A new nonlocal HSDT for analysis of stability of single layer graphene sheet

Abed Bouadi , Abdelmoumen Anis Bousahla , Mohammed Sid Ahmed Houari , Houari Heireche , Abdelouahed Tounsi

Abstract

A new nonlocal higher order shear deformation theory (HSDT) is developed for buckling properties of single graphene sheet. The proposed nonlocal HSDT contains a new displacement field which incorporates undetermined integral terms and contains only two variables. The length scale parameter is considered in the present formulation by employing the nonlocal differential constitutive relations of Eringen. Closed-form solutions for critical buckling forces of the graphene sheets are obtained. Nonlocal elasticity theories are used to bring out the small scale influence on the critical buckling force of graphene sheets. Influences of length scale parameter, length, thickness of the graphene sheets and shear deformation on the critical buckling force have been examined.

Key Words

buckling; graphene sheets; nonlocal elasticity; HSDT

Address

(1) Abed Bouadi, Abdelmoumen Anis Bousahla — Centre Universitaire de Relizane, Algérie
(2) Abed Bouadi, Abdelmoumen Anis Bousahla, 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
(3) Mohammed Sid Ahmed Houari, Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
(4) Mohammed Sid Ahmed Houari — Université Mustapha Stambouli de Mascara, Department of Civil Engineering, Mascara, Algeria
(5) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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