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Smart Structures and Systems Volume 21, Number 1, January 2018 , pages 015-25 DOI: https://doi.org/10.12989/sss.2018.21.1.015 |
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A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium |
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Miloud Yazid, Houari Heireche, Abdelouahed Tounsi,
Abdelmoumen Anis Bousahla and Mohammed Sid Ahmed Houari
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| Abstract | ||
| This work presents the buckling investigation of embedded orthotropic nanoplates such as graphene by employing a new refined plate theory and nonlocal small-scale effects. The elastic foundation is modeled as two-parameter Pasternak foundation. The proposed two-variable refined plate theory takes account of transverse shear influences and parabolic variation of the transverse shear strains within the thickness of the plate by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. Nonlocal governing equations for the single layered graphene sheet are obtained from the principle of virtual displacements. The proposed theory is compared with other plate theories. Analytical solutions for buckling loads are obtained for single-layered graphene sheets with isotropic and orthotropic properties. The results presented in this study may provide useful guidance for design of orthotropic graphene based nanodevices that make use of the buckling properties of orthotropic nanoplates. | ||
| Key Words | ||
| buckling; orthotropic nanoplates; nonlocal elasticity; Pasternak | ||
| Address | ||
| Miloud Yazid1, Houari Heireche: Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria 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; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; 3Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abdelmoumen Anis Bousahla: Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Centre Universitaire Ahmed Zabana de Relizane, Algeria Mohammed Sid Ahmed Houari: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Université Mustapha Stambouli de Mascara, Department of Civil Engineering, Mascara, Algeria | ||