A simplified shear and normal deformations nonlocal theory for bending of nanobeams in thermal environment |
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| Institution: | 1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics and Statistics, Faculty of Science, King Faisal University, P.O. Box 400, Hofuf 31982, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt;1. Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156-8311, Iran;2. Faculty of Engineering, University of Isfahan, Isfahan 81746-73441, Iran;1. Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156-8311, Iran;2. Faculty of Engineering, University of Isfahan, Isfahan 81746-73441, Iran;1. Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran;2. Department of Chemical Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran;1. Department of Mechanical Engineering, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran;2. Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar;3. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;1. School of Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia;2. Department of Mechanical and Construction Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;3. Duy Tan University, Da Nang, Viet Nam;4. School of Engineering and Mathematical Sciences, La Trobe University, Bendigo, VIC 3552, Australia |
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| Abstract: | This article presents a simplified three-unknown shear and normal deformations nonlocal beam theory for the bending analysis of nanobeams in thermal environment. Eringen's nonlocal constitutive equations are considered in the analysis. Governing equations are derived according to the present refined theory using Hamilton's principle. Central deflections of nanobeams under uniform and point loads are given and compared with the available ones in the literature. Additional results of displacement and stresses are presented for future comparison. The effects of nonlocality, temperature parameters, length of beam, length-to-depth ratio as well as shear and normal strains are all investigated. |
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| Keywords: | Nonlocal theory Nanobeams Bending Normal deformation |
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