Abstract

Nonlinear transient analysis of functionally graded curved panels is carried out employing a higher-order C⁰ finite element formulation. The element consists of nine degrees-of-freedom per node with higher-order terms in the Taylor’s series expansion which represents the higher-order transverse cross sectional deformation modes. The formulation includes Sanders’ approximation for doubly curved shells considering the effects of rotary inertia, transverse shear and moderately large rotations in the von Kárman sense. A realistic parabolic distribution of transverse shear strains through the shell thickness is assumed and the use of shear correction factor is avoided. The accuracy of the formulation is validated by comparing the results with those available in the literature. The transient dynamic responses of the functionally graded shell panels are investigated by varying the volume fraction index using a simple power law distribution. Material properties are assumed to be temperature-independent and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Heat conduction between ceramic and metal constituents is neglected. Effects of different panel geometry parameters, boundary conditions and loadings are studied.

Key words: Functionally graded materials, higher-order formulation, geometric nonlinearity, transient analysis.