Modelling Coupled Dynamics: Piezoelectric Elements under Changing Temperature Conditions
International Communications in Heat Mass Transfer, 30(1), 83--92, 2003
In this paper the dynamics of piezoelectric solids is studied as a coupled thermo-electromechanical problem using tools of mathematical and computer modelling. The mathematical model is based on three coupled partial differential equations, the equation of motion, the Maxwell equation for electric field and the energy balance equation. The coupling effect is amplified by the constitutive equations and boundary conditions. We provide modelling results demonstrating that thermal fields can influence significantly on the characteristic (electromechanical) properties and the performance of piezoelectric elements and structures. Examples of computer modelling are given for lead zirconate-titanate (PZT) piezoceramic materials widely used in many applications of acoustic wave generation, piezo-transducers/transformers design, as well as in piezo-sensors/actuators for the vibration control of flexible structures.