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A new simple shear and normal deformations theory for functionally graded beams
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 Title & Authors
A new simple shear and normal deformations theory for functionally graded beams
Bourada, Mohamed; Kaci, Abdelhakim; Houari, Mohammed Sid Ahmed; Tounsi, Abdelouahed;
 Abstract
In the present work, a simple and refined trigonometric higher-order beam theory is developed for bending and vibration of functionally graded beams. The beauty of this theory is that, in addition to modeling the displacement field with only 3 unknowns as in Timoshenko beam theory, the thickness stretching effect () is also included in the present theory. Thus, the present refined beam theory has fewer number of unknowns and equations of motion than the other shear and normal deformations theories, and it considers also the transverse shear deformation effects without requiring shear correction factors. The neutral surface position for such beams in which the material properties vary in the thickness direction is determined. Based on the present refined trigonometric higher-order beam theory and the neutral surface concept, the equations of motion are derived from Hamilton`s principle. Numerical results of the present theory are compared with other theories to show the effect of the inclusion of transverse normal strain on the deflections and stresses.
 Keywords
functionally graded beam;a simple third-unknown theory;normal strain;neutral surface position;
 Language
English
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100.
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Theoretical and finite element studies of interfacial stresses in reinforced concrete beams strengthened by externally FRP laminates plate, Journal of Adhesion Science and Technology, 2016, 30, 12, 1253  crossref(new windwow)
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Further investigation of the body torques on a square solar sail due to the displacement of the sail attachment points, Aerospace Science and Technology, 2016, 50, 281  crossref(new windwow)
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A simple shear deformation theory based on neutral surface position for functionally graded plates resting on Pasternak elastic foundations, Structural Engineering and Mechanics, 2015, 53, 6, 1215  crossref(new windwow)
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Nonlinear vibration of FGM doubly curved panels resting on elastic foundations in thermal environments, Aerospace Science and Technology, 2015, 47, 434  crossref(new windwow)
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An efficient shear deformation theory for wave propagation of functionally graded material plates, Structural Engineering and Mechanics, 2016, 57, 5, 837  crossref(new windwow)
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Free vibration analysis of pre-stressed FGM Timoshenko beams under large transverse deflection by a variational method, Engineering Science and Technology, an International Journal, 2016, 19, 2, 1003  crossref(new windwow)
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Dynamic behavior of FGM beam using a new first shear deformation theory, Earthquakes and Structures, 2016, 10, 2, 451  crossref(new windwow)
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Buckling and free vibration of shallow curved micro/nano-beam based on strain gradient theory under thermal loading with temperature-dependent properties, Applied Physics A, 2017, 123, 1  crossref(new windwow)
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Nonlinear Flexural Analysis of Laminated Composite Panel Under Hygro-Thermo-Mechanical Loading — A Micromechanical Approach, International Journal of Computational Methods, 2016, 13, 03, 1650015  crossref(new windwow)
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A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates, Steel and Composite Structures, 2016, 22, 2, 257  crossref(new windwow)
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