Abstract
An analytical study for piezothermoelastic behavior of a functionally graded piezoelectric cylindrical shell subjected to axisymmetric thermal or mechanical loading is presented. For the case that the material properties obey an identical power law in the radial direction, exact solutions are obtained using the power series expansion method together with the Fourier series expansion method. Both direct and inverse piezoelectric effects are considered. Although this paper considers a case when the material constants are of power functions in the radial variable, the technique is applicable to other forms of material inhomogeneity. Numerical examples are given and discussed to show the significant influence of material inhomogeneity, and adopting a certain value of the inhomogeneity parameter β can optimize the mechanical–electric responses. This will be of particular importance in modern engineering design.
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