A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer
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This work paper considers the problem of a partially permeable mixed-mode crack embedded in a graded magneto electro elastic layer subjected to magneto electro mechanical loads. The medium is graded in the direction orthogonal to the crack plane and is modeled as a non homogeneous medium with anisotropic constitutive laws. Using Fourier transform, the resulting magneto electro elasticity equations are converted analytically into singular integral equations which are then solved numerically to yield the crack-tip mode I and II stress, electric displacement and magnetic induction intensity factors. The main objective of this work is to study the influence of material non homogeneity, crack position and magneto electric permeabilities on the fields' intensity factors for the purpose of gaining better understanding on the behavior of fractured graded magneto electro elastic layers. Results showed that fields' intensity factors increase with nonhomogeneity, and decrease with magnetic and electric permeabilities, and as the crack become closer to the layer's center.
author list (cited authors)
Rekik, M., El-Borgi, S., & Ounaies, Z.