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Journal of Applied Mechanics and Technical Physics

2019 year, number 6

Micromechanical Model of Polycrystalline Ferroelectrelastic Material Defects

A. S. Semenov
St. Petersburg Polytechnic University of Peter the Great, St. Petersburg, 195251, Russia
Keywords: поликристаллическая пьезокерамика, точечные дефекты, диссипация, гистерезис, поверхность переключения, непропорциональное нагружение, гомогенизация, моделирование, polycrystalline piezoceramics, point defects, dissipation, hysteresis, switching surface, nonproportional loading, homogenization, modeling

Abstract

Constitutive equations are proposed that describe the nonlinear behavior of a polycrystalline ferroelectroelastic material and taking into account the dissipative nature of the movement of domain walls, the presence of point defects, and their effect on switching processes in the temperature range not accompanied by phase transitions. The method of two-level homogenization is used to describe the behavior of a polycrystalline ferroelectroelastic material at the macro level. Accounting for defects in the micromechanical model of ferroelectroelastic materials has significantly improved the predictive ability of the model under multiaxial loading. Comparison of the results of computations with experimental data on dielectric hysteresis curves and switching surfaces under nonproportional loading of polycrystalline piezoelectric ceramics PZT-4D, PZT-5H and BaTiO3 shows that the proposed model has good prediction accuracy.