journal article·2026-06

DQM for axisymmetric thermal buckling of 2D-FGM circular plates with variable thickness resting on a two-parameter elastic foundation

Aastha Tanwar, Rashmi Rani

Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (37)

Show source-provided references
1. Alipour, M.M., Shariyat, M.: A power series solution for free vibration of variable thickness Mindlin circular plates with two-directional material heterogeneity and elastic foundations (2011)
2. Arshid, E., Amir, S., Loghman, A.: Thermal buckling analysis of FG graphene nanoplatelets reinforced porous nanocomposite MCST-based annular/circular microplates. Aerosp. Sci. Technol. 111, 106561 (2021). https://doi.org/10.1016/j.ast.2021.10656110.1016/j.ast.2021.106561 ↗
3. Ashoori, A.R., Vanini, S.S.: Thermal buckling of annular microstructure-dependent functionally graded material plates resting on an elastic medium. Compos. Part B Eng. 87, 245–255 (2016). https://doi.org/10.1016/j.compositesb.2015.10.02410.1016/j.compositesb.2015.10.024 ↗
4. Bagheri, H., Kiani, Y., Eslami, M.R.: Asymmetric thermal buckling of annular plates on a partial elastic foundation. J. Therm. Stresses 40(8), 1015–1029 (2017). https://doi.org/10.1080/01495739.2016.126547410.1080/01495739.2016.1265474 ↗
5. Bagheri, H., Kiani, Y., Eslami, M.R.: Asymmetric thermal buckling of temperature dependent annular FGM plates on a partial elastic foundation. Comput. Math. Appl. 75(5), 1566–1581 (2018). https://doi.org/10.1016/j.camwa.2017.11.02110.1016/j.camwa.2017.11.021 ↗
6. Brush, D.O., Almorth, B.O.: Buckling of Bars, Plates and Shells. McGraw-Hill, New York (1975)10.1115/1.3423755 ↗
7. Farhatnia, F., Ghanbari-Mobarakeh, M., Rasouli-Jazi, S., Oveissi, S.: Thermal buckling analysis of functionally graded circular plate resting on the Pasternak elastic foundation via the differential transform method. Facta Univ. Ser. Mech. Eng. 15(3), 545–563 (2017). https://doi.org/10.22190/FUME170104004F10.22190/FUME170104004F ↗
8. Farrokh, M., Mousavi Fard, H.S.: An extension of Carrera unified formulation in polar coordinates for mechanical and thermal buckling analysis of axisymmetric FG circular plate using FEM. Mech. Adv. Mater. Struct. 31(8), 1803–1811 (2024). https://doi.org/10.1080/15376494.2022.214288510.1080/15376494.2022.2142885 ↗
9. Ghatage, P.S., Kar, V.R., Sudhagar, P.E.: On the numerical modelling and analysis of multi-directional functionally graded composite structures: a review. Compos. Struct. 236, 111837 (2020). https://doi.org/10.1016/j.compstruct.2019.11183710.1016/j.compstruct.2019.111837 ↗
10. Ghiasian, S.E., Kiani, Y., Sadighi, M., Eslami, M.R.: Thermal buckling of shear deformable temperature dependent circular/annular FGM plates. Int. J. Mech. Sci. 81, 137–148 (2014). https://doi.org/10.1016/j.ijmecsci.2014.02.00710.1016/j.ijmecsci.2014.02.007 ↗
11. Ghomshei, M.M., Abbasi, V.: Thermal buckling analysis of annular FGM plate having variable thickness under thermal load of arbitrary distribution by finite element method. J. Mech. Sci. Technol. 27(4), 1031–1039 (2013). https://doi.org/10.1007/s12206-013-0211-y10.1007/s12206-013-0211-y ↗
12. Ghomshei, M.M.: A numerical study on the thermal buckling of variable thickness Mindlin circular FGM plate on a two-parameter foundation. Mech. Res. Commun. 108, 103577 (2020). https://doi.org/10.1016/j.mechrescom.2020.10357710.1016/j.mechrescom.2020.103577 ↗
13. Heydari, A., Jalali, A., Nemati, A.: Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation. Appl. Math. Model. 41, 494–507 (2017). https://doi.org/10.1016/j.apm.2016.09.01210.1016/j.apm.2016.09.012 ↗
14. Jalali, S.K., Naei, M.H., Poorsolhjouy, A.: Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method. Mater. Des. 31(10), 4755–4763 (2010). https://doi.org/10.1016/j.matdes.2010.05.00910.1016/j.matdes.2010.05.009 ↗
15. Kiani, Y., Eslami, M.: Instability of heated circular FGM plates on a partial Winkler-type foundation. Acta Mech. 224(5), 1045–1060 (2013). https://doi.org/10.1007/s00707-012-0800-310.1007/s00707-012-0800-3 ↗
16. Kumar, V., Singh, S.J., Saran, V.H., Harsha, S.P.: Vibration characteristics of porous FGM plate with variable thickness resting on Pasternak’s foundation. Eur. J. Mech. A. Solids 85, 104124 (2021). https://doi.org/10.1016/j.euromechsol.2020.10412410.1016/j.euromechsol.2020.104124 ↗
17. Lakhdar, Z., Chorfi, S.M., Belalia, S.A., Khedher, K.M., Alluqmani, A.E., Tounsi, A., Yaylacı, M.: Free vibration and bending analysis of porous bi-directional FGM sandwich shell using a TSDT p-version finite element method. Acta Mech. 235(6), 3657–3686 (2024). https://doi.org/10.1007/s00707-024-03909-y10.1007/s00707-024-03909-y ↗
18. Lal, R., Rani, R.: On radially symmetric vibrations of non-uniform annular sandwich plates. Thin-Walled Struct. 94, 562–576 (2015). https://doi.org/10.1016/j.tws.2015.05.00910.1016/j.tws.2015.05.009 ↗
19. Liew, K.M., Han, J.B., Xiao, Z.M.: Vibration analysis of circular Mindlin plates using the differential quadrature method. J. Sound Vib. 205(5), 617–630 (1997). https://doi.org/10.1006/jsvi.1997.103510.1006/jsvi.1997.1035 ↗
20. Mahinzare, M., Barooti, M.M., Ghadiri, M.: Vibrational investigation of the spinning bi-dimensional functionally graded (2-FGM) micro plate subjected to thermal load in thermal environment. Microsyst. Technol. 24(3), 1695–1711 (2018). https://doi.org/10.1007/s00542-017-3544-010.1007/s00542-017-3544-0 ↗
21. Özakça, M., Tayşi, N., Kolcu, F.: Buckling analysis and shape optimization of elastic variable thickness circular and annular plates-I. Finite element formulation. Eng. Struct. 25(2), 181–192 (2003). https://doi.org/10.1016/S0141-0296(02)00133-510.1016/S0141-0296(02)00133-5 ↗
22. Pu, Z., Xu, Q., Yang, Y., Luo, Q., Li, Y.: Symmetric and asymmetric vibration and buckling of a thermal rotating annular-plate with Pasternak foundation. Thin-Walled Struct. 204, 112342 (2024). https://doi.org/10.1016/j.tws.2024.11234210.1016/j.tws.2024.112342 ↗
23. Quan, J.R., Chang, C.T.: New insights in solving distributed system equations by the quadrature method-I. Analysis. Comput. Chem. Eng. 13(7), 779–788 (1989). https://doi.org/10.1016/0098-1354(89)85051-310.1016/0098-1354(89)85051-3 ↗
24. Rad, A.B.: Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation. Appl. Math. Comput. 256, 276–298 (2015). https://doi.org/10.1016/j.amc.2015.01.02610.1016/j.amc.2015.01.026 ↗
25. Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton (2004). https://doi.org/10.1201/b1240910.1201/b12409 ↗
26. Reddy, J.N.: Theory and Analysis of Elastic Plates and Shells. CRC Press, London/New York (2008). https://doi.org/10.1201/978084938416510.1201/9780849384165 ↗
27. Shu, C., Richards, B.E.: Application of generalized differential quadrature to solve two-dimensional incompressible Navier–Stokes equations. Int. J. Numer. Methods Fluids 15(7), 791–798 (1992). https://doi.org/10.1002/fld.165015070410.1002/fld.1650150704 ↗
28. Sun, Y., Wang, M., Li, S.: Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints. Appl. Math. Mech. 38(10), 1459–1470 (2017). https://doi.org/10.1007/s10483-017-2242-610.1007/s10483-017-2242-6 ↗
29. Swaminathan, K., Naveenkumar, D.T., Zenkour, A.M., Carrera, E.: Stress, vibration and buckling analyses of FGM plates—a state-of-the-art review. Compos. Struct. 120, 10–31 (2015). https://doi.org/10.1016/j.compstruct.2014.09.07010.1016/j.compstruct.2014.09.070 ↗
30. Swaminathan, K., Sangeetha, D.M.: Thermal analysis of FGM plates—a critical review of various modeling techniques and solution methods. Compos. Struct. 160, 43–60 (2017). https://doi.org/10.1016/j.compstruct.2016.10.04710.1016/j.compstruct.2016.10.047 ↗
31. Tran, L.V., Thai, C.H., Nguyen-Xuan, H.: An isogeometric finite element formulation for thermal buckling analysis of functionally graded plates. Finite Elem. Anal. Des. 73, 65–76 (2013). https://doi.org/10.1016/j.finel.2013.05.00310.1016/j.finel.2013.05.003 ↗
32. Van Do, V.N., Lee, C.H.: Nonlinear thermal buckling analyses of functionally graded circular plates using higher-order shear deformation theory with a new transverse shear function and an enhanced mesh-free method. Acta Mech. 229(9), 3787–3811 (2018). https://doi.org/10.1007/s00707-018-2190-710.1007/s00707-018-2190-7 ↗
33. Vasara, D., Khare, S., Malguri, A., Kumar, R.: Numerical investigation on free vibration response of bi-directional porous functionally graded circular/annular plates. Mech. Adv. Compos. Struct. 9(2), 243–262 (2022)
34. Wang, C.M., Xiang, Y., Kitipornchai, S., Liew, K.M.: Axisymmetric buckling of circular Mindlin plates with ring supports. J. Struct. Eng. 119(3), 782–793 (1993). https://doi.org/10.1061/(ASCE)0733-9445(1993)119:3(782)10.1061/(ASCE)0733-9445(1993)119:3(782) ↗
35. Wu, H., Zheng, Z., Guo, J., Li, L., Bao, Y., Yang, J.: Axisymmetric thermal postbuckling of functionally graded graphene nanocomposite annular plates with various geometric imperfections. Thin-Walled Struct. 185, 110594 (2023). https://doi.org/10.1016/j.tws.2023.11059410.1016/j.tws.2023.110594 ↗
36. Yang, Y., Chen, B., Lin, W., Li, Y., Dong, Y.: Vibration and symmetric thermal buckling of asymmetric annular sandwich plates with piezoelectric/GPLRC layers rested on foundation. Aerosp. Sci. Technol. 110, 106495 (2021). https://doi.org/10.1016/j.ast.2021.10649510.1016/j.ast.2021.106495 ↗
37. Zhang, C., Pan, Z., Fu, S., Yang, H., Xue, Y.: Dynamic stiffness formulation for vibration characteristics analysis of bi-dimensional functionally graded annular plate of variational thickness. J. Mech. Sci. Technol. 38(4), 1649–1660 (2024). https://doi.org/10.1007/s12206-024-0303-x10.1007/s12206-024-0303-x ↗