آمار

تعداد نشریات9
تعداد شماره‌ها446
تعداد مقالات5,719
تعداد مشاهده مقاله8,018,493
تعداد دریافت فایل اصل مقاله6,527,293
Sahmani, S., Mohammadi Aghdam, M., Akbarzadeh, A.. (1397). Surface Stress Effect on Nonlinear Instability of Imperfect Piezoelectric Nanoshells under Combination of Hydrostatic Pressure and Lateral Electric Field. نشریه مهندسی عمران امیرکبیر, 2(2), 177-190. doi: 10.22060/ajme.2018.13624.5687
S. Sahmani; M. Mohammadi Aghdam; A. Akbarzadeh. "Surface Stress Effect on Nonlinear Instability of Imperfect Piezoelectric Nanoshells under Combination of Hydrostatic Pressure and Lateral Electric Field". نشریه مهندسی عمران امیرکبیر, 2, 2, 1397, 177-190. doi: 10.22060/ajme.2018.13624.5687
Sahmani, S., Mohammadi Aghdam, M., Akbarzadeh, A.. (1397). 'Surface Stress Effect on Nonlinear Instability of Imperfect Piezoelectric Nanoshells under Combination of Hydrostatic Pressure and Lateral Electric Field', نشریه مهندسی عمران امیرکبیر, 2(2), pp. 177-190. doi: 10.22060/ajme.2018.13624.5687
Sahmani, S., Mohammadi Aghdam, M., Akbarzadeh, A.. Surface Stress Effect on Nonlinear Instability of Imperfect Piezoelectric Nanoshells under Combination of Hydrostatic Pressure and Lateral Electric Field. نشریه مهندسی عمران امیرکبیر, 1397; 2(2): 177-190. doi: 10.22060/ajme.2018.13624.5687

Surface Stress Effect on Nonlinear Instability of Imperfect Piezoelectric Nanoshells under Combination of Hydrostatic Pressure and Lateral Electric Field

AUT Journal of Mechanical Engineering
مقاله 5، دوره 2، شماره 2، اسفند 2018، صفحه 177-190    اصل مقاله (1.79 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22060/ajme.2018.13624.5687
نویسندگان
S. Sahmani* 1؛ M. Mohammadi Aghdam2؛ A. Akbarzadeh3
1Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
2Department of Bioresource Engineering, McGill University, Ste-Anne-de-Bellevue, Island of Montreal, Canada
3Department of Mechanical Engineering, McGill University, Montreal, Canada
چکیده
In this paper, the nonlinear instability of piezoelectric cylindrical nanoshells under the combined radial compression and electrical load including the effects of surface free energy is studied. To consider the surface effects, the Gurtin-Murdoch elasticity theory is utilized along with the classical shell theory to develop an efficient size-dependent shell model. To satisfy the balance conditions on the surfaces of nanoshells, a linear variation of normal stress is assumed through the thickness of the bulk. Electrical field is also exerted along the transverse direction. Based on the virtual work principle, the size-dependent nonlinear governing differential equations are derived in which transverse displacement and Airy stress function are considered as independent variables. After that, a boundary layer theory is used incorporating the surface free energy effects in conjunction with the nonlinear prebuckling deformation, the large deflections in the postbuckling regime, and the initial geometrical imperfection. Finally, a two-stepped singular perturbation technique is employed to obtain the size-dependent critical buckling pressure and the associated postbuckling equilibrium path for alternative electrical loadings. It is revealed that the electrical load increases or decreases the critical buckling pressure and critical end-shortening of nanoshell which depends on the sign of applied voltage. Moreover, it is found that by taking surface free energy effects into account, the influence of electrical load on the postbuckling behavior of nanoshell increases.
کلیدواژه‌ها
Nanomechanics؛ Piezoelectric material؛ Nonlinear buckling؛ Size effect؛ Surface elasticity theory
مراجع

[1] Y.G. Hu, K.M. Liew, Q. Wang, X.Q. He, B.I. Yakobson. Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes. Journal of the Mechanics and Physics of Solids, 56 (2008) 3475-3485.

[2] H.-S. Shen, C.L. Zhang.Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model. Composite Structures, 92 (2010) 1073-1084.

[3] B. Wang, J. Zhao, Sh. Zhou. A micro scale Timoshenko beam model based on strain gradient elasticity theory. European Journal of Mechanics – A/Solids, 29 (2010) 591-599.

