The Impact of Relaxation Time in Piezoelectric Hollow Cylinder by Finite Element Technique

This study examines the thermo-electro-elastic responses of a long hollow cylindrical piezoelectric material due to a pulse heating flux on its surface. Formulations suggested by Lord and Shulman for generalized piezothermoelastic systems are used. The response of the vessel is modeled under axisymmetric conditions, leading to the formulation of three coupled governing equations: the motion, Maxwell and the energy formulations. The finite element approach is used to solve these equations numerically. The Newmark time-marching methodology is used to derive the temporal evolution. The presentation of novel numerical results provides insights into the dynamic behaviors of the piezoelectric cylinder under transient heat settings. The responses of pulse heating flux and relaxation time on the coupling between mechanical, thermal and electrical fields are highlighted in this work, providing useful.