Electromagnetic Coupling of Piezoelectric/Ferrite Composite With Quasi-Periodic Structure, Initial Stress State and Maxwell-Wagner Relaxation

Analytical solutions have been obtained for tensors of effective electromagneticmotive properties of a composite with a quasi-periodic structure, taking into account the anisotropy of the disordered inclusions relative to the corresponding ideal periodic structure in a generalized singular approximation of the method of periodic components of statistical mechanics. The magnitude and anisotropy of the disordered inclusions (fibers) are taken into account in the solution through the coefficients of periodicity and anisotropy of the disordered inclusions relative to the corresponding ideal periodic structure, the effective properties of which are considered known. For the case of isotropic disordered inclusions, analytical solutions for tensors of effective electromagneticmotive elastic and pyroelectric properties of a composite with a quasi-periodic structure are obtained as simple linear decompositions of the desired solutions through known tensors of corresponding effective properties for a periodic structure and for a statistical mixture using the periodicity coefficient. The results of numerical modeling of the frequency dependences of the electromagnetic coupling coefficients are presented, taking into account a given initial stress state and the Maxwell-Wagner relaxation of the electric fields of the structural elements of a quasi-periodic composite.