Vol. 5, No. 6, 2010
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Revisiting the Hult–McClintock closed-form solution for mode III cracks

Zhi-jian Yi
Vol. 5 (2010), No. 6, 1023–1035
DOI: 10.2140/jomms.2010.5.1023
Abstract

The well-known closed-form solution given by Hult and McClintock for an antiplane crack in an elastic-perfectly plastic material is reconsidered using the crack line analysis method. A precise elastic-plastic solution near the crack line region, different from Hult and McClintock’s, is deduced by matching the general solution of the plastic field with that of the exact elastic field. It is verified from the deduction that the Hult–McClintock elastic-plastic solution is inadequate for many purposes.

Keywords
crack, crack line, elastic-plastic solution, Hult–McClintock solution
Milestones
Received: 30 July 2009
Revised: 25 November 2009
Accepted: 25 November 2009
Published: 4 January 2011
Authors
Zhi-jian Yi
School of Civil Engineering
Chongqing Jiaotong University
Chongqing 400074
China