A new HSDT for buckling and free vibration behavior of cross-ply laminated composite plates resting on elastic foundation

Nasrine Belbachir , Abdelouahed Tounsi , Mohammed A. Al-Osta

Abstract

This research paper deals with the analysis of buckling and free vibration of cross-ply laminated composite plates on elastic foundations. A refined plate theory based on the undetermined integrals terms is presented, which leads to reducing the unknown number to four instead of five or more unknowns used in the other theories. In the current theory, a function of shear with a hyperbolic form is employed, so the parabolic transverse shear stresses variation through the plate's thickness is obtained, and the zero shear stress conditions at the plate's top and bottom surfaces are satisfied. Therefore, the present formulation does not need shear correction factors. Pasternak elastic foundation mathematical model is considered in the formulation. The motion equations are determined using the virtual work principle, and the Navier approach is utilized to obtain the closed form solutions of cross-ply laminated plates. The fundamental frequencies and buckling loads are predicted by determining the eigenvalue problem. The present results are discussed and validated with results predicted using other previously published models.

Key Words

buckling; cross-ply laminated plates; elastic foundation; free vibration

Address

Nasrine Belbachir — 1) Civil Engineering Department, Faculty of Sciences and Technology, Abdelhamid Ibn Badis University, Mostaganem, Algeria, 2) Material and Hydrology Laboratory, Engineering Department, Faculty of Technology, Civil University of SidiBel Abbes, Algeria
Abdelouahed Tounsi — 1) Material and Hydrology Laboratory, Engineering Department, Faculty of Technology, Civil University of SidiBel Abbes, Algeria, 2) YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea, 3) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mohammed A. Al-Osta — 1) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia, 2) Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia

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