[4] R. Ansari, S. Sahmani, B. Arash. Nonlocal plate model for free vibrations of single-layered graphene sheets. Physics Letters A, 375 (2010) 53-62.

[5] F. Khademolhosseini, R.K.N.D. Rajapakse, A. Nojeh. Torsional buckling of carbon nanotubes based on nonlocal elasticity shell models. Computational Materials Science, 48 (2010) 736-742.

[6] H.-S. Shen, C.L. Zhang. Nonlocal beam model for nonlinear analysis of carbon nanotubes on elastomeric substrates. Computational Materials Science, 50 (2011) 1022-1029.

[7] S. Ahangar, G. Rezazadeh, R. Shabani, A. Toloei. On the stability of a microbeam conveying fluid considering modified couple stress theory. International Journal of Mechanics and Materials in Design, 7 (2011) 327-342.

[8] E. Ghavanloo, S. Ahmad Fazelzadeh. Nonlocal elasticity theory for radial vibration of nanoscale spherical shells. European Journal of Mechanics – A/Solids, 41 (2013) 37-42.

[9] H.-S. Shen. Nonlocal shear deformable shell model for torsional buckling and postbuckling of microtubules in thermal environment. Mechanics Research Communications, 54 (2013) 83-95.

[10] A. Ghanbarpour Arani, R. Kolahchi, A. Mortazavi. Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems. International Journal of Mechanics and Materials in Design, 10 (2014) 179-191.

[11] S. Sahmani, M. Bahrami, R. Ansari. Nonlinear free vibration analysis of functionally graded third-order shear deformable microbeams based on the modified strain gradient elasticity theory. Composite Structures 110 (2014) 219-230.

[12] K.B. Mustapha, D. Ruan. Size-dependent axial dynamics of magnetically-sensitive strain gradient microbars with end attachments. International Journal of Mechanical Sciences, 94-95 (2015) 96-110.

[13] S. Sahmani, M. Bahrami. Size-dependent dynamic stability analysis of microbeams actuated by piezoelectric voltage based on strain gradient elasticity theory. Journal of Mechanical Science and Technology, 29 (2015) 325-333.

[14] M.S. Sari, W.G. Al-Kouz. Vibration analysis of non-uniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory. International Journal of Mechanical Sciences, 114 (2016) 1-11.

[15] M. Aydogdu, M. Arda. Torsional vibration analysis of double walled carbon nanotubes using nonlocal elasticity. International Journal of Mechanics and Materials in Design, 12 (2016) 71-84.

[16] S. Sahmani, M.M. Aghdam. Size dependency in axial postbuckling behavior of hybrid FGM exponential shear deformable nanoshells based on the nonlocal elasticity theory. Composite Structures, 166 (2017) 104-113.

[17] S. Sahmani, M.M. Aghdam. Nonlinear instability of hydrostatic pressurized hybrid FGM exponential shear deformable nanoshells based on nonlocal continuum elasticity. Composites Part B: Engineering, 114 (2017) 404-417.

[18] S. Sahmani, M.M. Aghdam. Temperature-dependent nonlocal instability of hybrid FGM exponential shear deformable nanoshells including imperfection sensitivity. International Journal of Mechanical Sciences, 122 (2017) 129-142.

[19] M. Mohammadimehr, H. Mohammadi Hooyeh, H. Afshari, M.R. Salarkia. Free vibration analysis of double-bonded isotropic piezoelectric Timoshenko microbeam based on strain gradient and surface stress elasticity theories under initial stress using differential quadrature method. Mechanics of Advanced Materials and Structures, 24 (2017) 1142022.

[20] S. Sahmani, M.M. Aghdam. Nonlinear vibrations of pre- and post-buckled lipid supramolecular micro/nano-tubules via nonlocal strain gradient elasticity theory. Journal of Biomechanics, 65 (2017) 49-60.

[21] S. Sahmani, M.M. Aghdam. Nonlocal strain gradient beam model for postbuckling and associated vibrational response of lipid supramolecular protein micro/nano-tubules. Mathematical Biosciences, 295 (2018) 24-35.

[22] L. Lu, X. Guo, J. Zhao. Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory. International Journal of Engineering Science, 116 (2017) 12-24.

[23] S. Sahmani, M.M. Aghdam. Size-dependent nonlinear bending of micro/nano-beams made of nanoporous biomaterials including a refined truncated cube cell. Physics Letters A, 381 (2017) 3818-3830.

