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Steel and Composite Structures Volume 33, Number 1, October10 2019 , pages 81-92 DOI: https://doi.org/10.12989/scs.2019.33.1.081 |
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Bending analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings |
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Nasrine Belbachir, Kada Draich, Abdelmoumen Anis Bousahla, Mohamed Bourada, Abdelouahed Tounsi and M. Mohammadimehr
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| Abstract | ||
| The present paper addresses a refined plate theoryin order to describe the response of anti-symmetric cross-ply laminated plates subjected to a uniformlydistributed nonlinear thermo-mechanical loading. In the present theory, the undetermined integral terms are used and the variables number 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 isavoided. 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 stressesare compared with those of classical, first-order, higher-order and trigonometricshear theories reported in the literature. | ||
| Key Words | ||
| anti-symmetric laminated plates; nonlinear thermo-mechanical loading; displacements; stresses | ||
| Address | ||
| (1) Nasrine Belbachir, Kada Draich, Abdelmoumen Anis Bousahla, Mohamed Bourada, Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; (2) Kada Draich: Département de Génie Civil, Université Ibn Khaldoun Tiaret, BP 78Zaaroura, 1400 Tiaret, Algérie; (3) Abdelmoumen Anis Bousahla: Centre Universitaire Ahmed Zabana de Relizane, Algeria. (4) Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; (5) M. Mohammadimehr: Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, P.O. Box 87317-51167, Kashan, Iran. | ||