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Articles

Effect of magnetic-thermal field on nonlinear wave propagation of circular nanoplates

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Pages 2296-2316 | Received 02 Nov 2018, Accepted 30 Sep 2019, Published online: 15 Oct 2019

References

  • Eringen AC. Nonlocal continuum field theories. Springer Science & Business Media; 2002. Available from: https://www.springer.com/gp/book/9780387952758.
  • Zhang LW, Zhang Y, Liew KM. Vibration analysis of quadrilateral graphene sheets subjected to an in-plane magnetic field based on nonlocal elasticity theory. Compos Part B: Eng. Jun. 2017;118:96–103. doi: 10.1016/j.compositesb.2017.03.017
  • Chen W, Wang Y. A model of composite laminated Reddy plate of the global-local theory based on new modified couple-stress theory. Mech Adv Mater Struct. Jun. 2016;23(6):636–651. doi: 10.1080/15376494.2015.1028691
  • Jandaghian AA, Rahmani O. Vibration analysis of functionally graded piezoelectric nanoscale plates by nonlocal elasticity theory: an analytical solution. Superlattices Microstruct. 2016;100:57–75. doi: 10.1016/j.spmi.2016.08.046
  • Allahyari E, Fadaee M. Analytical investigation on free vibration of circular double-layer graphene sheets including geometrical defect and surface effects. Compos Part B: Eng. 2016 Feb;85:259–267. doi: 10.1016/j.compositesb.2015.09.036
  • Reddy JN, El-Borgi S, Romanoff J. Non-linear analysis of functionally graded microbeams using Eringens non-local differential model. Int J Non Linear Mech. Dec. 2014;67:308–318. doi: 10.1016/j.ijnonlinmec.2014.09.014
  • Zhang Z, Wang CM, Challamel N. Eringen’s length scale coefficient for buckling of nonlocal rectangular plates from microstructured beam-grid model. Int J Solids Struct. Dec. 2014;51(25–26):4307–4315. doi: 10.1016/j.ijsolstr.2014.08.017
  • Fernández-Sáez J, Zaera R. Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory. Int J Eng Sci. 2017;119:232–248. doi: 10.1016/j.ijengsci.2017.06.021
  • Kolahchi R. A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods. Aerosp Sci Technol. 2017;66:235–248. doi: 10.1016/j.ast.2017.03.016
  • Kim J, Reddy JN. Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory. Compos Struct. 2013;103:86–98. doi: 10.1016/j.compstruct.2013.03.007
  • Fathalilou M, Sadeghi M, Rezazadeh G. Micro-inertia effects on the dynamic characteristics of micro-beams considering the couple stress theory. Mech Res Commun. 2014;60:74–80. doi: 10.1016/j.mechrescom.2014.06.003
  • Salehipour H, Nahvi H, Shahidi A, et al. 3D elasticity analytical solution for bending of FG micro/nanoplates resting on elastic foundation using modified couple stress theory. Appl Math Model. Jul. 2017;47:174–188. doi: 10.1016/j.apm.2017.03.007
  • Guo J, Chen J, Pan E. Free vibration of three-dimensional anisotropic layered composite nanoplates based on modified couple-stress theory. Phys E: Low-Dimens Syst Nanostruct. 2017;87:98–106. doi: 10.1016/j.physe.2016.11.025
  • Asgari M, Akhlaghi M. Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations. Eur J Mech – A/Solids. 2011;30(2):72–81. doi: 10.1016/j.euromechsol.2010.10.002
  • Sarvi Z, Asgari M, Shariyat M, et al. Explicit expressions describing elastic properties and buckling load of BN nanosheets due to the effects of vacancy defects. Superlatt Microstruct. 2015;88:668–678. doi: 10.1016/j.spmi.2015.10.028
  • Shariyat M, Sarvi Z, Asgari M. A unit-cell-based three-dimensional molecular mechanics analysis for buckling load, effective elasticity and Poisson’s ratio determination of the nanosheets. Mol Simul. 2015;7022(December):1–17.
  • Malekzadeh P, Shojaee M. A two-variable first-order shear deformation theory coupled with surface and nonlocal effects for free vibration of nanoplates. J Vib Control. Oct. 2015;21(14):2755–2772. doi: 10.1177/1077546313516667
  • Rafieipour H, Lotfavar A, Masroori A, et al. Application of Laplace iteration method to study of nonlinear vibration of laminated composite plates. Lat Am J Solids Struct. 2013;10(4):781–795. doi: 10.1590/S1679-78252013000400007
  • Hao YX, Zhang W, Yang J, et al. Nonlinear dynamics of a functionally graded thin simply-supported plate under a hypersonic flow. Mech Adv Mater Struct. Aug. 2015;22(8):619–632. doi: 10.1080/15376494.2013.828817
