[1] Y. Cao, M. Khorami, S. Baharom, H. Assilzadeh, and M. H. Dindarloo, "The effects of multi-directional functionally graded materials on the natural frequency of the doubly-curved nanoshells," Composite Structures, vol. 258, p. 113403, Feb. 2021, doi: 10.1016/j.compstruct.2020.113403.
[2] E. Amir, S. Arshid, S. A. Rasti-Alhosseini, and A. Loghman, "Quasi-3D tangential shear deformation theory for size-dependent free vibration analysis of three-layered FG porous micro rectangular plate integrated by nano-composite faces in hygrothermal environment," Journal of Thermal Stresses, vol. 43, no. 2, pp. 133-156, 2020, doi: 10.1080/01495739.2019.1660601.
[3] C. T. Loy, K. Y. Lam, and J. N. Reddy, "Vibration of functionally graded cylindrical shells," International Journal of Mechanical Sciences, vol. 41, no. 3, pp. 309-324, Mar. 1999, doi: 10.1016/S0020-7403(98)00054-X.
[4] Y. Wang, R. Zeng, and M. Safarpour, "Vibration analysis of FG-GPLRC annular plate in a thermal environment," Mechanics Based Design of Structures and Machines, vol. 50, no. 1, pp. 352-370, 2022, doi: 10.1080/15397734.2020.1717963.
[5] Z. Lakhdar et al., "Free vibration and bending analysis of porous bi-directional FGM sandwich shell using a TSDT p-version finite element method," Acta Mechanica, vol. 235, no. 6, pp. 3657-3686, Jun. 2024, doi: 10.1007/s00707-024-03925-w.
[6] M. Nebab et al., "Fundamental frequencies of cracked FGM beams with influence of porosity and Winkler/Pasternak/Kerr foundation support using a new quasi-3D HSDT," Mechanics of Advanced Materials and Structures, vol. 31, no. 28, pp. 10639-10651, Dec. 2024, doi: 10.1080/15376494.2023.2262951.
[7] V. N. V. Hoang and P. T. Thanh, "A new trigonometric shear deformation plate theory for free vibration analysis of FGM plates with two-directional variable thickness," Thin-Walled Structures, vol. 194, p. 111310, Jan. 2024, doi: 10.1016/j.tws.2023.111310.
[8] M. Javani, M. R. Eslami, and Y. Kiani, "Active control of thermally induced vibrations of temperature-dependent FGM circular plate with piezoelectric sensor/actuator layers," Aerospace Science and Technology, vol. 146, p. 108997, Mar. 2024, doi: 10.1016/j.ast.2024.108997.
[9] N. Van Thinh and H. Van Tung, "Free vibration and dynamical analyses of FGM plates with porosity and tangential edge constraints," Journal of Vibration Engineering & Technologies, vol. 12, no. 3, pp. 5291-5305, Apr. 2024, doi: 10.1007/s42417-023-01147-1.
[10] A. Kaveh, H. Babaei, S. Zavari, E. Arshid, and Ö. Civalek, "Vibrational response of a sandwich microplate considering the impact of flexoelectricity and based on a novel porous-FGM formulation," Mechanics Based Design of Structures and Machines, vol. 52, no. 11, pp. 9122-9143, Nov. 2024, doi: 10.1080/15397734.2024.2346789.
[11] J. Zamani, B. Soltani, and M. Aghaei, "Analytical Investigation of Elastic Thin-Walled Cylinder and Truncated Cone Shell Intersection Under Internal Pressure," Journal of Pressure Vessel Technology, vol. 136, no. 5, p. 051201, Oct. 2014, doi: 10.1115/1.4027690.
[12] J. N. Reddy, S. El-Borgi, and J. Romanoff, "Non-linear analysis of functionally graded micro beams using Eringen׳ s non-local differential model," International Journal of Non-Linear Mechanics, vol. 67, pp. 308-318, Dec. 2014, doi: 10.1016/j.ijnonlinmec.2014.09.003.
[13] H.-T. Thai and S.-E. Kim, "A size-dependent functionally graded Reddy plate model based on a modified couple stress theory," Composites Part B: Engineering, vol. 45, no. 1, pp. 1636-1645, Feb. 2013, doi: 10.1016/j.compositesb.2012.05.035.
[14] J. L. Mantari, A. S. Oktem, and C. Guedes Soares, "Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory," Composites Part B: Engineering, vol. 43, no. 8, pp. 3348-3360, Dec. 2012, doi: 10.1016/j.compositesb.2012.01.062.
[15] J. Lei, Y. He, B. Zhang, Z. Gan, and P. Zeng, "A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory," International Journal of Mechanical Sciences, vol. 104, pp. 8-23, Dec. 2015, doi: 10.1016/j.ijmecsci.2015.09.016.
[16] A. Farzam and B. Hassani, "A new efficient shear deformation theory for FG plates with in-plane and through-thickness stiffness variations using isogeometric approach," Mechanics of Advanced Materials and Structures, vol. 26, no. 1, pp. 14-14, Jan. 2019, doi: 10.1080/15376494.2018.1472345.
[17] P. A. Demirhan and V. Taskin, "Levy solution for bending analysis of functionally graded sandwich plates based on four variable plate theory," Composite Structures, vol. 177, pp. 80-95, Oct. 2017, doi: 10.1016/j.compstruct.2017.06.048.
[18] P. Van Vinh and A. M. Zenkour, "Vibration analysis of functionally graded sandwich porous plates with arbitrary boundary conditions: a new general viscoelastic Winkler–Pasternak foundation approach," Engineering with Computers, pp. 1-29, Jan. 2025, doi: 10.1007/s00366-024-02110-y.
[19] D. C. C. Lam, F. Yang, A. C. M. Chong, J. Wang, and P. Tong, "Experiments and theory in strain gradient elasticity," Journal of the Mechanics and Physics of Solids, vol. 51, no. 8, pp. 1477-1508, Aug. 2003, doi: 10.1016/S0022-5096(03)00053-X.
[20] J. N. Reddy, "A simple higher-order theory for laminated composite plates," Journal of Applied Mechanics, vol. 51, no. 4, pp. 745-752, Dec. 1984, doi: 10.1115/1.3167719.
[21] L. Yin, Q. Qian, L. Wang, and W. Xia, "Vibration analysis of microscale plates based on modified couple stress theory," Acta Mechanica Solida Sinica, vol. 23, no. 5, pp. 386-393, Oct. 2010, doi: 10.1016/S0894-9166(10)60040-8.
