Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations

Curved and Layered Structures

Radwan Ahmed F.¹  Zenkour Ashraf M.² 

[1] Department of Mathematics and Statistics, High Institute of Management and Information Technology, Nile for Science and Technology,Kafrelsheikh33514, Egypt;Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203,Jeddah21589, Saudi Arabia;

关键词: trigonometric plate theory;    exponentially graded;    elastic foundations;   

DOI  :  10.1515/cls-2018-0011

来源: DOAJ

【 摘 要 】

This paper deals with the bending analysis of exponentially graded material (EGM) plates resting on two-parameter elastic foundations according to a trigonometric shear deformation plate theory (TPT) using Navier’s technique. The normal and shear deformations are both includes. The present TPT does not need a shear correction factors. The material properties of plate like, Lamé’s coefficients convert exponentially in a given constant orientation. The equilibrium equations according to the EG plate resting on Pasternak foundations are presented. Numerical results for the EG thick plate on elastic foundations are presented. A good comparison of results with those being in the literature. The influences played by Winkler and Pasternak parameters, side-to-thickness ratio, inhomogeneity parameter and aspect ratio on the bending responses of EG plates are debated.

【 授权许可】

Unknown