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Miloud Yazid,Houari Heireche,Abdelouahed Tounsi,Abdelmoumen Anis Bousahla,Mohammed Sid Ahmed Houari 국제구조공학회 2018 Smart Structures and Systems, An International Jou Vol.21 No.1
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.
Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT
Semmah, Abdelwahed,Heireche, Houari,Bousahla, Abdelmoumen Anis,Tounsi, Abdelouahed Techno-Press 2019 Advances in nano research Vol.7 No.2
In this work, the thermal buckling characteristics of zigzag single-walled boron nitride (SWBNNT) embedded in a one-parameter elastic medium modeled as Winkler-type foundation are investigated using a nonlocal first-order shear deformation theory (NFSDT). This model can take into account the small scale effect as well as the transverse shear deformation effects of nanotubes. A closed-form solution for nondimensional critical buckling temperature is obtained in this investigation. Further the effect of nonlocal parameter, Winkler elastic foundation modulus, the ratio of the length to the diameter, the transverse shear deformation and rotary inertia on the critical buckling temperature are being investigated and discussed. The results presented in this paper can provide useful guidance for the study and design of the next generation of nanodevices that make use of the thermal buckling properties of boron nitride nanotubes.
Yazid, Miloud,Heireche, Houari,Tounsi, Abdelouahed,Bousahla, Abdelmoumen Anis,Houari, Mohammed Sid Ahmed Techno-Press 2018 Smart Structures and Systems, An International Jou Vol.21 No.1
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.
Mokhtar, Youcef,Heireche, Houari,Bousahla, Abdelmoumen Anis,Houari, Mohammed Sid Ahmed,Tounsi, Abdelouahed,Mahmoud, S.R. Techno-Press 2018 Smart Structures and Systems, An International Jou Vol.21 No.4
In this paper, a novel simple shear deformation theory for buckling analysis of single layer graphene sheet is formulated using the nonlocal differential constitutive relations of Eringen. The present theory involves only three unknown and three governing equation as in the classical plate theory, but it is capable of accurately capturing shear deformation effects, instead of five as in the well-known first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). A shear correction factor is, therefore, not required. Nonlocal elasticity theory is employed to investigate effects of small scale on buckling of the rectangular nano-plate. The equations of motion of the nonlocal theories are derived and solved via Navier's procedure for all edges simply supported boundary conditions. The results are verified with the known results in the literature. The influences played by Effects of nonlocal parameter, length, thickness of the graphene sheets and shear deformation effect on the critical buckling load are studied. Verification studies show that the proposed theory is not only accurate and simple in solving the buckling nanoplates, but also comparable with the other higher-order shear deformation theories which contain more number of unknowns.
Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity
Chemi, Awda,Heireche, Houari,Zidour, Mohamed,Rakrak, Kaddour,Bousahla, Abdelmoumen Anis Techno-Press 2015 Advances in nano research Vol.3 No.4
The present paper investigate the elastic buckling of chiral double-walled carbon nanotubes (DWCNTs) under axial compression. Using the non-local elasticity theory, Timoshenko beam model has been implemented. According to the governing equations of non-local theory, the analytical solution is derived and the solution for non-local critical buckling loads is obtained. The numerical results show the influence of non-local small-scale coefficient, the vibrational mode number, the chirality of carbon nanotube and aspect ratio of the (DWCNTs) on non-local critical buckling loads of the (DWCNTs). The results indicate the dependence of non-local critical buckling loads on the chirality of single-walled carbon nanotube with increase the non-local small-scale coefficient, the vibrational mode number and aspect ratio of length to diameter.
Besseghier, Abderrahmane,Heireche, Houari,Bousahla, Abdelmoumen Anis,Tounsi, Abdelouahed,Benzair, Abdelnour Techno-Press 2015 Advances in nano research Vol.3 No.1
In the current study, the nonlinear vibration properties of an embedded zigzag single-walled carbon nanotube (SWCNT) are investigated. Winkler-type model is used to simulate the interaction of the zigzag SWCNTs with a surrounding elastic medium. The relation between deflection amplitudes and resonant frequencies of the SWCNT is derived through harmonic balance method. The equivalent Young's modulus and shear modulus for zigzag SWCNT are derived using an energy-equivalent model. The amplitude - frequency curves for large-amplitude vibrations are graphically illustrated. The simulation results show that the chirality of zigzag carbon nanolube as well as surrounding elastic medium play more important roles in the nonlinear vibration of the single-walled carbon nanotubes.
Abdelouahed Tounsi,Abdelbaki Chikh,Houari Heireche,Mohammed Sid Ahmed Houari,E.A. Adda Bedia,Ahmed Bakora 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.57 No.4
In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.
Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory
Rakrak, Kaddour,Zidour, Mohamed,Heireche, Houari,Bousahla, Abdelmoumen Anis,Chemi, Awda Techno-Press 2016 Advances in nano research Vol.4 No.1
This article is concerned with the free vibration problem for chiral double-walled carbon nanotube (DWCNTs) modelled using the non-local elasticity theory and Euler Bernoulli beam model. According to the governing equations of non-local Euler Bernoulli beam theory and the boundary conditions, the analytical solution is derived and two branches of transverse wave propagating are obtained. The numerical results obtained provide better representations of the vibration behaviour of double-walled carbon nanotube, where the aspect ratio of the (DWCNTs), the vibrational mode number, the small-scale coefficient and chirality of double-walled carbon nanotube on the frequency ratio (${\chi}^N$) of the (DWCNTs) are significant. In this work, the numerical results obtained can be used to predict and prevent the phenomenon of resonance for the forced vibration analyses of double -walled carbon nanotubes.
Moussa Bellal,Habib Hebali,Houari Heireche,Abdelmoumen Anis Bousahla,Abdeldjebbar Tounsi,Fouad Bourada,S.R. Mahmoud,E.A. Adda Bedia,Abdelouahed Tounsi 국제구조공학회 2020 Steel and Composite Structures, An International J Vol.34 No.5
In the present work, the buckling behavior of a single-layered graphene sheet (SLGS) embedded in visco-Pasternak’s medium is studied using nonlocal four-unknown integral model. This model has a displacement field with integral terms which includes the effect of transverse shear deformation without using shear correction factors. The visco-Pasternak’s medium is introduced by considering the damping effect to the classical foundation model which modeled by the linear Winkler’s coefficient and Pasternak’s (shear) foundation coefficient. The SLGS under consideration is subjected to compressive in- plane edge loads per unit length. The influences of many parameters such as nonlocal parameter, geometric ratio, the visco-Pasternak’s coefficients, damping parameter, and mode numbers on the buckling response of the SLGSs are studied and discussed.
Salima Abdelbari,Abdelkader Fekrar,Houari Heireche,Hayat Saidi,Abdelouahed Tounsi,E.A Adda Bedia 한국풍공학회 2016 Wind and Structures, An International Journal (WAS Vol.22 No.3
This work presents a simple hyperbolic shear deformation theory for analysis of functionally graded plates resting on elastic foundation. The proposed model contains fewer number of unknowns and equations of motion than the first-order shear deformation model, but the transverse shear stresses account for a hyperbolic variation and respect the tangential stress-free boundary conditions on the plate boundary surface without introducing shear correction factors. Equations of motion are obtained from Hamilton`s principle. The Navier-type analytical solutions for simply-supported plates are compared with the existing solutions to demonstrate the accuracy of the proposed theory.