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      KCI등재 SCIE SCOPUS

      Nonlocal strain gradient model for thermal stability of FG nanoplates integrated with piezoelectric layers

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      https://www.riss.kr/link?id=A106087112

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      다국어 초록 (Multilingual Abstract)

      In the present paper, the nonlocal strain gradient refined model is used to study the thermal stability of sandwich nanoplates integrated with piezoelectric layers for the first time. The influence of Kerr elastic foundation is also studied. The prese...

      In the present paper, the nonlocal strain gradient refined model is used to study the thermal stability of sandwich nanoplates integrated with piezoelectric layers for the first time. The influence of Kerr elastic foundation is also studied. The present model incorporates two small-scale coefficients to examine the size-dependent thermal stability response. Elastic properties of nanoplate made of functionally graded materials (FGMs) are supposed to vary through the thickness direction and are estimated employing a modified power-law rule in which the porosity with even type of distribution is approximated. The governing differential equations of embedded sandwich piezoelectric porous nanoplates under hygrothermal loading are derived through Hamilton's principle where the Galerkin method is applied to solve the stability problem of the nanoplates with simply-supported edges. It is indicated that the thermal stability characteristics of the porous nanoplates are obviously influenced by the porosity volume fraction and material variation, nonlocal parameter, strain gradient parameter, geometry of the nanoplate, external voltage, temperature and humidity variations, and elastic foundation parameters.

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      참고문헌 (Reference)

      1 She, G. L., "Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory" 133 (133): 368-, 2018

      2 Behrouz Karami, "Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory" Informa UK Limited 25 (25): 1047-1057, 2017

      3 Behrouz Karami, "Wave dispersion of mounted graphene with initial stress" Elsevier BV 122 : 102-111, 2018

      4 Karami, B., "Wave Propagation of Porous Nanoshells" 9 (9): 22-, 2019

      5 Majid Ghadiri, "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects" 국제구조공학회 25 (25): 197-207, 2017

      6 Mohammad Reza Barati, "Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory" 국제구조공학회 64 (64): 683-693, 2017

      7 Ali Akbar Jandaghian, "Vibration analysis of FG nanobeams based on third-order shear deformation theory under various boundary conditions" 국제구조공학회 25 (25): 67-78, 2017

      8 Behrouz Karami, "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory" Elsevier BV 129 : 251-264, 2018

      9 Qi-lin Xiong, "Transient thermo-piezo-elastic responses of a functionally graded piezoelectric plate under thermal shock" 국제구조공학회 25 (25): 187-196, 2017

      10 Q. Li, "Three-dimensional vibration analysis of functionally graded material sandwich plates" Elsevier BV 311 (311): 498-515, 2008

      1 She, G. L., "Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory" 133 (133): 368-, 2018

      2 Behrouz Karami, "Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory" Informa UK Limited 25 (25): 1047-1057, 2017

      3 Behrouz Karami, "Wave dispersion of mounted graphene with initial stress" Elsevier BV 122 : 102-111, 2018

      4 Karami, B., "Wave Propagation of Porous Nanoshells" 9 (9): 22-, 2019

      5 Majid Ghadiri, "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects" 국제구조공학회 25 (25): 197-207, 2017

      6 Mohammad Reza Barati, "Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory" 국제구조공학회 64 (64): 683-693, 2017

      7 Ali Akbar Jandaghian, "Vibration analysis of FG nanobeams based on third-order shear deformation theory under various boundary conditions" 국제구조공학회 25 (25): 67-78, 2017

      8 Behrouz Karami, "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory" Elsevier BV 129 : 251-264, 2018

      9 Qi-lin Xiong, "Transient thermo-piezo-elastic responses of a functionally graded piezoelectric plate under thermal shock" 국제구조공학회 25 (25): 187-196, 2017

      10 Q. Li, "Three-dimensional vibration analysis of functionally graded material sandwich plates" Elsevier BV 311 (311): 498-515, 2008

      11 Behrouz Karami, "Thermal buckling of smart porous functionally graded nanobeam rested on Kerr foundation" 국제구조공학회 29 (29): 349-362, 2018

      12 Behrouz Karami, "Thermal buckling of embedded sandwich piezoelectric nanoplates with functionally graded core by a nonlocal second-order shear deformation theory" SAGE Publications 233 (233): 287-301, 2018

      13 Behrouz Karami, "Temperature-dependent flexural wave propagation in nanoplate-type porous heterogenous material subjected to in-plane magnetic field" Informa UK Limited 41 (41): 483-499, 2017

      14 Jimmy C. Yu, "Synthesis and Characterization of Porous Magnesium Hydroxide and Oxide Nanoplates" American Chemical Society (ACS) 108 (108): 64-70, 2004

      15 Davood Shahsavari, "Shear buckling of single layer graphene sheets in hygrothermal environment resting on elastic foundation based on different nonlocal strain gradient theories" Elsevier BV 67 : 200-214, 2018