[24] S. El-Borgi, P. Rajendran, M.I. Friswell, M. Trabelssi, J.N. Reddy. Torsional vibration of size-dependent viscoelastic rods using nonlocal strain and velocity gradient theory. Composite Structures, 186 (2018) 274-292.

[25] S. Sahmani, M.M. Aghdam. Nonlocal strain gradient shell model for axial buckling and postbuckling analysis of magneto-electro-elastic composite nanoshells. Composites Part B: Engineering, 132 (2018) 258-274.

[26] S. Sahmani, M.M. Aghdam, T. Rabczuk. Nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets based upon nonlocal strain gradient theory. Composite Structures, 186 (2018) 68-78.

[27] M.E. Gurtin, A.I. Murdoch. A continuum theory of elastic material surface. Archive for Rational Mechanics and Analysis, 57 (1975) 291-323.

[28] M.E. Gurtin, A.I. Murdoch. Surface stress in solids. International Journal of Solids and Structures, 14 (1978) 431-440.

[29] C.W. Lim, L.H. He. Size-dependent nonlinear response of thin elastic films with nano-scale thickness. International Journal of Mechanical Sciences, 46 (2004) 1715-1726.

[30] Z.R. Li, C.W. Lim, L.H. He. Stress concentration around a nano-scale spherical cavity in elastic media: effect of surface stress. European Journal of Mechanics – A/Solids, 25 (2006) 260-270.

[31] G.F. Wang, X.Q. Feng. Effects of surface stresses on contact problems at nanoscale. Journal of Applied Physics, 101 (2007) 013510.

[32] J. He, C.M. Lilley. Surface effect on the elastic behavior of static bending nanowires. Nano Letters, 8 (2008) 1798-1802.

[33] S.G. Mogilevskaya, S.L. Crouch, H.K. Stolarski. Multiple interacting circular nano-inhomogeneities with surface/interface effects. Journal of the Mechanics and Physics of Solids, 56 (2008) 2298-2327.

[34] X.J. Zhao, R.K.N.D. Rajapakse. Analytical solutions for a surface-loaded isotropic elastic layer with surface energy effects. International Journal of Engineering Science, 47 (2009) 1433-1444.

[35] Y. Fu, J. Zhang, Y. Jiang. Influences of surface energies on the nonlinear static and dynamic behaviors of nanobeams. Physica E, 42 (2010) 2268-2273.

[36] R. Ansari, S. Sahmani. Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories. International Journal of Engineering Science, 49 (2011) 1244-1255.

[37] R. Ansari, S. Sahmani. Surface stress effects on the free vibration behavior of nanoplates. International Journal of Engineering Science, 49 (2011) 1204-1215.

[38] L. Wang. Surface effect on buckling configuration of nanobeams containing internal flowing fluid: A nonlinear analysis. Physica E, 44 (2012) 808-812.

[39] H. Liu, H. Liu, J. Yang. Surface effects on the propagation of shear horizontal waves in thin films with nano-scalethickness. Physica E, 49 (2013) 13-17.

[40] M.E. Khater, M.A. Eltaher, E. Abdel-Rahman, M. Yavuz. Surface and thermal load effects on the buckling of curved nanowires. Engineering Science and Technology, an International Journal, 17 (2014) 279-283.

[41] F. Gao, Q. Cheng, J. Luo. Mechanics of nanowire buckling on elastomeric substrates with consideration of surface stress effects. Physica E, 64 (2014) 72-77.

[42] S. Sahmani, M. Bahrami, M.M. Aghdam, R. Ansari. Surface effects on the nonlinear forced vibration response of third-order shear deformable nanobeams. Composite Structures, 118 (2014) 149-158.

[43] S. Sahmani, M. Bahrami, R. Ansari. Surface effects on the free vibration behavior of postbuckled circular higher-order shear deformable nanoplates including geometrical nonlinearity. Acta Astronautica, 105 (2014) 417-427.

[44] Y.Q. Zhang, M. Pang, W.Q. Chen. Transverse vibrations of embedded nanowires under axial compression with high-order surface stress effects. Physica E, 66 (2015) 238-244.

[45] S. Sahmani, M.M. Aghdam, M. Bahrami. On the free vibration characteristics of postbuckled third-order shear deformable FGM nanobeams including surface effects. Composite Structures, 121 (2015) 377-385.

