Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties
作者： Hoang Van Tung
DOI: 10.1016/J.COMPSTRUCT.2014.04.004
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摘要: Abstract This paper presents an analytical approach to investigate the nonlinear stability of clamped functionally graded material (FGM) shallow spherical (SS) shells and circular plates resting on elastic foundations, subjected uniform external pressure exposed thermal environments. Material properties are assumed be temperature dependent, in thickness direction according a simple power law distribution terms volume fractions constituents. Formulations for axisymmetrically deformed SS based first order shear deformation theory taking geometrical nonlinearity, initial imperfection interaction Pasternak type foundations into consideration. Approximate solutions satisfy immovable boundary conditions Galerkin method is applied derive expressions buckling loads load–deflection curves FGM shells. Specialization these gives corresponding relations plates, iterative algorithm adopted obtain temperatures postbuckling temperature–deflection thermally loaded plates. The effects material, geometry foundation parameters, dependence response analyzed discussed detail.
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