      16 Farzad Ebrahimi, "Semi-analytical vibration analysis of functionally graded size-dependent nanobeams with various boundary conditions" 국제구조공학회 19 (19): 243-257, 2017

      17 Mohammad Rahim Nami, "Resonance behavior of FG rectangular micro/nano plate based on nonlocal elasticity theory and strain gradient theory with one gradient constant" Elsevier BV 111 : 349-353, 2014

      18 Mergen H. Ghayesh, "Resonance Responses of Geometrically Imperfect Functionally Graded Extensible Microbeams" ASME International 12 (12): 2017

      19 Rameshchandra P. Shimpi, "Refined Plate Theory and Its Variants" American Institute of Aeronautics and Astronautics (AIAA) 40 (40): 137-146, 2002

      20 Mergen H. Ghayesh, "Oscillations of functionally graded microbeams" Elsevier BV 110 : 35-53, 2017

      21 Gui-Lin She, "On wave propagation of porous nanotubes" Elsevier BV 130 : 62-74, 2018

      22 Mohammad Reza Barati, "On wave propagation in nanoporous materials" Elsevier BV 116 : 1-11, 2017

      23 Gui-Lin She, "On vibrations of porous nanotubes" Elsevier BV 125 : 23-35, 2018

      24 Ismahene Belkorissat, "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model" 국제구조공학회 18 (18): 1063-1081, 2015

      25 Navvab Shafiei, "On vibration of functionally graded nano-tubes in the thermal environment" Elsevier BV 133 : 84-98, 2018

      26 Davood Shahsavari, "On the shear buckling of porous nanoplates using a new size-dependent quasi-3D shear deformation theory" Springer Science and Business Media LLC 229 (229): 4549-4573, 2018

      27 Behrouz Karami, "On the dynamics of porous nanotubes with variable material properties and variable thickness" Elsevier BV 136 : 53-66, 2019

      28 A.Cemal Eringen, "On nonlocal elasticity" Elsevier BV 10 (10): 233-248, 1972

      29 Gui-Lin She, "On nonlinear bending behavior of FG porous curved nanotubes" Elsevier BV 135 : 58-74, 2019

      30 Behrouz Karami, "On guided wave propagation in fully clamped porous functionally graded nanoplates" Elsevier BV 143 : 380-390, 2018

      31 Behrouz Karami, "On exact wave propagation analysis of triclinic material using three-dimensional bi-Helmholtz gradient plate model" 국제구조공학회 69 (69): 487-497, 2019

      32 Gui-Lin She, "On buckling and postbuckling behavior of nanotubes" Elsevier BV 121 : 130-142, 2017

      33 Barati, M. R., "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities" 5 (5): 393-414, 2017

      34 Farzad Ebrahimi, "Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment" 국제구조공학회 20 (20): 709-728, 2017

      35 Behrouz Karami, "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles" 국제구조공학회 27 (27): 201-216, 2018

      36 Mesut Şimşek, "Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach" Elsevier BV 105 : 12-27, 2016

      37 Vishesh R. Kar, "Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel" 국제구조공학회 18 (18): 693-709, 2015

      38 Gui-Lin She, "Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory" Elsevier BV 203 : 614-623, 2018

      39 Mergen H. Ghayesh, "Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams" Elsevier BV 120 : 51-62, 2017

      40 Mohammad Zamani Nejad, "Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams" Elsevier BV 105 : 1-11, 2016

      41 Hamid M. Sedighi, "Modified model for instability analysis of symmetric FGM double-sided nano-bridge: Corrections due to surface layer, finite conductivity and size effect" Elsevier BV 132 : 545-557, 2015

      42 Hamid M. Sedighi, "Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect" Elsevier BV 83 : 117-133, 2015

      43 Nuttawit Wattanasakulpong, "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities" Elsevier BV 32 (32): 111-120, 2014

      44 Farajpour, A., "Largeamplitude coupled scale-dependent behaviour of geometrically imperfect NSGT nanotubes" 150 : 510-525, 2018

      45 Behrouz Karami, "Influence of homogenization schemes on vibration of functionally graded curved microbeams" Elsevier BV 216 : 67-79, 2019

      46 Behrouz Karami, "Hygrothermal wave propagation in viscoelastic graphene under in-plane magnetic field based on nonlocal strain gradient theory" Elsevier BV 97 : 317-327, 2018

      47 Karami, B., "Hygrothermal wave characteristic of nanobeam-type inhomogeneous materials with porosity under magnetic field" 2018

      48 Chang-Yull Lee, "Hygrothermal postbuckling behavior of functionally graded plates" Elsevier BV 95 : 278-282, 2013

      49 Mohammed Sobhy, "Hygro-thermo-mechanical vibration and buckling of exponentially graded nanoplates resting on elastic foundations via nonlocal elasticity theory" 국제구조공학회 63 (63): 401-415, 2017

      50 Mergen H. Ghayesh, "Global dynamics of imperfect axially forced microbeams" Elsevier BV 115 : 102-116, 2017

      51 Karami, B., "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions" 2018

      52 Abbas Kaghazian, "Free vibration analysis of a piezoelectric nanobeam using nonlocal elasticity theory" 국제구조공학회 61 (61): 617-624, 2017

