On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models

被引：47

作者：

Arnold, DN ^{[1
]}

Madureira, AL

Zhang, S

机构：

[1] Univ Minnesota, IMA, Minneapolis, MN 55455 USA

[2] DMA, LNCC, BR-25651070 Petropolis, RJ, Brazil

[3] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

JOURNAL OF ELASTICITY | 2002年 / 67卷 / 03期

基金：

美国国家科学基金会;

关键词：

plate; Kirchhoff-Love; Reissner-Mindlin;

D O I：

10.1023/A:1024986427134

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that the Reissner-Mindlin plate bending model has a wider range of applicability than the Kirchhoff-Love model for the approximation of clamped linearly elastic plates. Under the assumption that the body force density is constant in the transverse direction, the Reissner-Mindlin model solution converges to the three- dimensional linear elasticity solution in the relative energy norm for the full range of surface loads. However, for loads with a significant transverse shear effect, the Kirchhoff - Love model fails.

引用

页码：171 / 185

页数：15

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