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A new nonlocal HSDT for analysis of stability of single layer graphene sheet
Bouadi, Abed,Bousahla, Abdelmoumen Anis,Houari, Mohammed Sid Ahmed,Heireche, Houari,Tounsi, Abdelouahed Techno-Press 2018 Advances in nano research Vol.6 No.2
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.
Buckling behavior of rectangular plates under uniaxial and biaxial compression
Mohamed Bourada,Abed Bouadi,Abdelmoumen Anis Bousahla,Amel Senouci,Fouad Bourada,Abdelouahed Tounsi,S. R. Mahmoud 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.70 No.1
In the classical stability investigation of rectangular plates the classical thin plate theory (CPT) is often employed, so omitting the transverse shear deformation effect. It seems quite clear that this procedure is not totally appropriate for the investigation of moderately thick plates, so that in the following the first shear deformation theory proposed by Meksi et al. (2015), that permits to consider the transverse shear deformation influences, is used for the stability investigation of simply supported isotropic rectangular plates subjected to uni-axial and bi-axial compression loading. The obtained results are compared with those of CPT and, for rectangular plates under uniaxial compression, a novel direct formula, similar to the conventional Bryan’s expression, is found for the Euler stability stress. The accuracy of the present model is also ascertained by comparing it, with model proposed by Piscopo (2010).
Investigation of the mechanical behavior of functionally graded sandwich thick beams
Fethi Mouaici,Abed Bouadi,Mohamed Bendaida,Kada Draiche,Abdelmoumen Anis Bousahla,Fouad Bourada,Abdelouahed Tounsi,Mofareh Hassan Ghazwani,Ali Alnujaie 국제구조공학회 2022 Steel and Composite Structures, An International J Vol.44 No.5
In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton’s principle and solved by means of the Navier’s technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.