      53 I. Mechab, "Free vibration analysis of FGM nanoplate with porosities resting on Winkler Pasternak elastic foundations based on two-variable refined plate theories" Springer Science and Business Media LLC 38 (38): 2193-2211, 2016

      54 D.C.C. Lam, "Experiments and theory in strain gradient elasticity" Elsevier BV 51 (51): 1477-1508, 2003

      55 Taotao Zhang, "Exact analyses for two kinds of piezoelectric hollow cylinders with graded properties" 국제구조공학회 6 (6): 975-989, 2010

      56 M. Saadatfar, "Electromagnetothermoelastic behavior of a rotating imperfect hybrid functionally graded hollow cylinder" 국제구조공학회 15 (15): 1411-1437, 2015

      57 C.F. Lü, "Elastic mechanical behavior of nano-scaled FGM films incorporating surface energies" Elsevier BV 69 (69): 1124-1130, 2009

      58 Behrouz Karami, "Effects of triaxial magnetic field on the anisotropic nanoplates" 국제구조공학회 25 (25): 361-374, 2017

      59 Kanyaporn Adpakpang, "Effective Chemical Route to 2D Nanostructured Silicon Electrode Material: Phase Transition from Exfoliated Clay Nanosheet to Porous Si Nanoplate" Elsevier BV 204 : 60-68, 2016

      60 Behrouz Karami, "Effect of magnetic field on the wave propagation in nanoplates based on strain gradient theory with one parameter and two-variable refined plate theory" World Scientific Pub Co Pte Lt 30 (30): 1650421-, 2017

      61 Shahsavari, D., "Dynamic characteristics of viscoelastic nanoplates under moving load embedded within visco-Pasternak substrate and hygrothermal environment" 4 (4): 2017

      62 Farzad Ebrahimi, "Dynamic characteristics of curved inhomogeneous nonlocal porous beams in thermal environment" 국제구조공학회 64 (64): 121-133, 2017

      63 Davood Shahsavari, "Damped vibration of a graphene sheet using a higher-order nonlocal strain-gradient Kirchhoff plate model" Elsevier BV 346 (346): 1216-1232, 2018

      64 Li Li, "Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory" Elsevier BV 97 : 84-94, 2015

      65 Karami, B., "Buckling analysis of nanoplate-type temperature-dependent heterogeneous materials" 7 (7): 51-61, 2019

      66 M.R. Barati, "Buckling analysis of higher order graded smart piezoelectric plates with porosities resting on elastic foundation" Elsevier BV 117 : 309-320, 2016

      67 Mohammad Zamani Nejad, "Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory" Elsevier BV 103 : 1-10, 2016

      68 Davood Shahsavari, "Bending and shearing responses for dynamic analysis of single-layer graphene sheets under moving load" Springer Science and Business Media LLC 39 (39): 3849-3861, 2017

      69 Fouzia Larbi Chaht, "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect" 국제구조공학회 18 (18): 425-442, 2015

      70 O. Rahmani, "Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams" 국제구조공학회 23 (23): 339-350, 2017

      71 Lazreg Hadji, "Analysis of functionally graded plates using a sinusoidal shear deformation theory" 국제구조공학회 19 (19): 441-448, 2017

      72 Mahmoud C. Kneifati, "Analysis of Plates on a Kerr Foundation Model" American Society of Civil Engineers (ASCE) 111 (111): 1325-1342, 1985

      73 Mohammed Sobhy, "An accurate shear deformation theory for vibration and buckling of FGM sandwich plates in hygrothermal environment" Elsevier BV 110 : 62-77, 2016

      74 Behrouz Karami, "A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates" 국제구조공학회 28 (28): 99-110, 2018

      75 Davood Shahsavari, "A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation" Elsevier BV 72 : 134-149, 2018

      76 Hichem Bellifa, "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams" 국제구조공학회 62 (62): 695-702, 2017

      77 Abdelouahed Tounsi, "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation" 국제구조공학회 20 (20): 227-249, 2016

      78 Khadra Bouafia, "A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams" 국제구조공학회 19 (19): 115-126, 2017

      79 Hafid Khetir, "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates" 국제구조공학회 64 (64): 391-402, 2017

      80 C.W. Lim, "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation" Elsevier BV 78 : 298-313, 2015

      81 Davood Shahsavari, "A high-order gradient model for wave propagation analysis of porous FG nanoplates" 국제구조공학회 29 (29): 53-66, 2018

      82 Mohammad Reza Barati, "A general nonlocal stress-strain gradient theory for forced vibration analysis of heterogeneous porous nanoplates" Elsevier BV 67 : 215-230, 2018

      83 Hassen Ait Atmane, "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities" 국제구조공학회 19 (19): 369-384, 2015

      84 Karami, B., "A comprehensive analytical study on functionally graded carbon nanotube-reinforced composite plates" 82 : 499-512, 2018

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