Vol. 4, No. 1, 2009

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ISSN: 1559-3959
Analysis of multiple axisymmetric annular cracks

Ebrahim Asadi, Shahriar Fariborz and Mojtaba Ayatollahi

Vol. 4 (2009), No. 1, 1–11
Abstract

The solution of axisymmetric Volterra climb and glide dislocations in an infinite domain is obtained by means of the Hankel transforms. The distributed dislocation technique is used to construct integral equations for a system of coaxial annular cracks where the domain is under axisymmetric tensile load. These equations are solved numerically to obtain the dislocation density on the surfaces of the cracks. The dislocation densities are employed to determine stress intensity factors for annular and penny-shaped cracks.

Keywords
infinite domain, axisymmetric, annular crack, Volterra dislocation, dislocation density, Hankel transform
Milestones
Received: 5 July 2008
Revised: 1 November 2008
Accepted: 13 November 2008
Published: 8 April 2009
Authors
Ebrahim Asadi
Department of Mechanical Engineering
Amirkabir University of Technology (Tehran Polytechnic)
Hafez Avenue, 424
Tehran 15875-4413
Iran
Shahriar Fariborz
Department of Mechanical Engineering
Amirkabir University of Technology (Tehran Polytechnic)
Hafez Avenue, 424
Tehran 15875-4413
Iran
Mojtaba Ayatollahi
Department of Mechanical Engineering
Zanjan University
Zanjan 45195-313
Iran