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Steel and Composite Structures Volume 28, Number 1, July10 2018 , pages 13-24 DOI: https://doi.org/10.12989/scs.2018.28.1.013 |
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Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter |
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Mohammed Sid Ahmed Houari, Aicha Bessaim, Fabrice Bernard, Abdelouahed Tounsi and S.R. Mahmoud
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| Abstract | ||
| A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (εz ≠ 0) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory. | ||
| Key Words | ||
| new hyperbolic shear theory; nonlocal strain gradient elasticity; stretching effect; buckling analysis | ||
| Address | ||
| (1) Mohammed Sid Ahmed Houari, Aicha Bessaim, Abdelouahed Tounsi: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, Département de génie civil, Algeria; (2) Mohammed Sid Ahmed Houari, Aicha Bessaim: Département de génie civil, Faculté des Sciences et de la Technologie, Université de Mascara, Route de Mamounia 29000 Mascara, Algérie; (3) Mohammed Sid Ahmed Houari, Aicha Bessaim, Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (4) Fabrice Bernard: Université Européenne de Bretagne, INSA Rennes, LGCGM, 20 avenue des Buttes de coësmes 35708 Rennes Cedex 7, France; (5) Abdelouahed Tounsi: Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia; (6) Abdelouahed Tounsi: Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria; (7) S.R. Mahmoud: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia. | ||