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

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

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5 Citations (Scopus)

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 languageEnglish
Pages (from-to)947-975
Number of pages29
JournalJournal of Thermal Stresses
Volume35
Issue number11
DOIs
Publication statusPublished - 2012

Fingerprint

cracks
Cracks
singular integral equations
integral transformations
stress intensity factors
magnetic induction
crack tips
conductive heat transfer
Electromagnetic induction
inhomogeneity
temperature distribution
elastic properties
Heat conduction
Stress intensity factors
Crack tips
Integral equations
Elasticity
Temperature distribution
Hot Temperature

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

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title = "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",
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.",
keywords = "Embedded crack, Functionally Graded Magneto-Electro-Elastic Material (FGMEEM), Magneto-electro-mechanical loads, Mixed-mode stress intensity factors, Singular integral equations",
author = "M. Rekik and Sami El-Borgi and Z. Ounaies",
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AU - El-Borgi, Sami

AU - Ounaies, Z.

PY - 2012

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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.

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KW - Magneto-electro-mechanical loads

KW - Mixed-mode stress intensity factors

KW - Singular integral equations

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