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ORIGINAL ARTICLE

Nonlinear response of a shear deformable S-FGM shallow spherical shell with ceramic-metal-ceramic layers resting on an elastic foundation in a thermal environment

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Pages 926-934 | Received 24 Oct 2014, Accepted 03 Jun 2015, Published online: 02 Mar 2016

References

  • R. Shahsiah, M.R. Eslami, and R. Naj, Thermal instability of functionally graded shallow spherical shell, J. Therm. Stresses, vol. 29, no. 8, pp. 771–790, 2006.
  • R. Shahsiah, M.R. Eslami, and M.S. Boroujerdy, Thermal instability of functionally graded deep spherical shell, Arch. Appl. Mech., vol. 81, no. 10, pp. 1455–1471, 2011.
  • D.O. Brush and B.O. Almroth, Buckling of Bars, Plates and Shells, McGraw-Hill, New York, 1975.
  • M.S. Boroujerdy and M.R. Eslami, Nonlinear axisymmetric thermo-mechanical response of piezo-FGM shallow spherical shells, Arch. Appl. Mech., vol. 83, no. 12, pp. 1681–1693, 2013.
  • D.H. Bich and H.V. Tung, Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects, Int. J. Non Linear Mech., vol. 46, pp. 1195–1204, 2011.
  • D.H. Bich, D.V. Dung, and L.K. Hoa, Nonlinear static and dynamic buckling analysis of functionally graded shallow spherical shells including temperature effects, Compos. Struct., vol. 94, pp. 2952–2960, 2012.
  • L.S. Ma and T.J. Wang, Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings, Int. J. Solids Struct., vol. 40, pp. 3311–3330, 2003.
  • S.R. Li, J.H. Zhang, and Y.G. Zhao, Nonlinear thermo-mechanical post-buckling of circular FGM plate with geometric imperfection, Thin Walled Struct., vol. 45, pp. 528–536, 2007.
  • M.M. Najafizadeh and H.R. Heydari, Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory, Eur. J. Mech. A. Solids, vol. 23, pp. 1085–1100, 2004.
  • L.V. Tran, C.H. Thai, and X.H. Nguyen, An iso-geometric finite element formulation for thermal buckling analysis of functionally graded plates, Finite Elem. Anal. Des., vol. 73, pp. 65–76, 2013.
  • 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, Eur. J. Mech. A. Solids, vol. 45, pp. 80–89, 2014.
  • H.V. Tung, Nonlinear thermo-mechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties, Compos. Struct., vol. 114, pp. 107–116, 2014.
  • N.D. Duc and P.H. Cong, Nonlinear post-buckling of symmetric S-FGM plates resting on elastic foundations using higher order shear deformation plate theory in thermal environments. J. Compos. Struct., vol. 100, pp. 566–574, 2013.
  • Y.S. Touloukian, Thermo Physical Properties of High Temperature Solid Materials, Macmillan, New York, 1967.
  • M. Sathyamoorthy, Vibrations of moderately thick shallow spherical shells at large amplitudes, J. Sound Vib., vol. 172, no. 1, pp. 63–70, 1994.
  • C.S. Xu, Buckling and post-buckling of symmetrically laminated moderately thick spherical caps, Int. J. Solids Struct., vol. 28, no. 9, pp. 1171–1184, 1991.
  • J.N. Reddy and C.D. Chin, Thermoelastic analysis of functionally graded cylinders and plates, J. Therm. Stresses, vol. 21, pp. 593–626, 1998.

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