The usual linear plate model deduced from the nonlinear three-dimensional elasticity

被引：3

作者：

Cimetiere, A ^{[1
]}

Hamdouni, A

Millet, O

机构：

[1] Univ Poitiers, L3MA, Futuroscope, France

[2] ENSMA, SP2MI Teleport 2, Futuroscope, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 03期

关键词：

nonlinear elasticity; plate theory; Kirchhoff-Love model; asymptotic method;

D O I：

10.1016/S1251-8069(99)89002-2

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A new justification of the two-dimensional linear Kirchhoff-Love plate model is given by asymptotic expansion of the nonlinear equilibrium equations. For weak level forces, the asymptotic analysis leads to the two-dimensional linear Kirchhoff-Love model, whereas for moderate level forces, it leads to the usual nonlinear two-dimensional plate model. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：159 / 162

页数：4

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