24. Bending of symmetric cross-ply multilayered plates in hygrothermal environments

Ashraf M. Zenkour1, Rabab A. Alghanmi2

1Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia

1Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

2Department of Mathematics, College of Science and Art, King Abdulaziz University,
Rabigh 21911, Saudi Arabia

1Corresponding author

E-mail: 1zenkour@kau.edu.sa, 1zenkour@sci.kfs.edu.eg, 2alharbiah2008@hotmail.com

Received 14 July 2016; accepted 18 July 2016

DOI https://doi.org/10.21595/mme.2016.17405

Abstract. The bending analysis of symmetric cross-ply laminated plates in a hygrothermal environment is presented. The sinusoidal shear deformation plate theory is used for this purpose. It enables the trial and testing of different through-the-thickness transverse shear-deformation distributions and, among them, strain distributions that do not involve the undesirable implications of the transverse shear correction factors. The governing differential equations for the bending of laminated plates are obtained using various plate theories. Displacement functions that identically satisfy boundary conditions are used to reduce the governing equations to a set of coupled ordinary differential equations with variable coefficients. Numerical results for deflection and stresses are presented. The effect of different types of sinusoidal hygrothermal/thermal loadings is investigated. The influence various parameters such as material anisotropy, aspect ratio, side‑to‑thickness ratio, thermal expansion coefficients ratio and stacking sequence on the hygrothermally induced response is also investigated. A concluding remark is made.

Keywords: hygrothermal/thermal loadings, unified theory, laminated plates.

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Cite this article

Zenkour Ashraf M., Alghanmi Rabab A. Bending of symmetric cross‑ply multilayered plates in hygrothermal environments. Mathematical Models in Engineering, Vol. 2, Issue 2, 2016, p. 94‑107.

 

Mathematical Models in Engineering. December 2016, Volume 2, Issue 2

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