[46] X. Liang, Sh. Hu, Sh. Shen. Surface effects on the post-buckling of piezoelectric nanowires. Physica E, 69 (2015) 61-64.

[47] A.A. Abdel Rahman, A.G. El-Shafei, F.F. Mahmoud. Influence of surface energy on the nanoindentation response of elastically-layered viscoelastic materials. International Journal of Mechanics and Materials in Design, 12 (2016) 193-209.

[48] S. Sahmani, M.M. Aghdam, A.H. Akbarzadeh. Size-dependent buckling and postbuckling behavior of piezoelectric cylindrical nanoshells subjected to compression and electrical load. Materials & Design, 105 (2016) 341-351.

[49] S. Sahmani, M.M. Aghdam. Imperfection sensitivity of the size-dependent postbuckling response of pressurized FGM nanoshells in thermal environments. Archives of Civil and Mechanical Engineering, 17 (2017) 623-638.

[50] S. Sahmani, M.M. Aghdam, M. Bahrami. Surface free energy effects on the postbuckling behavior of cylindrical shear deformable nanoshells under combined axial and radial compressions. Meccanica, 52 (2017) 1329-1352.

[51] S. Sahmani, M.M. Aghdam, M. Bahrami. Nonlinear buckling and postbuckling behavior of cylindrical shear deformable nanoshells subjected to radial compression including surface free energy effects. Acta Mechanica Solida Sinica, 30 (2017) 209-222.

[52] S. Sahmani, M.M. Aghdam, M. Bahrami. An efficient size-dependent shear deformable shell model and molecular dynamics simulation for axial instability analysis of silicon nanoshells. Journal of Molecular Graphics and Modelling, 77 (2017) 263-279.

[53] L.H. Donnell. Beam, plates and shells. McGraw-Hill, New York, USA, (1976) 377-445.

[54] H.-S. Shen, T.-Y. Chen. A boundary layer theory for the buckling of thin cylindrical shells under external pressure. Applied Mathematics and Mechanics, 9 (1988) 557-571.

[55] H.-S. Shen. Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part II: Prediction under external pressure. Composite Structures, 82 (2008) 362-370.

[56] H.-S. Shen. Postbuckling of 3D braided composite cylindrical shells under combined external pressure and axial compression in thermal environments. International Journal of Mechanical Sciences, 50 (2008) 719-731.

[57] H.-S. Shen, Y. Xiang. Postbuckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compression in thermal environments. Computer Methods in Applied Mechanics and Engineering, 330 (2018) 64-82.

[58] H.-S. Shen, Y. Xiang. Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments. Thin-Walled Structures, 124 (2018) 151-160.

[59] S. Sahmani, M.M. Aghdam. Size-dependent axial instability of microtubules surrounded by cytoplasm of a living cell based on nonlocal strain gradient elasticity theory. Journal of Theoretical Biology, 422 (2017) 59-71.

[60] S. Sahmani, M.M. Aghdam. Nonlinear instability of axially loaded functionally graded multilayer graphene platelet-reinforced nanoshells based on nonlocal strain gradient elasticity theory. International Journal of Mechanical Sciences, 131-132 (2017) 95-106.

[61] S. Sahmani, M.M. Aghdam. A nonlocal strain gradient hyperbolic shear deformable shell model for radial postbuckling analysis of functionally graded multilayer GPLRC nanoshells. Composite Structures, 178 (2017) 97-109.

[62] S. Sahmani, M.M. Aghdam. Nonlocal strain gradient beam model for nonlinear vibration of prebuckled and postbuckled multilayer functionally graded GPLRC nanobeams. Composite Structures, 179 (2017) 77-88.

[63] G.Y. Huang, S.W. Yu. Effect of surface piezoelectricity on the electromechanical behavior of piezoelectric ring. Physics of Status Solidi B, 243 (2006) R22-R24.

[64] Z. Yan, L.Y. Jiang. Surface effects on the electromechanical coupling and bending behaviours of piezoelectric nanowires. Journal of Physics D, 44 (2011) 075404.

[65] Z. Yan, L.Y. Jiang. The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects. Nanotechnology, 22 (2011) 245703.

[66] P. Mirfakhraei, D. Redekop. Buckling of circular cylindrical shells by the differential quadrature method. International Journal of Pressure Vessels and Piping, 75 (1998) 347-353.

آمار
تعداد مشاهده مقاله: 1,333
تعداد دریافت فایل اصل مقاله: 811


سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب