References
- D. Chen, J. Yang, and S. Kitipornchai, Free and forced vibrations of shear deformable functionally graded porous beams, Int. J. Mech. Sci., vol. 108–109, pp. 14–22, 2016. DOI: https://doi.org/10.1016/j.ijmecsci.2016.01.025.
- D. Chen, S. Kitipornchai, and J. Yang, Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core, Thin-Walled Struct., vol. 107, pp. 39–48, 2016. DOI: https://doi.org/10.1016/j.tws.2016.05.025.
- D. Chen, J. Yang, and S. Kitipornchai, Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams, Compos. Sci. Technol., vol. 142, pp. 235–245, 2017. DOI: https://doi.org/10.1016/j.compscitech.2017.02.008.
- M. Jabbari, A. Mojahedin, A. R. Khorshidvand, and M. R. Eslami, Buckling analysis of a functionally graded thin circular plate made of saturated porous materials, J. Eng. Mech., vol. 140, no. 2, pp. 287–295, 2014. DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0000663.
- M. Jabbari, A. Mojahedin, and M. Haghi, Buckling analysis of thin circular FG plates made of saturated porous-soft ferromagnetic materials in transverse magnetic field, Thin-Walled Struct., vol. 85, pp. 50–56, 2014. DOI: https://doi.org/10.1016/j.tws.2014.07.018.
- A. S. Rezaei, A. R. Saidi, M. Abrishamdari, and M. P. Mohammadi, Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: An analytical approach, Thin-Walled Struct., vol. 120, pp. 366–377, 2017. DOI: https://doi.org/10.1016/j.tws.2017.08.003.
- F. Ebrahimi and A. Jafari, A four-variable refined shear-deformation beam theory for thermo-mechanical vibration analysis of temperature-dependent FGM beams with porosities, Mech. Adv. Mater. Struct., vol. 25, no. 3, pp. 212–224, 2018. DOI: https://doi.org/10.1080/15376494.2016.1255820.
- A. Mojahedin, M. Jabbari, A. R. Khorshidvand, and M. R. Eslami, Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory, Thin-Walled Struct., vol. 99, pp. 83–90, 2016. DOI: https://doi.org/10.1016/j.tws.2015.11.008.
- F. Ebrahimi and M. Mokhtari, Transverse vibration analysis of rotating porous beam with functionally graded microstructure using the differential transform method, J. Braz. Soc. Mech. Sci. Eng., vol. 37, no. 4, pp. 1435–1444, 2015. DOI: https://doi.org/10.1007/s40430-014-0255-7.
- F. Ebrahimi and M. Zia, Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities, Acta Astronaut. (UK), vol. 116, pp. 117–125, 2015. DOI: https://doi.org/10.1016/j.actaastro.2015.06.014.
- N. Shafiei, A. Mousavi, and M. Ghadiri, On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams, Int. J. Eng. Sci., vol. 106, pp. 42–56, 2016. DOI: https://doi.org/10.1016/j.ijengsci.2016.05.007.
- F. Ebrahimi, F. Ghasemi, and E. Salari, Investigating thermal effects on vibration behavior of temperature-dependent compositionally graded Euler beams with porosities, Meccanica, vol. 51, no. 1, pp. 223–249, 2016. DOI: https://doi.org/10.1007/s11012-015-0208-y.
- M. R. Barati and A. M. Zenkour, Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions, J. Vib. Control, vol. 24, no. 10, pp. 1910–1926, 2018. DOI: https://doi.org/10.1177/1077546316672788.
- F. Ebrahimi and S. Habibi, Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate, Steel Compos. Struct., vol. 20, no. 1, pp. 205–225, 2016. DOI: https://doi.org/10.12989/scs.2016.20.1.205.
- Y. Wang and D. Wu, Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory, Aerosp. Sci. Technol., vol. 66, pp. 83–91, 2017. DOI: https://doi.org/10.1016/j.ast.2017.03.003.
- K. Gao, W. Gao, B. Wu, D. Wu, and C. Song, Nonlinear primary resonance of functionally graded porous cylindrical shells using the method of multiple scales, Thin-Walled Struct., vol. 125, pp. 281–293, 2018. DOI: https://doi.org/10.1016/j.tws.2017.12.039.
- C. Zhu, X. Fang, J. Liu, and G. Nie, Smart control of large amplitude vibration of porous piezoelectric conical sandwich panels resting on nonlinear elastic foundation, Compos. Struct., vol. 246, pp. 112384, 2020. DOI: https://doi.org/10.1016/j.compstruct.2020.112384.
- C. S. Zhu, X. Q. Fang, J. X. Liu, and H. Y. Li, Surface energy effect on nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells, Eur. J. Mech. A/Solids, vol. 66, pp. 423–432, 2017. DOI: https://doi.org/10.1016/j.euromechsol.2017.08.001.
- C. Zhu, X. Fang, and J. Liu, A new approach for smart control of size-dependent nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved nanoshells, Appl. Math. Modell., vol. 77, pp. 137–168, 2020. DOI: https://doi.org/10.1016/j.apm.2019.07.027.
- T. Belica, M. Malinowski, and K. Magnucki, Dynamic stability of an isotropic metal foam cylindrical shell subjected to external pressure and axial compression, J. Appl. Mech., vol. 78, no. 4, pp. 041003, 2011. DOI: https://doi.org/10.1115/1.4003768.
- T. Belica and K. Magnucki, Stability of a porous-cellular cylindrical shell subjected to combined loads, J. Theor. Appl. Mech., vol. 51, no. 4, pp. 927–936, 2013.
- M. Ghadiri and H. Safarpour, Free vibration analysis of size-dependent functionally graded porous cylindrical microshells in thermal environment, J. Therm. Stresses, vol. 40, no. 1, pp. 55–71, 2017. DOI: https://doi.org/10.1080/01495739.2016.1229145.
- 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: https://doi.org/10.1088/2053-1591/ab6649.
- M. Vinyas, Vibration control of skew magneto-electro-elastic plates using active constrained layer damping, Compos. Struct., vol. 208, pp. 600–617, 2019. DOI: https://doi.org/10.1016/j.compstruct.2018.10.046.
- M. Vinyas and S. C. Kattimani, Investigation of the effect of BaTiO3/CoFe2O4 particle arrangement on the static response of magneto-electro-thermo-elastic plates, Compos. Struct., vol. 185, pp. 51–64, 2018. DOI: https://doi.org/10.1016/j.compstruct.2017.10.073.
- M. Vinyas, S. C. Kattimani, M. A. R. Loja, and M. Vishwas, Effect of BaTiO3/CoFe2O4 micro-topological textures on the coupled static behaviour of magneto-electro-thermo-elastic beams in different thermal environment, Mater. Res. Express, vol. 5, no. 12, pp. 125702, 2018. DOI: https://doi.org/10.1088/2053-1591/aae0c8.
- 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: https://doi.org/10.1016/j.ijengsci.2007.03.005.
- 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: https://doi.org/10.1016/j.jsv.2012.09.004.
- A. Milazzo, Refined equivalent single layer formulations and finite elements for smart laminates free vibrations, Compos. Part B Eng., vol. 61, pp. 238–253, 2014. DOI: https://doi.org/10.1016/j.compositesb.2014.01.055.
- M. Vinyas, D. Harursampath, and N. T. Trung, Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges, Defence Technol., vol. 16, no. 5, pp. 1019–1038, 2020. DOI: https://doi.org/10.1016/j.dt.2019.11.016.
- 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: https://doi.org/10.1016/j.ijengsci.2004.09.006.
- F. Ramirez, P. R. Heyliger, and E. Pan, Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates, Mech. Adv. Mater. Struct., vol. 13, no. 3, pp. 249–266, 2006. DOI: https://doi.org/10.1080/15376490600582750.
- W. J. Feng and R. K. L. 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: https://doi.org/10.1016/j.ijsolstr.2005.07.050.
- 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 Solid, vol. 29, no. 2, pp. 166–181, 2010. DOI: https://doi.org/10.1016/j.euromechsol.2009.09.004.
- R. K. Bhangale and N. Ganesan, Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells, J. Sound Vib., vol. 288, no. 1–2, pp. 412–422, 2005. DOI: https://doi.org/10.1016/j.jsv.2005.04.008.
- C. P. Wu and Y. H. Tsai, Static behavior of functionally graded magneto-electro-elastic shells under electric displacement and magnetic flux, Int. J. Eng. Sci., vol. 45, no. 9, pp. 744–769, 2007. DOI: https://doi.org/10.1016/j.ijengsci.2007.05.002.
- M. Vinyas and S. C. Kattimani, Multiphysics response of magneto-electro-elastic beams in thermo-mechanical environment, Coupled Syst. Mech., vol. 6, no. 3, pp. 351–368, 2017.
- X. Y. Li, H. J. Ding, and W. Q. Chen, Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load, Compos. Struct., vol. 83, no. 4, pp. 381–390, 2008. DOI: https://doi.org/10.1016/j.compstruct.2007.05.006.
- J. Sladek, V. Sladek, S. Krahulec, C. S. Chen, and D. L. Young, Analyses of circular magnetoelectroelastic plates with functionally graded material properties, Mech. Adv. Mater. Struct., vol. 22, no. 6, pp. 479–489, 2015. DOI: https://doi.org/10.1080/15376494.2013.807448.
- M. Vinyas and S. C. Kattimani, Static studies of stepped functionally graded magneto-electro-elastic beam subjected to different thermal loads, Compos. Struct., vol. 163, pp. 216–237, 2017. DOI: https://doi.org/10.1016/j.compstruct.2016.12.040.
- M. Vinyas and S. C. Kattimani, Static analysis of stepped functionally graded magneto-electro-elastic plates in thermal environment: A finite element study, Compos. Struct., vol. 178, pp. 63–85, 2017. DOI: https://doi.org/10.1016/j.compstruct.2017.06.068.
- M. Vinyas, J. S. Piyush, and S. C. Kattimani, Influence of coupled fields on free vibration and static behaviour of functionally graded magneto-electro-thermo-elastic plate, J. Intell. Mater. Syst. Struct., vol. 29, no. 7, pp. 1430–1455, 2017.
- M. Vinyas, Computational analysis of smart magneto-electro-elastic materials and structures: Review and classification, Arch. Comput. Methods Eng., 2020. DOI: https://doi.org/10.1007/s11831-020-09406-4.
- 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.
- R. G. Lage, C. M. M. Soares, C. A. M. 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: https://doi.org/10.1016/j.compstruc.2004.03.026.
- A. Shooshtari and S. Razavi, Vibration analysis of a magnetoelectroelastic rectangular plate based on a higher-order shear deformation theory, Lat. Am. J. Solids Struct., vol. 13, no. 3, pp. 554–572, 2016. DOI: https://doi.org/10.1590/1679-78251831.
- M. Vinyas and S. C. Kattimani, Finite element evaluation of free vibration characteristics of magneto-electro-elastic plates in hygrothermal environment using higher order shear deformation theory, Compos. Struct., vol. 202, pp. 1339–1352, 2018. DOI: https://doi.org/10.1016/j.compstruct.2018.06.069.
- M. Vinyas, S. C. Kattimani, D. Harursampath, and T. Nguyen-Thoi, Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment, Smart Struct. Syst., vol. 24, no. 2, pp. 267–292, 2019.
- M. Vinyas, G. Nischith, M. A. R. Loja, F. Ebrahimi, and N. D. Duc, Numerical analysis of the vibration response of skew magneto-electro-elastic plates based on the higher-order shear deformation theory, Compos. Struct., vol. 214, pp. 132–142, 2019. DOI: https://doi.org/10.1016/j.compstruct.2019.02.010.
- M. Vinyas, A higher order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods, Compos. Part B: Eng., vol. 158, pp. 286–301, 2019. DOI: https://doi.org/10.1016/j.compositesb.2018.09.086.
