Large deflections of magneto-electro-elastic cylindrical shells reinforced with functionally graded carbon nanotubes

References

• A.E. Alshorbagy, M.A. Eltaher, and F.F. Mahmoud, Free vibration characteristics of a functionally graded beam by finite element method, Appl. Math. Modell., vol. 35, no. 1, pp. 412–425, 2011. DOI: 10.1016/j.apm.2010.07.006.
   Web of Science ®Google Scholar
• M.A. Eltaher, S.A. Emam, and F.F. Mahmoud, Free vibration analysis of functionally graded size-dependent nanobeams, Appl. Math. Comput., vol. 218, no. 14, pp. 7406–7420, 2012. DOI: 10.1016/j.amc.2011.12.090.
   Web of Science ®Google Scholar
• F.F. Mahmoud, M.A. Eltaher, A.E. Alshorbagy, and E.I. Meletis, Static analysis of nanobeams including surface effects by nonlocal finite element, J. Mech. Sci. Technol., vol. 26, no. 11, pp. 3555–3563, 2012. DOI: 10.1007/s12206-012-0871-z.
   Web of Science ®Google Scholar
• M.A. Eltaher, S.A. Emam, and F.F. Mahmoud, Static and stability analysis of nonlocal functionally graded nanobeams, Compos. Struct., vol. 96, pp. 82–88, 2013. DOI: 10.1016/j.compstruct.2012.09.030.
   Web of Science ®Google Scholar
• M.A. Eltaher, A.E. Alshorbagy, and F.F. Mahmoud, Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams, Compos. Struct., vol. 99, no. 5, pp. 193–201, 2013. DOI: 10.1016/j.compstruct.2012.11.039.
   Google Scholar
• J. Van den Boomgaard and R. Born, A sintered magnetoelectric composite material BaTiO3-Ni(Co, Mn) Fe2O4, J. Mater. Sci., vol. 13, pp. 1538–1548, 1978.
   Web of Science ®Google Scholar
• M. Vinyas, K.K. Sunny, D. Harursampath, T. Nguyen-Thoi, and M.A.R. Loja, Influence of interphase on the multi-physics coupled frequency of three-phase smart magneto-electro-elastic composite plates, Compos. Struct., vol. 226, pp. 111254, 2019. DOI: 10.1016/j.compstruct.2019.111254.
   Web of Science ®Google Scholar
• M. Vinyas, Vibration control of skew magneto-electro-elastic plates using active constrained layer damping, Compos. Struct., vol. 208, pp. 600–617, 2019. DOI: 10.1016/j.compstruct.2018.10.046.
   Web of Science ®Google Scholar
• D. Ashwini, R. Bishakha, D. Suvarna, and M. Vikas, Magnetic force microscopic analysis and the magnetoelectric sensor of PLZT-spinel ferrite composite films, J. Magn. Magn. Mater., vol. 489, pp. 165373, 2019.
   Web of Science ®Google Scholar
• M. Li, L. Zhou, and C. Liu, The multi-physical cell-based smoothed finite element method for analyzing transient behavior of functionally grade magneto-electro-elastic thin-walled structures under thermal environment, Thin-Walled Struct., vol. 155, pp. 106876, 2020. DOI: 10.1016/j.tws.2020.106876.
   Web of Science ®Google Scholar
• L. Hu and L. Zheng, Modeling of novel nanoscale mass sensor made of smart FG magneto-electro-elastic nanofilm integrated with graphene layers sciencedirect, Thin-Walled Struct., vol. 151, pp. 106749, 2020.
   Web of Science ®Google Scholar
• E. Pan and F. Han, Exact solution for functionally graded and layered magneto-electro-elastic plates, Int. J. Eng. Sci., vol. 43, no. 3–4, pp. 321–339, 2005. DOI: 10.1016/j.ijengsci.2004.09.006.
   Web of Science ®Google Scholar
• F. Ramirez, P.R. Heyliger, and E. Pan, Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates, Mech. Compos. Mater. Struct., vol. 13, no. 3, pp. 249–266, 2006. DOI: 10.1080/15376490600582750.