  • Yamaki N. Influence of large amplitudes on flexural vibrations of elastic plates. ZAMM-J Appl Math Mech/Zeitschrift für Angewandte Mathematik und Mechanik. 1961;41(12):501–510. doi: 10.1002/zamm.19610411204
  • Das D. Nonlinear forced vibration analysis of higher order shear-deformable functionally graded microbeam resting on nonlinear elastic foundation based on modified couple stress theory. Proc Inst Mech Eng Part L: J Mater: Des Appl. 2019;233(9):1773–1790.
  • Setoodeh AR, Malekzadeh P, Vosoughi AR. Nonlinear free vibration of orthotropic graphene sheets using nonlocal Mindlin plate theory. Proc Inst Mech Eng Part C: J Mech Eng Sci. Jul. 2011;226(7):1896–1906. doi: 10.1177/0954406211428997
  • Shen H-S, Xiang Y, Lin F. Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments. Comput Methods Appl Mech Eng. 2017;319:175–193. doi: 10.1016/j.cma.2017.02.029
  • Sharma K, Kumar D. Nonlinear stability analysis of a perforated FGM plate under thermal load. Mech Adv Mater Struct. Jan. 2018;25(2):100–114. doi: 10.1080/15376494.2016.1255817
  • Malekzadeh P, Golbahar Haghighi MR, Shojaee M. Nonlinear free vibration of skew nanoplates with surface and small scale effects. Thin-Wall Struct. May 2014;78:48–56. doi: 10.1016/j.tws.2013.10.027
  • Ebrahimi F, Hosseini SHS. Effect of temperature on pull-in voltage and nonlinear vibration behavior of nanoplate-based NEMS under hydrostatic and electrostatic actuations. Acta Mechanica Solida Sinica. 2017;30(2):174–189. doi: 10.1016/j.camss.2017.02.001
  • Duc ND, Cong PH, Quang VD. Nonlinear dynamic and vibration analysis of piezoelectric eccentrically stiffened FGM plates in thermal environment. Int J Mech Sci. Sep. 2016;115–116:711–722. doi: 10.1016/j.ijmecsci.2016.07.010
  • Malekzadeh P, Alibeygi Beni A. Nonlinear free vibration of In-plane functionally graded rectangular plates. Mech Adv Mater Struct. Aug. 2015;22(8):633–640. doi: 10.1080/15376494.2013.828818
  • Wang YQ, Wan YH, Zhang YF. Vibrations of longitudinally traveling functionally graded material plates with porosities. Eur J Mech – A/Solids. 2017;66(Suppl. C):55–68. doi: 10.1016/j.euromechsol.2017.06.006
  • Wang Z-X, Shen H-S. Nonlinear vibration of nanotube-reinforced composite plates in thermal environments. Comput Mater Sci. Jun. 2011;50(8):2319–2330. doi: 10.1016/j.commatsci.2011.03.005
  • Malekzadeh P, Shojaee M. Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams. Compos Part B: Eng. Sep. 2013;52:84–92. doi: 10.1016/j.compositesb.2013.03.046
  • Nguyen DD, Pham HC. Nonlinear vibration of thick FGM plates on elastic foundation subjected to thermal and mechanical loads using the first order shear deformation plate theory. Cogent Eng. 2015;2:1–17. doi: 10.1080/23311916.2015.1048098
  • Asgari M. Material distribution optimization of 2D heterogeneous cylinder under thermo-mechanical loading. Struct Eng Mech. Feb. 2015;53(4):703–723. doi: 10.12989/sem.2015.53.4.703
  • Asgari M. Free vibration analysis of functionally heterogeneous hollow cylinder based on three dimensional elasticity theory. Int J Acoust Vibr. 2017;22(2):151–160.
  • Reddy JN, Berry J. Nonlinear theories of axisymmetric bending of functionally graded circular plates with modified couple stress. Compos Struct. 2012;94(12):3664–3668. doi: 10.1016/j.compstruct.2012.04.019
  • Nayfeh AH, Pai PF. Linear and nonlinear structural mechanics. John Wiley & Sons; 2008. Available from: https://onlinelibrary.wiley.com/doi/book/10.1002/9783527617562.
  • Narendar S, Gopalakrishnan S. Spectral finite element formulation for nanorods via nonlocal continuum mechanics. J Appl Mech. 2011;78(6):61018. doi: 10.1115/1.4003909
  • Reddy JN. Theory and analysis of elastic plates and shells. CRC press; 2006. Available from: https://www.crcpress.com/Theory-and-Analysis-of-Elastic-Plates-and-Shells/Reddy/p/book/9780849384158.
  • Nayfeh AH, Mook DT. Nonlinear oscillations. John Wiley & Sons; 2008. Available from: https://onlinelibrary.wiley.com/doi/book/10.1002/9783527617586.
  • Nayfeh AH. Introduction to perturbation techniques. John Wiley & Sons; 2011. Available from: https://www.wiley.com/en-us/Introduction.
  • Wang Y, Li F-M, Wang Y-Z. Nonlinear vibration of double layered viscoelastic nanoplates based on nonlocal theory. Physica E: Low-Dimensional Syst Nanostruct. 2015;67(Suppl. C):65–76. doi: 10.1016/j.physe.2014.11.007

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