### Nonlinear thermo-mechanical stability of shear deformable FGM sandwich shallow spherical shells with tangential edge constraints

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M. Sathyamoorthy. Vibrations of moderately thick shallow spherical shells at large amplitudes. Journal of Sound and Vibration, 172, (1), (1994), pp. 63–70. doi:10.1006/jsvi.1994.1158.

M. R. Eslami, H. R. Ghorbani, and M. Shakeri. Thermoelastic buckling of thin spherical shells. Journal of Thermal Stresses, 24, (12), (2001), pp. 1177–1198. doi:10.1080/014957301753251746.

R. Shahsiah and M. R. Eslami. Thermal and mechanical instability of an imperfect shallow spherical cap. Journal of Thermal Stresses, 26, (7), (2003), pp. 723–737. doi:10.1080/713855992.

Q. S. Li, J. Liu, and J. Tang. Buckling of shallow spherical shells including the effects of transverse shear deformation. International Journal of Mechanical Sciences, 45, (9), (2003), pp. 1519–1529. doi:10.1016/j.ijmecsci.2003.09.020.

G. H. Nie. Asymptotic buckling analysis of imperfect shallow spherical shells on non-linear elastic foundation. International Journal of Mechanical Sciences, 43, (2), (2001), pp. 543–555. doi:10.1016/s0020-7403(99)00118-6.

O. Civalek. Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, (2014), pp. 1–9. doi:10.1016/j.ijpvp.2013.10.014.

X. Chang-Shi. Buckling and post-buckling of symmetrically laminated moderately-thick spherical caps. International Journal of Solids and Structures, 28, (9), (1991), pp. 1171–1184. doi:10.1016/0020-7683(91)90110-2.

Y. Nath and K. Sandeep. Postbuckling of symmetrically laminated, moderately thick, axisymmetric shallow spherical shells. International Journal of Mechanical Sciences, 35, (11), (1993), pp. 965–975. doi:10.1016/0020-7403(93)90033-q.

A. Muc. Buckling and post-buckling behaviour of laminated shallow spherical shells subjected to external pressure. International Journal of Non-Linear Mechanics, 27, (3), (1992), pp. 465–476. doi:10.1016/0020-7462(92)90013-w.

R. Shahsiah, M. R. Eslami, and R. Naj. Thermal instability of functionally graded shallow spherical shell. Journal of Thermal Stresses, 29, (8), (2006), pp. 771–790. doi:10.1080/01495730600705406.

R. Shahsiah, M. R. Eslami, and M. S. Boroujerdy. Thermal instability of functionally graded deep spherical shell. Archive of Applied Mechanics, 81, (10), (2011), pp. 1455–1471. doi:10.1007/s00419-010-0495-7.

D. H. Bich and H. V. Tung. Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects. International Journal of Non-Linear Mechanics, 46, (9), (2011), pp. 1195–1204. doi:10.1016/j.ijnonlinmec.2011.05.015.

M. S. Boroujerdy and M. R. Eslami. Axisymmetric snap-through behavior of Piezo-FGM shallow clamped spherical shells under thermo-electro-mechanical loading. International Journal of Pressure Vessels and Piping, 120, (2014), pp. 19–26. doi:10.1016/j.ijpvp.2014.03.008.

N. D. Duc, V. T. T. Anh, and P. H. Cong. Nonlinear axisymmetric response of FGM shallow spherical shells on elastic foundations under uniform external pressure and temperature. European Journal of Mechanics-A/Solids, 45, (2014), pp. 80–89. doi:10.1016/j.euromechsol.2013.11.008.

D. H. Bich, D. Van Dung, and L. K. Hoa. Nonlinear static and dynamic buckling analysis of functionally graded shallow spherical shells including temperature effects. Composite Structures, 94, (9), (2012), pp. 2952–2960. doi:10.1016/j.compstruct.2012.04.012.

H. V. Tung. Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties. Composite Structures, 114, (2014), pp. 107–116. doi:10.1016/j.compstruct.2014.04.004.

L. Librescu, W. Lin, M. P. Nemeth, and J. H. Starnes Jr. Thermomechanical postbuckling of geometrically imperfect flat and curved panels taking into account tangential edge constraints. Journal of Thermal Stresses, 18, (4), (1995), pp. 465–482. doi:10.1080/01495739508946314.

H. V. Tung. Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations. Composite Structures, 100, (2013), pp. 532–541. doi:10.1016/j.compstruct.2012.12.051.

H. V. Tung. Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties. Composite Structures, 131, (2015), pp. 1028–1039. doi:10.1016/j.compstruct.2015.06.043.

H. V. Tung. Nonlinear axisymmetric response of FGM shallow spherical shells with tangential edge constraints and resting on elastic foundations. Composite Structures, 149, (2016), pp. 231–238. doi:10.1016/j.compstruct.2016.04.032.

H.-S. Shen. Postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium. International Journal of Mechanical Sciences, 51, (5), (2009), pp. 372–383. doi:10.1016/j.ijmecsci.2009.03.006.

O. Civalek. Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches. Composites Part B: Engineering, 50, (2013), pp. 171–179. doi:10.1016/j.compositesb.2013.01.027.

C. Demir, K. Mercan, and O. Civalek. Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B: Engineering, 94, (2016), pp. 1–10. doi:10.1016/j.compositesb.2016.03.031.

V. R. Kar and S. K. Panda. Postbuckling analysis of shear deformable FG shallow spherical shell panel under nonuniform thermal environment. Journal of Thermal Stresses, 40, (1), (2017), pp. 25–39. doi:10.1080/01495739.2016.1207118.

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