Abstract

By introducing the cylindrical system of vector functions and the correspondingpropagating matrix, we present a semi-analytical solution for a layered multiferroic halfspace under a uniform vertical circular load on its surface. A two-layered system made ofBaTiO3 andCoFe2O4 is analyzed by the proposed method. The coupling feature among the elastic, electric, andmagnetic fields and the interplay between the adjacent layers are investigated. Inparticular, we find that the interfacial elastic, electric, and magnetic fields are very sensitiveto the thickness of the surface layer. Consequently, a critical thickness is found for eachfield quantity when it reaches its extreme value for varying thickness of the surface layer.This striking feature could be very useful as a theoretical reference for the optimal designof surface coatings.

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