Electroelastic Analysis of FG Piezoelectric Structures under Thermo-Electro-Mechanical Loadings

Abstract

An exact planar solution for the determination of electroelastic responses are presented for functionally graded piezoelectric materials (FGPMs). The electro-mechanical properties are assumed to vary exponentially. Exploiting the potential functions for stress and induction, the governing equations reduce to systems of fourth order inhomogeneous partial differential equations (PDEs), which are solved in a closed form manner. Validity of the obtained solution is checked by other existing results in the literatures. Several examples are provided under distinctive thermo-electro-mechanical loadings. Finally, the effect of the graded indices is examined upon the electroelastic response of the FGP media.

Keywords:

• FGP beams
• thermo-electro-mechanical loading
• potential functions method
• graded indices