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Dynamic analysis of a functionally graded piezoelectric spherical shell under mechanical and thermal shocks

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Published online on

Abstract

Dynamic analysis of a functionally graded piezoelectric spherical shell under the effect of mechanical-electrical-thermal shocks is carried out. Thick spherical shell is transversely isotropic and material properties are assumed to be graded in the radial direction according to a power law function. The governing partial differential equations are obtained in terms of displacement, temperature and electric fields and expressed in the form of series form in space and time domains using the polynomial differential quadrature method coupled with finite difference method, respectively. A comparison of numerical results with the static and dynamic results is presented that shows an excellent agreement. Numerical results for different material parameters are calculated and presented graphically in order to show the effect of material grading parameter, thermal gradient, electric potential and thickness of the sphere on the distribution of stress, displacement, temperature and electric fields.