Generalized von Karman equations

被引:8
|
作者
Ciarlet, PG
Gratie, L
机构
[1] Univ Paris 06, Anal Numer Lab, F-75005 Paris, France
[2] Univ Dunarea de Jos, Fac Ingn Braila, Braila 6100, Romania
来源
关键词
D O I
10.1016/S0021-7824(00)01198-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In a previous work, the first author has identified three-dimensional boundary conditions "of von Karman's type" that lead, through a formal asymptotic analysis of the three-dimensional solution, to the classical von Karman equations, when they are applied to the entire lateral face of a nonlinearly elastic plate, In this paper, we consider the more general situation where only a portion of the lateral face is subjected to boundary conditions of von Karman's type, while the remaining portion is subjected to boundary conditions of free edge. We then show that the asymptotic analysis of the three-dimensional solution still leads in this case to a two-dimensional boundary value problem that is analogous to, but is more general than, the von Karman equations. In particular, it is remarkable that the boundary conditions for the Airy function can still be determined solely from the data. (C) 2001 Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:263 / 279
页数:17
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