A penny-shaped crack under time-harmonic torsional body forces

Rahman, M.

doi:10.1016/0013-7944(94)90052-3

Cited by 9 publications

(1 citation statement)

References 18 publications

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“…Dynamic stress intensity factor for a penny-shaped crack embedded in an infinite elastic medium under time harmonic torsional body forces was investigated by Rahman [11]. The study of an infinite domain containing a penny-shaped crack which is loaded axially by a rigid disc inclusion in an isotropic elastic medium was performed by Selvadurai et al [12].…”

Section: Introductionmentioning

confidence: 99%

Axial translation of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic solid

2017

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In this paper, an analytical solution for the axisymmetric interaction of a rigid disc inclusion embedded in bonded contact with the surfaces of a penny-shaped crack and a transversely isotropic medium is investigated. By using a method of potential functions and treating dual and triple integral equations, the mixed boundary value problem is written in the form of two coupled integral equations, which are amenable to numerical treatments. The axial stiffness of the inclusion and the shearing stress intensity factor at the tip of the penny-shaped crack for different degrees of material anisotropy are illustrated graphically. Useful limiting cases such as a rigid disc inclusion in an uncracked medium and in a completely cracked solid are recovered.

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Section: Introductionmentioning

confidence: 99%

Axial translation of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic solid

2017

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Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Mykhas’kiv

Stankevych

2019

Z Angew Math Mech

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Dynamic stress intensification due to the penny-shaped crack in a three-component elastic solid consisting of two dissimilar half-spaces and intermediate layer is analyzed. Twisting time-harmonic loading is applied to the opposite surfaces of the crack, which can be located in any component of the composite and has parallel orientation to its interfaces. Corresponding frequency-domain problem is solved by an improved boundary integral equation method, where identical satisfaction of perfect contact conditions at two presented interfaces is provided. Then, application of the dynamic loading condition on the crack-surfaces results in two uncoupled boundary integral equations relative to the tangential crack-opening-displacements. These quantities are defined by the collocation technique. Numerical examples concern the effects of the dimensionless wave number, the material mismatch, and the crack-interfaces distance on the mode-III dynamic stress intensity factor in the crack vicinity. K E Y W O R D Sboundary integral equation method, dynamic stress intensity factor, layered composite, penny-shaped crack, twisting time-harmonic loading

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Time-harmonic body force loading of a mode-II penny-shaped crack in an elastic solid

Rahman

1996

International Journal of Engineering Science

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A penny-shaped crack under time-harmonic torsional body forces

Cited by 9 publications

References 18 publications

Axial translation of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic solid

Axial translation of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic solid

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Time-harmonic body force loading of a mode-II penny-shaped crack in an elastic solid

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