Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory

Nasrine Belbachir , Mohamed Bourada , Kada Draiche , Abdelouahed Tounsi , Fouad Bourada , Abdelmoumen Anis Bousahla , S.R. Mahmoud

Abstract

This article deals with the flexural analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal loading using a refined plate theory with four variables. In this theory, the undetermined integral terms are used and the number of variables is reduced to four, instead of five or more in other higher-order theories. The boundary conditions on the top and the bottom surfaces of the plate are satisfied; hence the use of the transverse shear correction factors is avoided. The principle of virtual work is used to obtain governing equations and boundary conditions. Navier solution for simply supported plates is used to derive analytical solutions. For the validation of the present theory, numerical results for displacements and stresses are compared with those of classical, first-order, higher-order and trigonometric shear theories reported in the literature.

Key Words

refined plate theory; flexural analysis; nonlinear thermal loading; cross-ply laminated plates

Address

(1) Nasrine Belbachir, Mohamed Bourada, Kada Draiche, Abdelouahed Tounsi, Fouad Bourada — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
(2) Kada Draiche — Département de Génie Civil, Université Ibn Khaldoun Tiaret, BP 78 Zaaroura, 1400 Tiaret, Algérie
(3) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
(4) Fouad Bourada — Département des Sciences et de la Technologie, Centre Universitaire de Tissemsilt, BP 38004 Ben Hamouda, Algérie
(5) Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
(6) Abdelmoumen Anis Bousahla — Centre Universitaire de Relizane, Algérie
(7) S.R. Mahmoud — GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia.

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