Nonlinear thermo-mechanical axisymmetric stability of FG-GPLRC spherical shells and circular plates resting on nonlinear elastic medium

References

• Alavi SH, Eipakchi H. 2020. On the asymmetric transient responses of annular/circular viscoelastic plates based on shear deformation theory: an analytical approach. Sh. Offshore Struct. 15(2):110–122. doi:10.1080/17445302.2019.1589048.
   Web of Science ®Google Scholar
• Al-Furjan MSH, Dehini R, Khorami M, Habibi M, Jung DW. 2021a. On the dynamics of the ultra-fast rotating cantilever orthotropic piezoelectric nanodisk based on nonlocal strain gradient theory. Compos Struct. 255:112990. doi:10.1016/j.compstruct.2020.112990.
   Web of Science ®Google Scholar
• Al-Furjan MSH, Samimi-Sohrforozani E, Habibi M, Jung DW, Safarpour H. 2021b. Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory. Compos Struct. 257:113152. doi:10.1016/j.compstruct.2020.113152.
   Web of Science ®Google Scholar
• Alibeigloo A. 2020. Three-dimensional thermoelasticity analysis of graphene platelets reinforced cylindrical panel. Eur J Mech A Solids. 81:103941. doi:10.1016/j.euromechsol.2019.103941.
   Web of Science ®Google Scholar
• Ansari R, Hassani R, Gholami R, Rouhi H. 2021. Buckling and postbuckling of plates made of FG-GPL-reinforced porous nanocomposite with various shapes and boundary conditions. Int J Struct Stab Dyn. 21:2150063. doi:10.1142/S0219455421500632.
   Web of Science ®Google Scholar
• Bagheri H, Kiani Y, Bagheri N, Eslami MR. 2022. Free vibrations of functionally graded material cylindrical shell closed with two spherical caps. Sh Offshore Struct. 17(4):939–951. doi:10.1080/17445302.2021.1889169.
   Web of Science ®Google Scholar
• Bai Y, Alzahrani B, Baharom S, Habibi M. 2022. Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure. Eng Comput. 38(Suppl 5):3699–3724. doi:10.1007/s00366-020-01191-9.
   Web of Science ®Google Scholar
• Blooriyan S, Ansari R, Darvizeh A, Gholami R, Rouhi H. 2019. Postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach. Appl Math Mech. 40:1001–1016. doi:10.1007/s10483-019-2498-8.
   Google Scholar
• Boroujerd MS, Eslami MR. 2014. Axisymmetric snap-through behavior of Piezo-FGM shallow clamped spherical shells under thermo-electro-mechanical loading. Int J Press Vessel Pip. 120-121:19–26. doi:10.1016/j.ijpvp.2014.03.008.
   Web of Science ®Google Scholar
• Boroujerdy MS, Eslami MR. 2013. Nonlinear axisymmetric thermomechanical response of piezo-FGM shallow spherical shells. Arch Appl Mech. 83:1681–1693. doi:10.1007/s00419-013-0769-y.
   Web of Science ®Google Scholar
• Dai Z, Zhang L, Bolandi SY, Habibi M. 2021. On the vibrations of the non-polynomial viscoelastic composite open-type shell under residual stresses. Compos Struct. 263:113599. doi:10.1016/j.compstruct.2021.113599.
   Web of Science ®Google Scholar
• Davoudvand A, Arvin H, Kiani Y. 2022. Thermal backbone curves of nanocomposite beams reinforced with graphene platelet on elastic foundation. Int J Struct Stab Dyn. 22:2250147. doi:10.1142/S0219455422501474.
   Web of Science ®Google Scholar
• Doan CV, Nam VH. 2022. Large deflection bending analysis of FG-GPLRC doubly curved thin shallow shells stiffened by oblique stiffeners. CIGOS 2021. Emerging Technol Appl Green Infrastruct. 203:351–360. doi:10.1007/978-981-16-7160-9_35.
   Google Scholar
• Esmaeili HR, Kiani Y, Beni YT. 2022. Vibration characteristics of composite doubly curved shells reinforced with graphene platelets with arbitrary edge supports. Acta Mech. 233:665–683. doi:10.1007/s00707-021-03140-z.
   Web of Science ®Google Scholar
• Gholami R, Ansari R. 2017. Large deflection geometrically nonlinear analysis of functionally graded multilayer graphene platelet-reinforced polymer composite rectangular plates. Compos Struct. 180:760–771. doi:10.1016/j.compstruct.2017.08.053.
   Web of Science ®Google Scholar
• Gholami R, Ansari R. 2019. Nonlinear stability and vibration of pre/post-buckled multilayer FG-GPLRPC rectangular plates. Appl Math Model. 65:627–660. doi:10.1016/j.apm.2018.08.038.
   Web of Science ®Google Scholar
• Ghomshei MM. 2020. A numerical study on the thermal buckling of variable thickness Mindlin circular FGM plate on a two-parameter foundation. Mech Res Commun. 108:103577. doi:10.1016/j.mechrescom.2020.103577.
   Web of Science ®Google Scholar
• Heydarpour Y, Malekzadeh P, Gholipour F. 2019. Thermoelastic analysis of FG-GPLRC spherical shells under thermo-mechanical loadings based on lord-shulman theory. Compos Part B Eng. 164:400–424. doi:10.1016/j.compositesb.2018.12.073.
   Web of Science ®Google Scholar
• Heydarpour Y, Malekzadeh P, Zhu H. 2022. Three-Dimensional response of multilayer FG-GPLRC spherical panels under blast loading. Int J Struct Stab Dyn. 22:2250111. doi:10.1142/S0219455422501115.
   Web of Science ®Google Scholar
• Heydarpour Y, Mohammadzaheri M, Ghodsi M, Soltani P, AlJahwari F, Bahadur I, Al-Amri B. 2020. Application of the hybrid DQ- heaviside-NURBS method for dynamic analysis of FG-GPLRC cylindrical shells subjected to impulse load. Thin-Walled Struct. 155:106914. doi:10.1016/j.tws.2020.106914.
   Web of Science ®Google Scholar
• Huang X, Hao H, Oslub K, Habibi M, Tounsi A. 2022. Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem. Eng Comput. 38(Suppl 5):4163–4179. doi:10.1007/s00366-021-01399-3.
   Web of Science ®Google Scholar
• Huang X, Yang J, Yang Z. 2021. Thermo-elastic analysis of functionally graded graphene nanoplatelets (GPLs) reinforced closed cylindrical shells. Appl Math Model. 97:754–770. doi:10.1016/j.apm.2021.04.027.
   Web of Science ®Google Scholar
• Huo J, Zhang G, Ghabussi A, Habibi M. 2021. Bending analysis of FG-GPLRC axisymmetric circular/annular sector plates by considering elastic foundation and horizontal friction force using 3D-poroelasticity theory. Compos Struct. 276:114438. doi:10.1016/j.compstruct.2021.114438.
   Web of Science ®Google Scholar
• Javani M, Kiani Y, Eslami MR. 2020. Thermal buckling of FG graphene platelet reinforced composite annular sector plates. Thin-Walled Struct. 148:106589. doi:10.1016/j.tws.2019.106589.
   Web of Science ®Google Scholar
• Javani M, Kiani Y, Eslami MR. 2021. Geometrically nonlinear free vibration of FG-GPLRC circular plate on the nonlinear elastic foundation. Compos Struct. 261:113515. doi:10.1016/j.compstruct.2020.113515.
   Web of Science ®Google Scholar
• Jermsittiparsert K, Ghabussi A, Forooghi A, Shavalipour A, Habibi M, Jung DW, Safa M. 2022. Critical voltage, thermal buckling and frequency characteristics of a thermally affected GPL reinforced composite microdisk covered with piezoelectric actuator. Mech Based Des Struct Mach. 50(4):1331–1353. doi:10.1080/15397734.2020.1748052.
   Web of Science ®Google Scholar
• Kholdi M, Saeedi S, Zargar Moradi SA, Loghman A, Arefi M. 2022. A successive approximation method for thermo-elasto-plastic analysis of a reinforced functionally graded rotating disc. Archiv Civ Mech Eng. 22:2. doi:10.1007/s43452-021-00321-4.
   Web of Science ®Google Scholar
• Kiani Y. 2017. Axisymmetric static and dynamics snap-through phenomena in a thermally postbuckled temperature-dependent FGM circular plate. Int J Non Linear Mech. 89:1–13. doi:10.1016/j.ijnonlinmec.2016.11.003.
   Web of Science ®Google Scholar
• Kiani Y, Żur KK. 2022. Free vibrations of graphene platelet reinforced composite skew plates resting on point supports. Thin-Walled Struct. 176:109363. doi:10.1016/j.tws.2022.109363.
   Web of Science ®Google Scholar
• Koizumi M. 1997. FGM activities in Japan. Compos Part B Eng. 28:1–4. doi:10.1016/S1359-8368(96)00016-9.
   Web of Science ®Google Scholar
• Li Y, Li S, Guo K, Fang X, Habibi M. 2022. On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach. Eng Comput. 38(Suppl 1):703–724. doi:10.1007/s00366-020-01166-w.
   Web of Science ®Google Scholar
• Liu D, Zhou Y, Zhu J. 2021. On the free vibration and bending analysis of functionally graded nanocomposite spherical shells reinforced with graphene nanoplatelets: three-dimensional elasticity solutions. Eng Struct. 226:111376. doi:10.1016/j.engstruct.2020.111376.
   Web of Science ®Google Scholar
• Liu R, Li H, Khadimallah MA, Safarpour M. 2022. Three-dimensional poroelasticity solution of sandwich, cylindrical, open, functionally graded composite panels under multi-directional initial stress: semi-numerical modeling. Archiv Civ Mech Eng. 22:13. doi:10.1007/s43452-021-00337-w.
   Web of Science ®Google Scholar
• Lori ES, Ebrahimi F, Supeni EEB, Habibi M, Safarpour H. 2021. The critical voltage of a GPL-reinforced composite microdisk covered with piezoelectric layer. Eng Comput. 37:3489–3508. doi:10.1007/s00366-020-01004-z.
