### Abstract

This article describes our investigation of the influence of an axisymmetric partially insulated mixed-mode crack on the coupled response of a functionally graded magneto-electro-elastic material (FGMEEM) subjected to thermal loading. The crack is embedded at the center of an infinite medium, and the material is graded in the direction orthogonal to the crack plane and is modeled as a nonhomogeneous medium with anisotropic constitutive laws. The heat conduction equation is first solved using the Hankel transform to yield the temperature field in the medium. Using the same integral transform, the magneto-electro-elasticity equations are converted analytically into a system of four singular integral equations that are solved numerically to yield the crack-tip mode I and II stress intensity factors, the electric displacement intensity factor and the magnetic induction intensity factor. The main objective of this research is to study the influence of material nonhomogeneity on the fields intensity factors for the purpose of gaining better understanding on the behavior of graded pyro magneto-electro-elastic materials.

Original language | English |
---|---|

Pages (from-to) | 947-975 |

Number of pages | 29 |

Journal | Journal of Thermal Stresses |

Volume | 35 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- Embedded crack
- Functionally Graded Magneto-Electro-Elastic Material (FGMEEM)
- Magneto-electro-mechanical loads
- Mixed-mode stress intensity factors
- Singular integral equations

### ASJC Scopus subject areas

- Materials Science(all)
- Condensed Matter Physics

### Cite this

*Journal of Thermal Stresses*,

*35*(11), 947-975. https://doi.org/10.1080/01495739.2012.720216

**The axisymmetric problem of a partially insulated mixed-mode crack embedded in a functionally graded pyro magneto-electro-elastic infinite medium subjected to thermal loading.** / Rekik, M.; El-Borgi, Sami; Ounaies, Z.

Research output: Contribution to journal › Article

*Journal of Thermal Stresses*, vol. 35, no. 11, pp. 947-975. https://doi.org/10.1080/01495739.2012.720216

}

TY - JOUR

T1 - The axisymmetric problem of a partially insulated mixed-mode crack embedded in a functionally graded pyro magneto-electro-elastic infinite medium subjected to thermal loading

AU - Rekik, M.

AU - El-Borgi, Sami

AU - Ounaies, Z.

PY - 2012

Y1 - 2012

N2 - This article describes our investigation of the influence of an axisymmetric partially insulated mixed-mode crack on the coupled response of a functionally graded magneto-electro-elastic material (FGMEEM) subjected to thermal loading. The crack is embedded at the center of an infinite medium, and the material is graded in the direction orthogonal to the crack plane and is modeled as a nonhomogeneous medium with anisotropic constitutive laws. The heat conduction equation is first solved using the Hankel transform to yield the temperature field in the medium. Using the same integral transform, the magneto-electro-elasticity equations are converted analytically into a system of four singular integral equations that are solved numerically to yield the crack-tip mode I and II stress intensity factors, the electric displacement intensity factor and the magnetic induction intensity factor. The main objective of this research is to study the influence of material nonhomogeneity on the fields intensity factors for the purpose of gaining better understanding on the behavior of graded pyro magneto-electro-elastic materials.

AB - This article describes our investigation of the influence of an axisymmetric partially insulated mixed-mode crack on the coupled response of a functionally graded magneto-electro-elastic material (FGMEEM) subjected to thermal loading. The crack is embedded at the center of an infinite medium, and the material is graded in the direction orthogonal to the crack plane and is modeled as a nonhomogeneous medium with anisotropic constitutive laws. The heat conduction equation is first solved using the Hankel transform to yield the temperature field in the medium. Using the same integral transform, the magneto-electro-elasticity equations are converted analytically into a system of four singular integral equations that are solved numerically to yield the crack-tip mode I and II stress intensity factors, the electric displacement intensity factor and the magnetic induction intensity factor. The main objective of this research is to study the influence of material nonhomogeneity on the fields intensity factors for the purpose of gaining better understanding on the behavior of graded pyro magneto-electro-elastic materials.

KW - Embedded crack

KW - Functionally Graded Magneto-Electro-Elastic Material (FGMEEM)

KW - Magneto-electro-mechanical loads

KW - Mixed-mode stress intensity factors

KW - Singular integral equations

UR - http://www.scopus.com/inward/record.url?scp=84870265806&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870265806&partnerID=8YFLogxK

U2 - 10.1080/01495739.2012.720216

DO - 10.1080/01495739.2012.720216

M3 - Article

AN - SCOPUS:84870265806

VL - 35

SP - 947

EP - 975

JO - Journal of Thermal Stresses

JF - Journal of Thermal Stresses

SN - 0149-5739

IS - 11

ER -