   Google Scholar
• D.J. Huang, H.J. Ding, and W.Q. Chen, Analytical solution for functionally graded magneto-electro-elastic plane beams, Int. J. Eng. Sci., vol. 45, no. 2–8, pp. 467–485, 2007. DOI: 10.1016/j.ijengsci.2007.03.005.
   Web of Science ®Google Scholar
• R.K. Bhangale and N. Ganesan, Static analysis of simply supported functionally graded and layered magneto-electro-elastic plate, Int. J. Solids Struct., vol. 43, no. 10, pp. 3230–3253, 2006. DOI: 10.1016/j.ijsolstr.2005.05.030.
   Web of Science ®Google Scholar
• A. Milazzo, A one-dimensional model for dynamic analysis of generally layered magneto-electro-elastic beams, J. Sound Vib., vol. 332, no. 2, pp. 465–483, 2013. DOI: 10.1016/j.jsv.2012.09.004.
   Web of Science ®Google Scholar
• A. Milazzo, Refined equivalent single layer formulations and finite elements for smart laminates free vibrations, Compos. B, vol. 61, pp. 238–253, 2014. DOI: 10.1016/j.compositesb.2014.01.055.
   Web of Science ®Google Scholar
• W.J. Feng and R. Su, Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip, Int. J. Solids Struct., vol. 43, no. 17, pp. 5196–5216, 2006. DOI: 10.1016/j.ijsolstr.2005.07.050.
   Web of Science ®Google Scholar
• A. Shooshtari and S. Razavi, Free vibration analysis of a magneto-electro-elastic doubly-curved shell resting on a pasternak-type elastic foundation, Smart Mater. Struct., vol. 23, no. 10, pp. 105003, 2014. DOI: 10.1088/0964-1726/23/10/105003.
   Web of Science ®Google Scholar
• A. Shooshtari and S. Razavi, Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation, Compos. B, vol. 78, pp. 95–108, 2015. DOI: 10.1016/j.compositesb.2015.03.070.
   Web of Science ®Google Scholar
• F. Ebrahimi, A. Jafari, and M.R. Barati, Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations, Thin-Walled Struct., vol. 119, pp. 33–46, 2017. DOI: 10.1016/j.tws.2017.04.002.
   Web of Science ®Google Scholar
• R. Garcia Lage, C.M. Mota Soares, C.A. Mota Soares, and J.N. Reddy, Layerwise partial mixed finite element analysis of magneto-electro-elastic plates, Comput. Struct., vol. 82, no. 17–19, pp. 1293–1301, 2004. DOI: 10.1016/j.compstruc.2004.03.026.
   Web of Science ®Google Scholar
• C.P. Wu and Y.H. Tsai, Dynamic responses of functionally graded magneto-electro-elastic shells with closed-circuit surface conditions using the method of multiple scales, Eur. J. Mech. A/Solids, vol. 29, no. 2, pp. 166–181, 2010. DOI: 10.1016/j.euromechsol.2009.09.004.
   Web of Science ®Google Scholar
• P.F. Hou and A.Y.T. Leung, The transient responses of magneto-electro-elastic hollow cylinders, Smart Mater. Struct., vol. 13, no. 4, pp. 762–776, 2004. DOI: 10.1088/0964-1726/13/4/014.
   Web of Science ®Google Scholar
• X.Y. Li, H.J. Ding, and W.Q. Chen, Three-dimensional analytical solution for functionally graded magneto-celectro-elastic circular plates subjected to uniform load, Compos. Struct., vol. 83, no. 4, pp. 381–390, 2008. DOI: 10.1016/j.compstruct.2007.05.006.
   Web of Science ®Google Scholar
• J. Sladek, V. Sladek, S. Krahulec, and E. Pan, Analyses of functionally graded plates with a magnetoelectroelastic layer, Smart Mater. Struct., vol. 22, no. 3, pp. 035003, 2013. DOI: 10.1088/0964-1726/22/3/035003.
   Web of Science ®Google Scholar
• S.Q. Zhang, Y.F. Zhao, X. Wang, M. Chen, and R. Schmidt, Static and dynamic analysis of functionally graded magneto-electro-elastic plates and shells, Compos. Struct., vol. 281, pp. 114950, 2022. DOI: 10.1016/j.compstruct.2021.114950.
