An antiplane crack between bonded dissimilar functionally graded isotropic elastic materials

Clements, D. L.

doi:10.1093/qjmam/hbt008

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…Interestingly, the boundary value problems of an elastic material containing rigid circular thin plate and penny-shaped crack are mathematically the same. So far, the problem of a crack embedded in an inhomogeneous material was investigated by several authors for plane [13][14][15] or anti-plane [16][17][18] geometry. However, the case of three-dimensional analysis of continuum containing crack with a sharp gradient of shear properties of material at the vicinity of crack has been considered to a lesser degree [19].…”

Section: Introductionmentioning

confidence: 99%

Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack

et al. 2017

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The problem of axisymmetric vibration of a flat thin rigid circular plate located inside a vertically exponentially graded, transversely isotropic material of infinite extent is addressed by means of a displacement potential method. The contact condition on one side of the foundation is assumed to be the perfect adhesion with the media but known to be faced by a penny-shaped crack at the other side as it occurs in anchors. The mixed boundary value problem is formulated with the aid of Hankel integral transforms and is written in the form of a set of singular integral equations. The analytical procedure for the special case of vertical movement of the rigid plate results in a closed form solution. The solution is pursued numerically for the general elastodynamic case. The physical quantities, such as contact stress on the plate and the stress and displacement fields in the non-homogeneous medium are obtained for different materials.

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Section: Introductionmentioning

confidence: 99%

Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack

et al. 2017

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Analysis of stress intensity factors for edge interfacial cracks in bonded dissimilar media with a functionally graded interlayer under antiplane deformation

Choi

2016

Theoretical and Applied Fracture Mechanics

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A Thermal Interface Crack Problem for Dissimilar Functionally Graded Isotropic Materials

Clements

2015

Journal of Heat Transfer

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The problem of determining the steady-state temperature and flux fields in a material containing a plane crack along the bonded interface of two dissimilar functionally graded isotropic materials is considered. The materials exhibit quadratic variation in the coefficients of heat conduction. At large distances from the crack, a uniform heat flux is prescribed. The crack is modeled as an insulated cut. Numerical values for the temperature and flux are obtained for some particular materials. The results demonstrate how the variation in the functional gradation of the thermal parameters in the bonded materials affects the temperature discontinuity across the crack faces and the heat flux flow around the crack tips.

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An antiplane crack between bonded dissimilar functionally graded isotropic elastic materials

Cited by 3 publications

References 7 publications

Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack

Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack

Analysis of stress intensity factors for edge interfacial cracks in bonded dissimilar media with a functionally graded interlayer under antiplane deformation

A Thermal Interface Crack Problem for Dissimilar Functionally Graded Isotropic Materials

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