Vol. 7, No. 7, 2012

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Hygrothermal analysis of exponentially graded rectangular plates

Ashraf M. Zenkour

Vol. 7 (2012), No. 7, 687–700

The static characteristics of an exponentially inhomogeneous plate under a transverse uniform loading and exposed to hygrothermal conditions are studied. The elastic coefficients, thermal coefficient and moisture expansion coefficient of the plate are assumed to be exponentially graded in the thickness direction. The trigonometric shear deformation theory solution is presented. In this solution, the initial terms of a power series through the plate thickness are used for the displacements in addition to other trigonometric terms. The effect due to transverse shear deformations is included. A number of examples will be solved to illustrate the numerical results concerning bending response of homogeneous and exponentially graded rectangular plates subjected to hygrothermomechanical effects. The influences of temperature, moisture concentration, transverse shear deformation, plate aspect ratio, and the exponentially graded parameter on the bending response are investigated.

hygrothermal conditions, rectangular plate, exponentially graded
Received: 16 March 2012
Revised: 9 July 2012
Accepted: 10 July 2012
Published: 4 January 2013
Ashraf M. Zenkour
Mathematics Department
King Abdulaziz University
Faculty of Science
P.O. Box 80203
Jeddah 21589
Saudi Arabia
Department of Mathematics
Faculty of Science
Kafrelsheikh University
Kafr El-Sheikh 33516