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
收藏
页码：171 / 185
页数：15
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