SOLUTION FOR THERMAL AND MECHANICAL WAVES IN A PIEZOELECTRIC PLATE BY THE METHOD OF CHARACTERISTICS

摘要

The object of this article is to study the one-spatial dimensional thermal and mechanical waves in a piezoelectric infinite plate subjected to thermal, electric, and mechanical loadings. Based on the coupled generalized theory of piezothermoelasticity along with the modified Fourier law, the governing equations are expressed by a set of first-order partial differential equations with stress, particle velocity, electric field intensity, heat flow, and temperature as the unknown variables. This system of equations is analyzed by the method of characteristics. The numerical calculations are carried out for a traction-free PZT-4 plate subjected to impulsive surface heating. Graphical displays are utilized to present the outcome of the procedures.