- M. Vinyas, D. Harursampath, and Trung Nguyen-Thoi, A higher order coupled frequency characteristics study of smart magneto-electro-elastic composite plates with cut-outs using finite element method, Def. Technol., vol. 17, no. 1, pp. 100–118, 2021. DOI: https://doi.org/10.1016/j.dt.2020.02.009.
- M. Vinyas, K. K. Sunny, D. Harursampath, N. T. Trung, 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: https://doi.org/10.1016/j.compstruct.2019.111254.
- M. Vinyas, A. S. Sandeep, N. T. Trung, F. Ebrahimi, and N. D. Duc, A finite element based assessment of free vibration behaviour of circular and annular magneto-electro-elastic plates using higher order shear deformation theory, J. Intell. Mater. Syst. Struct., vol. 30, no. 16, pp. 2478–2501, 2019. DOI: https://doi.org/10.1177/1045389X19862386.
- 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: https://doi.org/10.1016/j.compstruct.2020.112044.
- 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, Def. Technol., vol. 17, no. 1, pp. 287–303, 2021. DOI: https://doi.org/10.1016/j.dt.2020.03.012.
- M. Vinyas, D. Harursampath, and S. C. Kattimani, Thermal response analysis of multi-layered magneto-electro-thermo-elastic plates using Reddy’s third order shear deformation theory, Struct. Eng. Mech., vol. 73, no. 6, pp. 667–684, 2020.
- M. Mohammadimehr, S. V. Okhravi, and S. M. Akhavan Alavi, 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: https://doi.org/10.1177/1077546316664022.
- E. Carrera, S. Valvano, and G. M. Kulikov, Multilayered plate elements with node-dependent kinematics for electro-mechanical problems, Int. J. Smart Nano Mater., vol. 9, no. 4, pp. 279–317, 2018. DOI: https://doi.org/10.1080/19475411.2017.1376722.
- E. Carrera and S. Valvano, Analysis of laminated composite structures with embedded piezoelectric sheets by variable kinematic shell elements, J. Intell. Mater. Syst. Struct., vol. 28, no. 20, pp. 2959–2987, 2017. DOI: https://doi.org/10.1177/1045389X17704913.
- E. Carrera, S. Valvano, and G. M. Kulikov, Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics, Int. J. Smart Nano Mater., vol. 9, no. 1, pp. 1–33, 2018. DOI: https://doi.org/10.1080/19475411.2017.1414084.
- 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: https://doi.org/10.1016/j.enganabound.2013.02.001.
- C. X. Xue, E. N. Pan, S. Y. Zhang, and H. J. Chu, Large deflection of a rectangular magnetoelectroelastic thin plate, Mech. Res. Commun., vol. 38, no. 7, pp. 518–523, 2011. DOI: https://doi.org/10.1016/j.mechrescom.2011.07.003.
- S. Razavi and A. Shooshtari, Nonlinear free vibration of magneto-electro-elastic rectangular plates, Compos. Struct., vol. 119, pp. 377–384, 2015. DOI: https://doi.org/10.1016/j.compstruct.2014.08.034.
- A. Shooshtari and S. Razavi, Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation, Compos. Part B: Eng., vol. 78, pp. 95–108, 2015. DOI: https://doi.org/10.1016/j.compositesb.2015.03.070.
- 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: https://doi.org/10.1016/j.compstruct.2013.08.032.
- S. C. Kattimani and M. C. Ray, Active control of large amplitude vibrations of smart magneto-electro-elastic doubly curved shells, Int. J. Mech. Mater. Des., vol. 10, no. 4, pp. 351–378, 2014. DOI: https://doi.org/10.1007/s10999-014-9252-3.
- J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, Cambridge, 2004.
- A. Milazzo, Large deflection of magneto-electro-elastic laminated plates, Appl. Math. Modell., vol. 38, no. 5–6, pp. 1737–1752, 2014. DOI: https://doi.org/10.1016/j.apm.2013.08.034.