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Mechanical, electrical and thermal phenomena occurring in piezoelectric crystals were examined by non-linear approximation. For this purpose, use was made of the thermodynamic function of state, which describes an anisotropic body. Considered was the Gibbs function. The calculations included strain tensor εij=f(σkl,En,T), induction vector Dm=f(σkl,En,T) and entropy S=f(σkl,En,T) as function of stress σkl, field strength En and temperature difference T. The equations obtained apply to anisotropic piezoelectric bodies provided that the "forces" σkl, En, T acting on the crystal are known

NON-LINEAR MECHANICAL, ELECTRICAL AND THERMAL PHENOMENA IN PIEZOELECTRIC CRYSTALS