Creep stress analysis of functionally graded transversely isotropic piezoelectric disc with variable thickness under rotation

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Materials exhibiting different piezoelectric properties throughout their volume are referred to as functionally graded piezoelectric materials (FGPM). Due to their graded composition, the characteristics of these materials can be customized to fit particular needs in a variety of applications. Functionally graded piezoelectric materials are beneficial in many technical applications because of their versatility that enables increased performance, efficiency, and adaptability in a variety of disciplines. The objective of the current study is to analyse creep stresses in an annular disc composed of transversely isotropic, functionally graded piezoelectric material with varying thickness parameters. Creep stresses are evaluated analytically using the approach of Seth's transition theory. By using the stress-strain relations, the equations for mechanical stresses and electrical displacement are determined. Substituting these relations into the equilibrium equation a nonlinear differential equation is obtained. The findings are presented both numerically and graphically, demonstrating how the thickness parameter affects the circumferential stresses in the intermediate surface of the rotating disc. The disc made of transversely isotropic piezoelectric material PZT-4 exhibits higher creep stresses than other materials under consideration according to all of the numerical discussions and calculations. This work may provide an effective methodology for the analysis of functionally graded piezoelectric rotating discs and contribute to theoretical research and engineering applications.