Numerical model of influence of external electric loading on electro-elastic field in ferroelectrics

A mathematical modeling of behavior of possible proposed ferroelectric structures exposed various external loading can usefully support the design of real ferroelectric devices. The paper presents our numerical model of ferroelectric crystal specimen. The proposed model considers a ferroelectric crystal with an internal domain structure. The model is based on physical description that includes linear electro-elastic state equations, Newton's Iaw and Gauss law, which are completed by the possible boundary conditions reflecting the concrete external loading. The numerical method used for the formulation and approximation of the model keeps mixed-hybrid finite element method approach. The used method leads to a large system of algebraic equation. The development of our own software tool enables determination of special needs. The paper includes description of physical basis of the problem description of considered sample geometry and possible boundary conditions. Further the mixed-hybrid approximation approach and some results acquired as outputs of implemented model are introduced.