A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer

M. Rekik, Sami El-Borgi, Z. Ounaies

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publication13th International Conference on Fracture 2013, ICF 2013
PublisherChinese Society of Theoretical and Applied Mechanics
Pages2262-2270
Number of pages9
Volume3
Publication statusPublished - 2013
Event13th International Conference on Fracture 2013, ICF 2013 - Beijing, China
Duration: 16 Jun 201321 Jun 2013

Other

Other13th International Conference on Fracture 2013, ICF 2013
CountryChina
CityBeijing
Period16/6/1321/6/13

Fingerprint

crack
Cracks
Electromagnetic induction
permeability
magnetic intensity
homogeneous medium
Crack tips
Integral equations
Elasticity
Fourier transforms
homogeneity
Fourier transform
elasticity

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

Cite this

Rekik, M., El-Borgi, S., & Ounaies, Z. (2013). A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer. In 13th International Conference on Fracture 2013, ICF 2013 (Vol. 3, pp. 2262-2270). Chinese Society of Theoretical and Applied Mechanics.

A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer. / Rekik, M.; El-Borgi, Sami; Ounaies, Z.

13th International Conference on Fracture 2013, ICF 2013. Vol. 3 Chinese Society of Theoretical and Applied Mechanics, 2013. p. 2262-2270.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rekik, M, El-Borgi, S & Ounaies, Z 2013, A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer. in 13th International Conference on Fracture 2013, ICF 2013. vol. 3, Chinese Society of Theoretical and Applied Mechanics, pp. 2262-2270, 13th International Conference on Fracture 2013, ICF 2013, Beijing, China, 16/6/13.
Rekik M, El-Borgi S, Ounaies Z. A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer. In 13th International Conference on Fracture 2013, ICF 2013. Vol. 3. Chinese Society of Theoretical and Applied Mechanics. 2013. p. 2262-2270
Rekik, M. ; El-Borgi, Sami ; Ounaies, Z. / A partially permeable mixed-mode crack embedded in a functionally graded magneto electro elastic layer. 13th International Conference on Fracture 2013, ICF 2013. Vol. 3 Chinese Society of Theoretical and Applied Mechanics, 2013. pp. 2262-2270
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