Control of transient thermal stress in a piezo-composite disk

This paper deals with the control of a transient thermal stress in a composite disk through piezoelectric actuation. The disk consists of a transversely isotropic structural layer and a piezoceramic layer with concentrically arranged electrodes. When the free surface of the structural layer is exposed to a transient heating temperature distribution, two thermoelastic problems of minimising the maximum transient thermal stress in the structural layer and controlling it within the allowable limit are analysed. Voltages applied to the electrodes are determined by solving linear programming problems so that the stress constraints imposed on the piezoceramic layer are satisfied. Finally, obtained numerical results are shown in figures.