Frictionless contact of a rigid disk with the face of a penny-shaped crack in a transversely isotropic solid

Shahmohamadi, M.; Khojasteh, Ali; Rahimian, M.

doi:10.1016/j.ijsolstr.2016.11.002

Cited by 9 publications

(2 citation statements)

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“…where (27) and the limits of integration in (25) can occupy the ranges (0, a) and (b, ∞) depending upon the value of j.…”

Section: Triple Integral Equationsmentioning

confidence: 99%

“…The influence of a capillary bridge or a liquid droplet on the crack opening and stress intensity factor of a penny-shaped crack under a far-field tensile stress is investigated by Yang and Zhao [24]. Shahmohamadi et al [25] studied the axial interaction of a rigid disc with a penny-shaped crack in a transversely isotropic full-space. Moreover, the plane problem of interaction between a thin rigid inclusion and a finite crack was studied by Antipov and Mkhitaryan [26].…”

Section: Introductionmentioning

confidence: 99%

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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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“…where (27) and the limits of integration in (25) can occupy the ranges (0, a) and (b, ∞) depending upon the value of j.…”

Section: Triple Integral Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%