Journal of Elasticity

, Volume 92, Issue 3, pp 217–226 | Cite as

Path Independent Integral for an Elliptical Hole in a Plate under Tension for Plane Stress Deformation Theory

  • David J. Unger


An exact expression is derived for a path independent integral surrounding an elliptical hole in an infinite plate with tensile tractions at infinity for plane stress loading conditions. The plate is composed of a non-work-hardening material satisfying the Tresca yield condition under proportional loading and small strain assumptions. This problem may serve as a simple classroom example for the derivation of a relationship between crack opening displacement and path independent integral for a nonlinear elastic material satisfying the Tresca yield condition.


Path independent integral Elliptical hole Tresca yield condition Perfectly plastic 

Mathematics Subject Classification

74A45 74C05 74B20 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.University of EvansvilleEvansvilleUSA

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