Modeling of Attenuation Processes in Piezoceramic Bodies

Abstract

A method has been developed for determining the tangents of the loss angles of polycrystalline ferroelectric materials, based on the hysteretic attenuation model proposed by E. S. Sorokin and Ya. G. Panovko. A three-dimensional polarization model was constructed, which allows one to find the dielectric and deformation hysteresis loops at arbitrary electrical and mechanical loads. Investigations were carried out and the functional dependences of physical modules on the residual polarization, and deformation parameters were established. An approximation of the hysteresis dependences by analytical functions of a special form is proposed for small amplitudes of external impacts. Constitutive relations are obtained, similar to the Maxwell model, from which in the case of harmonic oscillations it is possible to calculate the tangents of the loss angles through the area of the hysteresis loops.