Eccentric annular crack under general nonuniform internal pressure

• Main Authors: Moeini-Ardakani S., Kamali M.T., Shodja H.M.
• Format: Article
• Language: English
• Published: De Gruyter 2016-08-01
• Series: Journal of the Mechanical Behavior of Materials
• Subjects: annular crack; integral equations; three-part mixed boundary value problem
• Online Access: https://doi.org/10.1515/jmbm-2016-0007

For a better approximation of ring-shaped and toroidal cracks, a new eccentric annular crack model is proposed and an analytical approach for determination of the corresponding stress intensity factors is given. The crack is subjected to arbitrary mode I loading. A rigorous solution is provided by mapping the eccentric annular crack to a concentric annular crack. The analysis leads to two decoupled Fredholm integral equations of the second kind. For the sake of verification, the problem of a conventional annular crack is examined. Furthermore, for various crack configurations of an eccentric annular crack under uniform tension, the stress intensity factors pertaining to the inner and outer crack edges are delineated in dimensionless plots.