   Web of Science ®Google Scholar
• Moosaie A, Panahi-Kalus H. 2017. Thermal stresses in an incompressible FGM spherical shell with temperature-dependent material properties. Thin-Walled Struct. 120:215–224. doi:10.1016/j.tws.2017.09.005.
   Web of Science ®Google Scholar
• Nam VH, Phuong NT, Bich DH. 2020. Buckling analysis of parallel eccentrically stiffened functionally graded annular spherical segments subjected to mechanic loads. Mech Adv Mater Struct. 27:569–578. doi:10.1080/15376494.2018.1487608.
   Web of Science ®Google Scholar
• Phuong NT, Nam VH, Dong DT. 2020. Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment. J Sandw Struct Mater. 22:1157–1183. doi:10.1177/1099636218782645.
   Web of Science ®Google Scholar
• Qian Q, Wang Y, Zhu F, Feng C, Yang J, Wang S. 2022. Primary nonlinear damped natural frequency of dielectric composite beam reinforced with graphene platelets (GPLs). Archiv Civ Mech Eng. 22:53. doi:10.1007/s43452-021-00369-2.
   Web of Science ®Google Scholar
• Reddy JN, Ruocco E, Loya JA, Neves AMA. 2021. Theories and analyses of functionally graded circular plates. Compos Part C Open Access. 5:100166. doi:10.1016/j.jcomc.2021.100166.
   Google Scholar
• Safarpour M, Ghabussi A, Ebrahimi F, Habibi M, Safarpour H. 2020. Frequency characteristics of FG-GPLRC viscoelastic thick annular plate with the aid of GDQM. Thin-Walled Struct. 150:106683. doi:10.1016/j.tws.2020.106683.
   Web of Science ®Google Scholar
• Saini R, Saini S, Lal R, Singh IV. 2019. Buckling and vibrations of FGM circular plates in thermal environment. Procedia Struct Integr. 14:362–374. doi:10.1016/j.prostr.2019.05.045.
   Google Scholar
• Shahsiah R, Eslami MR, Naj R. 2006. Thermal instability of functionally graded shallow spherical shell. J Therm Stresses. 29:771–790. doi:10.1080/01495730600705406.
   Web of Science ®Google Scholar
• Sobhy M. 2021. Piezoelectric bending of GPL-reinforced annular and circular sandwich nanoplates with FG porous core integrated with sensor and actuator using DQM. Archiv Civ Mech Eng. 21:78. doi:10.1007/s43452-021-00231-5.
   Web of Science ®Google Scholar
• Tung HV. 2014. Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties. Compos Struct. 114:107–116. doi:10.1016/j.compstruct.2014.04.004.
   Web of Science ®Google Scholar
• Wang A, Chen H, Hao Y, Zhang W. 2018. Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplatelets. Results Phys. 9:550–559. doi:10.1016/j.rinp.2018.02.062.
   Web of Science ®Google Scholar
• Wang Y, Zeng R, Safarpour M. 2022. Vibration analysis of FG-GPLRC annular plate in a thermal environment. Mech Based Des Struct Mach. 50(1):352–370. doi:10.1080/15397734.2020.1719508.
   Web of Science ®Google Scholar
• Wu J, Habibi M. 2022. Dynamic simulation of the ultra-fast-rotating sandwich cantilever disk via finite element and semi-numerical methods. Eng Comput. 38(Suppl 5):4127–4143. doi:10.1007/s00366-021-01396-6.
   Web of Science ®Google Scholar
• Yang SW, Hao YX, Zhang W, Yang L, Liu LT. 2021. Free vibration and buckling of eccentric rotating FG-GPLRC cylindrical shell using first-order shear deformation theory. Compos Struct. 263:113728. doi:10.1016/j.compstruct.2021.113728.
   Web of Science ®Google Scholar
• Zhang L, Chen Z, Habibi M, Ghabussi A, Alyousef R. 2021. Low-velocity impact, resonance, and frequency responses of FG-GPLRC viscoelastic doubly curved panel. Compos Struct. 269:114000. doi:10.1016/j.compstruct.2021.114000.
   Web of Science ®Google Scholar
• Zhao L, Bai Y. 2022. Ultimate strength models for spherical shells under external pressure: a comparative study. Sh Offshore Struct. doi:10.1080/17445302.2022.2126115.
   Web of Science ®Google Scholar
• Zheng W, Liu J, Oyarhossein MA, Safarpour H, Habibi M. 2023. Prediction of nth-order derivatives for vibration responses of a sandwich shell composed of a magnetorheological core and composite face layers. Eng Anal Bound Elem. 146:170–183. doi:10.1016/j.enganabound.2022.10.019.
   Web of Science ®Google Scholar
• Zhu Y, Guan W, Wang H, Zhao M, Zhang J. 2022. Buckling of spherical shells with pitting corrosion under external pressure. Sh Offshore Struct. 17(11):2470–2479. doi:10.1080/17445302.2021.2000266.
   Web of Science ®Google Scholar