Constitutive equations of the ferroelectroelastic materials are introduced in analogy with equations of plastic flow theory. They allow describing effects of dielectric and mechanical hysteresis, a hysteresis in the form of «butterfly», the repolarisation phenomenon and delaying effects of non-proportional loading, observed in experiments with polycrystalline piezoceramics. To increase the efficiency of solution methods of nonlinear boundary value problems, a vector-potential variation formulation with coulomb gauge is suggested. Examples of the finite-element solution of nonlinear boundary value problems for complex multiaxial variable loading are presented.
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