   Web of Science ®Google Scholar
• J.M.S. Moita, C.M.M. Soares, and C.A.M. Soares, Analyses of magneto-electro-elastic plates using a higher order finite element model, Compos. Struct., vol. 91, no. 4, pp. 421–426, 2009.
   Web of Science ®Google Scholar
• B. Wu, J. Yu, and C. He, Wave propagation in non-homogeneous magneto-electro-elastic plates, J. Sound Vib., vol. 317, no. 1–2, pp. 250–264, 2008.
   Web of Science ®Google Scholar
• J. Sladek, V. Sladek, S. Krahulec, and E. Pan, The mlpg analyses of large deflections of magnetoelectroelastic plates, Eng. Anal. Boundary Elem., vol. 37, no. 4, pp. 673–682, 2013. DOI: 10.1016/j.enganabound.2013.02.001.
   Web of Science ®Google Scholar
• S. Razavi and A. Shooshtari, Nonlinear free vibration of magneto-electro-elastic rectangular plates, Compos. Struct., vol. 119, pp. 377–384, 2015. DOI: 10.1016/j.compstruct.2014.08.034.
   Web of Science ®Google Scholar
• A. Shooshtari and S. Razavi, Large amplitude free vibration of symmetrically laminated magneto-electro-elastic rectangular plates on pasternak type foundation, Mech. Res. Commun., vol. 69, pp. 103–113, 2015. DOI: 10.1016/j.mechrescom.2015.06.011.
   Web of Science ®Google Scholar
• S.C. Kattimani and M.C. Ray, A finite element based assessment of static behavior of multiphase magneto-electro-elastic beams under different thermal loading, Int. J. Mech. Sci., vol. 62, no. 5, pp. 519–535, 2015.
   Google Scholar
• A. Alaimo, I. Benedetti, and A. Milazzo, A finite element formulation for large deflection of multilayered magneto-electro-elastic plates, Compos. Struct., vol. 107, pp. 643–653, 2014. DOI: 10.1016/j.compstruct.2013.08.032.
   Web of Science ®Google Scholar
• S. Shabanpour, S. Razavi, and A. Shooshtari, Nonlinear vibration analysis of laminated magneto-electro-elastic rectangular plate based on third-order shear deformation theory, Iran J. Sci. Technol. Trans. Mech. Eng., vol. 43, no. S1, pp. 211–223, 2019. DOI: 10.1007/s40997-018-0150-4.
   Google Scholar
• X.L. Zhang, Q. Xu, X. Zhao, Y.H. Lia, and J. Yang, Nonlinear analyses of magneto-electro-elastic laminated beams in thermal environments, Compos. Struct., vol. 234, pp. 111524, 2020. DOI: 10.1016/j.compstruct.2019.111524.
   Web of Science ®Google Scholar
• M.N. Rao, R. Schmidt, and K.U. Schroeder, Geometrically nonlinear static FE-simulation of multilayered magneto-electro-elastic composite structures, Compos. Struct., vol. 127, pp. 120–131, 2015. DOI: 10.1016/j.compstruct.2015.03.002.
   Web of Science ®Google Scholar
• K.M. Liew, Z.X. Lei, and L.W. Zhang, Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review, Compos. Struct., vol. 120, pp. 90–97, 2015. DOI: 10.1016/j.compstruct.2014.09.041.
   Web of Science ®Google Scholar
• M. Vinyas, A higher-order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods, Compos. Part B., vol. 158, pp. 286–301, 2019. DOI: 10.1016/j.compositesb.2018.09.086.
   Web of Science ®Google Scholar
• M. Vinyas, D. Harursampath, and S.C. Kattimani, On vibration analysis of functionally graded carbon nanotube reinforced magneto-electro-elastic plates with different electro-magnetic conditions using higher order finite element methods, Defence Technol., vol. 17, no. 1, pp. 287–303, 2021. DOI: 10.1016/j.dt.2020.03.012.
   Web of Science ®Google Scholar
• M. Vinyas, On frequency response of porous functionally graded magneto-electro-elastic circular and annular plates with different electro-magnetic conditions using HSDT, Compos. Struct., vol. 240, pp. 112044, 2020. DOI: 10.1016/j.compstruct.2020.112044.
