A refined quasi-3D theory for stability and dynamic investigation of cross-ply laminated composite plates on Winkler-Pasternak foundation

Nasrine Belbachir , Fouad Bourada , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Mohamed A. Al-Osta , Mofareh Hassan Ghazwani , Ali Alnujaie , Abdeldjebbar Tounsi

Abstract

The current paper discusses the dynamic and stability responses of cross-ply composite laminated plates by employing a refined quasi-3D trigonometric shear deformation theory. The proposed theory takes into consideration shear deformation and thickness stretching by a trigonometric variation of in-plane and transverse displacements through the plate thickness and assures the vanished shear stresses conditions on the upper and lower surfaces of the plate. The strong point of the new formulation is that the displacements field contains only 4 unknowns, which is less than the other shear deformation theories. In addition, the present model considers the thickness extension effects (ez=/0). The presence of the Winkler-Pasternak elastic base is included in the mathematical formulation. The Hamilton's principle is utilized in order to derive the four differentials' equations of motion, which are solved via Navier's technique of simply supported structures. The accuracy of the present 3-D theory is demonstrated by comparing fundamental frequencies and critical buckling loads numerical results with those provided using other models available in the open literature.

Key Words

buckling; dynamic response; Hamilton

Address

Nasrine Belbachir — Civil Engineering Department, Faculty of Science and Technology, Abdelhamid Ibn Badis University, Mostaganem, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-Échelle, Université de Sidi Bel Abbés, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM,31261 Dhahran, Saudi Arabia
Mohamed A. Al-Osta — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM,31261 Dhahran, Saudi Arabia
Mofareh Hassan Ghazwani — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia
Ali Alnujaie — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia
Abdeldjebbar Tounsi — Industrial Engineering and Sustainable Development Laboratory, Faculty of Science & Technology, Mechanical Engineering Department, University of Relizane, Algeria

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