The dynamic stresses induced by the propagation of skew cracks

Jacob Aboudi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Skew crack propagation in an elastic medium due to the application of transient in-plane and anti-plane loads is investigated. For the anti-plane loading the motion of the crack is purely of mode III type, whereas in the case of in-plane loading a mixed mode type of fracture takes place in which both modes I and II occur. The method of solution is numerical and is based on a certain time-dependent transformation which maps the physical plane of the crack into an auxiliary plane in which the crack propagates collinearly with its propagating tip appearing always at the origin of the moving coordinate system. The transformed equations of motion are approximated by an implicit, three-level, finite difference system of equations of second-order accuracy, whose stability analysis is discussed. The reliability of the proposed method of solution is examined in several situations in which analytical results are known, and satisfactory agreement is achieved. Extension to smoothly curving cracks is discussed.

Original languageEnglish
Pages (from-to)181-199
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume15
Issue number2
DOIs
StatePublished - Aug 1978

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