   Web of Science ®Google Scholar
• M. Vinyas, Interphase effect on the controlled frequency response of three-phase smart magneto-electro-elastic plates embedded with active constrained layer damping: FE study, Mater. Res. Express., vol. 6, no. 12, pp. 125707, 2020. DOI: 10.1088/2053-1591/ab6649.
   Web of Science ®Google Scholar
• M. Vinyas and D. Harursampath, Nonlinear vibration of functionally graded magneto-electro-elastic higher order plates reinforced by CNTs using FEM, Eng. Comput., 2020. DOI:10.1007/s00366-020-01098-5.
   Web of Science ®Google Scholar
• M. Vinyas, Nonlinear deflection of carbon nanotube reinforced multiphase magneto-electro-elastic plates in thermal environment considering pyrocoupling effects, Math. Methods Appl. Sci., pp. 1–21, 2020. DOI:10.1002/mma.6858.
   Web of Science ®Google Scholar
• R. Rostami and M. Mohammadimehr, Vibration control of rotating sandwich cylindrical shell-reinforced nanocomposite face sheet and porous core integrated with functionally graded magneto-electro-elastic layers, Eng. Comput., vol. 38, no. 1, pp. 87–100, 2022. DOI: 10.1007/s00366-020-01052-5.
   Web of Science ®Google Scholar
• M. Mohammadimehr, S.V. Okhravi, and S.M. AkhavanAlavi, Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of cnts with considering open and closed circuits boundary conditions based on FSDT, J. Vib. Control., vol. 24, no. 8, pp. 1551–1569, 2018. DOI: 10.1177/1077546316664022.
   Web of Science ®Google Scholar
• Y. Ni, S. Zhu, J. Sun, Z. Tong, Z. Zhou, X. Xu and C. W. Lim, An accurate model for free vibration of porous magneto-electro-thermo-elastic functionally graded cylindrical shells subjected to multi-field coupled loadings, J. Intell. Mater. Syst. Struct., vol. 32, no. 17, pp. 2006–2023, 2021. DOI: 10.1177/1045389X20986894.
   Web of Science ®Google Scholar
• M. Vinyas and D. Harursampath, Nonlinear vibrations of magneto-electro-elastic doubly curved shells rein forced with carbon nanotubes, Compos. Struct., vol. 253, pp. 112749, 2020. DOI: 10.1016/j.compstruct.2020.112749.
   Web of Science ®Google Scholar
• M. Vinyas, Nonlinear pyrocoupled deflection of viscoelastic sandwich shell with CNT reinforced magneto-electro-elastic facing subjected to electromagnetic loads in thermal environment, Eur. Phys. J. Plus, vol. 136, no. 796, pp. 2–30, 2021.
   Google Scholar
• M. Vinyas and D. Harursampath, Nonlinear deflection analysis of CNT/magneto-electro-elastic smart shells under multi-physics loading, Mech. Adv. Mater. Struct., vol. 29, no.7, pp.1047–1071, 2020. DOI:10.1080/15376494.2020.1805059.
   Google Scholar
• M. Vinyas, Porosity effect on the nonlinear deflection of functionally graded magneto-electro-elastic smart shells under combined loading, Mech. Adv. Mater. Struct., vol. 4, pp. 1–27, 2021.
   Google Scholar
• S.Q. Zhang and R. Schmidt, Static and dynamic FE analysis of piezoelectric integrated thin-walled composite structures with large rotations, Compos. Struct., vol. 112, no. 1, pp. 345–357, 2014. DOI: 10.1016/j.compstruct.2014.02.029.
   Google Scholar
• I. Kreja and R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated shells, Int. J. Non. Linear Mech., vol. 41, no. 1, pp. 101–123, 2006. DOI: 10.1016/j.ijnonlinmec.2005.06.009.
   Web of Science ®Google Scholar
• S.Q. Zhang, Nonlinear Analysis of Thin-Walled Smart Structures. Springer Tracts in Mechanical Engineering, 2021. DOI:10.1007/978-1-4614-6585-0_11.
   Google Scholar