Modeling of temperature dependent graded vibration in a piezoelectric microbeam composite plates with a sliding contact

Abstract

The present study introduces a novel framework for analyzing shear wave propagation in piezoelectric microbeam-dielectric elastic composite plates, emphasizing the temperature-dependent graded factors that influence key material properties. Unlike previous works, which often assume constant material coefficients, this model considers quadratic variations of elastic, piezoelectric, and dielectric coefficients with respect to the temperature graded. The mathematical modeling employs the separation of variables and asymptotic expansions of Bessel functions to derive comprehensive analytical solutions. A sliding contact interface with a sliding parameter is considered, enabling a more realistic simulation of composite structures. The dynamic governing equation, transverse deflection, and Maxwell's equation for electric potential are solved simultaneously across domains, yielding a system of linear homogeneous equations via admissible boundary conditions. The dispersion relations for shear waves are derived for electrically open and short-circuit cases and validated through comparison with existing studies. This study highlights the significant influence of temperature grade, temperature ratio, micro-length parameters in the piezoelectric microbeam, and the sliding parameter on shear wave propagation. The findings provide a theoretical basis for designing and optimizing piezotronic devices, offering enhanced control over elastic wave propagation in composite structures.