On the simple and mixed first-order theories for plates resting on elastic foundations

被引：0
作者：
A. M. Zenkour
M. N. M. Allam
M. O. Shaker
A. F. Radwan
机构：
[1] King Abdul Aziz University,Department of Mathematics, Faculty of Science
[2] Kafrelsheikh University,Department of Mathematics, Faculty of Science
[3] Mansoura University,Department of Mathematics, Faculty of Science
[4] Tanta University,Department of Mathematics, Faculty of Science
来源：
Acta Mechanica | 2011年 / 220卷
关键词：
Elastic Foundation; Shear Deformation Theory; Orthotropic Plate; Transverse Shear Stress; Shear Correction Factor;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article investigates the bending response of an orthotropic rectangular plate resting on two-parameter elastic foundations. Analytical solutions for deflection and stresses are developed by means of the simple and mixed first-order shear deformation plate theories. The present mixed plate theory accounts for variable transverse shear stress distributions through the thickness and does not require a shear correction factor. The governing equations that include the interaction between the plate and the foundations are obtained. Numerical results are presented to demonstrate the behavior of the system. The results are compared with those obtained in the literature using three-dimensional elasticity theory or higher-order shear deformation plate theory to check the accuracy of the simple and mixed first-order shear deformation theories.
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页码：33 / 46
页数：13
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