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Microsystem Technologies

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07-03-2018 | Technical Paper

Static stability analysis of double-layer graphene sheet system in hygro-thermal environment

Authors: Farzad Ebrahimi, Mohammad Reza Barati

Published in: Microsystem Technologies | Issue 9/2018

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Abstract

In this research a nonlocal strain gradient plate model is introduced for hygro-thermo-mechanical buckling analysis of double-layered graphene sheets in elastic medium. For more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. In fact, buckling load increment due to the strain gradient effect is neglected in all previous papers related to double-layer graphene sheets. Governing equations of a nonlocal strain gradient double-layer graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as hygro-thermal loading, nonlocal parameter, length scale parameter, elastic foundation, interlayer stiffness and boundary conditions on buckling characteristics a double-layer graphene sheet are studied.

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Aksencer T, Aydogdu M (2011) Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory. Phys E 43(4):954–959CrossRef

Ansari R, Sahmani S (2013) Prediction of biaxial buckling behavior of single-layered graphene sheets based on nonlocal plate models and molecular dynamics simulations. Appl Math Model 37(12):7338–7351MathSciNetCrossRef

Ansari R, Arash B, Rouhi H (2011) Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity. Compos Struct 93(9):2419–2429CrossRef

Arani AG, Haghparast E, Zarei HB (2016) Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field. Phys B 495:35–49CrossRef

Asemi SR, Mohammadi MOSLEM, Farajpour A (2014) A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory. Lat Am J Solids Struct 11(9):1515–1540CrossRef

Bessaim A, Houari MSA, Bernard F, Tounsi A (2015) A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates. Struct Eng Mech 56(2):223–240CrossRef

Ebrahimi F, Barati MR (2016a) Size-dependent dynamic modeling of inhomogeneous curved nanobeams embedded in elastic medium based on nonlocal strain gradient theory. Proc Inst Mech Eng Part C J Mech Eng Sci. https://doi.org/10.1177/0954406216668912

Ebrahimi F, Barati MR (2016b) Hygrothermal buckling analysis of magnetically actuated embedded higher order functionally graded nanoscale beams considering the neutral surface position. J Therm Stress 39(10):1210–1229CrossRef

Ebrahimi F, Barati MR (2016c) Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory. Appl Phys A 122(9):843CrossRef

Ebrahimi F, Barati MR (2017a) Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory. Compos Struct 159:433–444CrossRef

Ebrahimi F, Barati MR (2017b) A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams. Compos Struct 159:174–182CrossRef

Ebrahimi F, Shafiei N (2016) Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy’s higher-order shear deformation plate theory. Mech Adv Mater Struct (just-accepted) 1–41

Ebrahimi F, Barati MR, Dabbagh A (2016) A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates. Int J Eng Sci 107:169–182CrossRef

Eringen AC (1983) On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 54(9):4703–4710CrossRef

Eringen AC, Edelen DGB (1972) On nonlocal elasticity. Int J Eng Sci 10(3):233–248MathSciNetCrossRefMATH

Farajpour A, Shahidi AR, Mohammadi M, Mahzoon M (2012) Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics. Compos Struct 94(5):1605–1615CrossRef

Farajpour MR, Rastgoo A, Farajpour A, Mohammadi M (2016) Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory. Micro Nano Lett 11(6):302–307CrossRef

Goodarzi M, Mohammadi M, Farajpour A, Khooran M (2014) Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation. J Solid Mech 6:98–121

Goodarzi M, Mohammadi M, Khooran M, Saadi F (2016) Thermo-mechanical vibration analysis of FG circular and annular nanoplate based on the visco-pasternak foundation. J Solid Mech 8(4):788–805

Hashemi SH, Samaei AT (2011) Buckling analysis of micro/nanoscale plates via nonlocal elasticity theory. Phys E 43(7):1400–1404CrossRef

Hashemi SH, Mehrabani H, Ahmadi-Savadkoohi A (2015) Exact solution for free vibration of coupled double viscoelastic graphene sheets by viscoPasternak medium. Compos B Eng 78:377–383CrossRef

Jiang RW, Shen ZB, Tang GJ (2016) Vibration analysis of a single-layered graphene sheet-based mass sensor using the Galerkin strip distributed transfer function method. Acta Mech 1–12

Lam DCC, Yang F, Chong ACM, Wang J, Tong P (2003) Experiments and theory in strain gradient elasticity. J Mech Phys Solids 51(8):1477–1508CrossRefMATH

Li L, Hu Y (2016) Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory. Comput Mater Sci 112:282–288CrossRef

Li L, Hu Y, Li X (2016) Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory. Int J Mech Sci 115:135–144CrossRef

Lim CW, Zhang G, Reddy JN (2015) A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids 78:298–313MathSciNetCrossRefMATH

Mohammadi M, Goodarzi M, Ghayour M, Farajpour A (2013) Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory. Compos B Eng 51:121–129CrossRef

Mohammadi MOSLEM, Moradi ABBAS, Ghayour MOSTAFA, Farajpour A (2014a) Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium. Lat Am J Solids Struct 11(3):437–458CrossRef

Mohammadi M, Farajpour A, Moradi A, Ghayour M (2014b) Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment. Compos B Eng 56:629–637CrossRef

Mohammadi M, Safarabadi M, Rastgoo A, Farajpour A (2016) Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment. Acta Mech 227(8):2207–2232MathSciNetCrossRefMATH

Murmu T, McCarthy MA, Adhikari S (2013) In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach. Compos Struct 96:57–63CrossRef

Narendar S, Gopalakrishnan S (2012) Scale effects on buckling analysis of orthotropic nanoplates based on nonlocal two-variable refined plate theory. Acta Mech 223(2):395–413MathSciNetCrossRefMATH

Pradhan SC, Kumar A (2011) Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method. Compos Struct 93(2):774–779CrossRef

Pradhan SC, Murmu T (2009) Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics. Comput Mater Sci 47(1):268–274CrossRef

Shen ZB, Tang HL, Li DK, Tang GJ (2012) Vibration of single-layered graphene sheet-based nanomechanical sensor via nonlocal Kirchhoff plate theory. Comput Mater Sci 61:200–205CrossRef

Sobhy M (2014) Thermomechanical bending and free vibration of single-layered graphene sheets embedded in an elastic medium. Phys E 56:400–409CrossRef

Sobhy M (2016) Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory. Appl Math Model 40(1):85–99MathSciNetCrossRef

Zenkour AM (2016) Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium. Phys E 79:87–97CrossRef

Title: Static stability analysis of double-layer graphene sheet system in hygro-thermal environment
Authors: Farzad Ebrahimi
Mohammad Reza Barati
Publication date: 07-03-2018
Publisher: Springer Berlin Heidelberg
Published in: Microsystem Technologies / Issue 9/2018
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI: https://doi.org/10.1007/s00542-018-3827-0

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