármán equations

Jozef Kačur

Aplikace matematiky (1981)

  • Volume: 26, Issue: 6, page 437-448
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Kačur, Jozef. "On the solution of a generalized system of von Kármán equations." Aplikace matematiky 26.6 (1981): 437-448. <http://eudml.org/doc/15215>.

@article{Kačur1981,
abstract = {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.},
author = {Kačur, Jozef},
journal = {Aplikace matematiky},
keywords = {existence of solution; nonlinear relation between intensity of stresses and deformations; existence of solution; nonlinear relation between intensity of stresses and deformations},
language = {eng},
number = {6},
pages = {437-448},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the solution of a generalized system of von Kármán equations},
url = {http://eudml.org/doc/15215},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Kačur, Jozef
TI - On the solution of a generalized system of von Kármán equations
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 6
SP - 437
EP - 448
AB - 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.
LA - eng
KW - existence of solution; nonlinear relation between intensity of stresses and deformations; existence of solution; nonlinear relation between intensity of stresses and deformations
UR - http://eudml.org/doc/15215
ER -

References

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  1. Ю.Р. Лепик, Равновесие гибких упруго-пластических пластинок при больших прогибах, Инжинерный сборник, том XX, 1956, 37-51. (1956) Zbl0995.90522
  2. Н. Ф. Ершов, Об упруго-пластическом изгибе пластинок при больших прогибах, Строительная механика и расчет сооружений. Н.-З, 1962. (1962) Zbl1005.68507
  3. О. John J. Nečas, On the solvability of von Kármán equations, Aplikace matematiky 20 (1975), 48-62, (1975) Zbl0309.35064MR0380099
  4. I. Hlaváček J. Naumann, Inhomogeneous boundary value problems for the von Kármán equations, I, Aplikace matematiky 19 (1974), 253-269. (1974) Zbl0313.35064MR0377307
  5. J. Franců, On Signorini problem for von Kármán equations (The case of angular domain), Aplikace matematiky 24 (1979), 355 - 371. (1979) Zbl0479.73041MR0547039
  6. G. H. Knightly, An existence theorem for the von Kármán equations, Arch. Rat. Mech. Anal., (1967), 233-242. (1967) Zbl0162.56303MR0220472
  7. И. В. Скрыпник, Нелинейные еллщтгические уравнения высшего порядка, ,,Наукова думка", Киев 1973. (1973) Zbl1131.90321
  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. (1977) Zbl0431.35029

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