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J-Integral Elliptical Hole (Plane Stress) Perfectly Plastic Material

David J Unger's picture

The fracture mechanics community may be interested in a new evaluation of a J-Integral for a fundamental geometry:  an elliptical hole in a perfectly plastic material under the Tresca yield condition for plane stress loading conditions. The analysis is exact and involves only elementary functions.  This makes the problem suitable as a classroom example or as a homework problem for a graduate level course in fracture mechanics.  See J. Elasticity (2008) 92:217-226.

David J Unger's picture

A large deformation extension of this particular elliptical hole problem by the author has been published in the Journal of Elasticity, 99, 117-130 (2010).  To the best of the author’s knowledge this is the first analytical nonproportional plasticity solution to a crack problem.

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