STRESSES IN A MULTIFERROIC THIN FILM - MULTI-LAYER COATING SYSTEM

Date

2025-4-10

Author

Şahin, Eren

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Multiferroic or magneto-electro-elastic (MEE) materials, consisting of Piezoelectric (PE) and Piezo-magnetic (PM) phases, has coupling effects of mechanical deformation, electric and magnetic fields. The studies in this area increase in the recent years due to its wide and important applications in the general smart structures. The problem for a multiferroic thin film which is bonded to transversely isotropic multi-layer coatings on an isotropic homogenous substrate is solved by performing analytical approach in this study. All the layers are assumed to be bonded perfectly without an adhesive layer. The thin film is assumed to behave as "membrane", and the coupling effects of the magnetic and electrical fields are considered. In the analytical approach the governing Navier equations are obtained for the plane elasticity problem. These partial differential equations are solved to find the displacement fields that satisfy the boundary conditions by using Fourier transformation techniques. The numerical solutions for the singular integral equations (SIE) which are derived from the displacement fields are obtained by using collocation-expansion method and the contact stresses and stress intensity factors are determined. The results obtained from analytical method are compared with the studies from literature to evaluate the accuracy of this study.

Subject Keywords

Multiferroic, Thin Film, Multilayer Coating, Contact Stresses, Transversely Isotropic

URI

https://hdl.handle.net/11511/114570

Collections

Graduate School of Natural and Applied Sciences, Thesis