A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates |
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| Authors: | Abdelouahed Tounsi Mohammed Sid Ahmed Houari Samir Benyoucef El Abbas Adda Bedia |
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| Institution: | 1. Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M?hidi, 22000 Sidi Bel Abbes, Algeria;2. Département de génie civil, Faculté des Sciences de l?Ingénieur, Université Sidi Bel Abbes, Algeria;3. Département de génie civil, Université de Mascaraa, Algeria;1. Liaoning Key Laboratory of General Aviation, Shenyang Aerospace University, No. 37, Daoyi South Avenue, Shenyang, Liaoning 110136, People’s Republic of China;2. AVIC Shenyang Engine Design and Research Institute, Shenyang, Liaoning 110015, People’s Republic of China;3. College of Life and Chemistry, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China;1. Science and Technology on Inertial Laboratory, Beijing, 100191, PR China;2. Research Institute of Frontier Science, Beihang University, Beijing, 100191, PR China;3. School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, 100191, PR China;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;1. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;2. Faculty of Civil Engineering and Applied Mechanics, University of Technical Education Ho Chi Minh City, 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;4. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, Korea;1. Arch & Civil Engg. Division, Bhabha Atomic Research Centre, Mumbai 400 085, India;2. Department of Civil Engg., Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India;3. CSS, Reactor Safety Division, Bhabha Atomic Research Centre, Mumbai 400 085, India |
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| Abstract: | A refined trigonometric shear deformation theory (RTSDT) taking into account transverse shear deformation effects is presented for the thermoelastic bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, does not require shear correction factor, the displacement components are expressed by trigonometric series representation through the plate thickness to develop a two-dimensional theory and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The sandwich with homogeneous facesheet and FGM core is considered. Material properties of the present FGM core are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The influences played by the transverse shear deformation, thermal load, plate aspect ratio, and volume fraction distribution are studied. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded plates. |
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