Influence of thermo-piezoelectric field in a circular bar subjected to thermal loading due to laser pulse

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The influence of thermo-piezoelectric field in a circular bar subjected to thermal loading due to non-Gaussian laser pulse is discussed using linear theory of thermoelasticity. The equations of motion of the rod are formulated using the constitutive equations of a thermopiezoelectric material. Displacement potential functions are introduced to uncouple the equations of motion, heat conduction and charge equation. The frequency equation of the system is developed under the assumption of stress free, thermal and electrically shorted boundary conditions. The numerical calculations are carried out for the material PZT-5A and the computed stress, strain and temperature distribution are plotted as the dispersion curves and their physical characteristics are discussed for longitudinal and flexural (symmetric and antisymmetric) modes.