Monday, 11 October 2004 - 1:25 PM

This presentation is part of : Horgan Symposium

Uniformity of Stresses Inside an Elliptic Inclusion in Finite Plane Elastostatics

Peter Schiavone1, ChongQing Ru, Leszek J. Sudak2, and Andrew Mioduchowski1. (1) University of Alberta, Department of Mechanical Engineering, 4-9 Mechanical Engineering Building, Edmonton, AB T6G 2G8, Canada, (2) University of Calgary, Department of Mechanical and Manufacturing Engineering, Calgary, AB T2N 1N4, Canada

We consider an elastic inclusion embedded in a particular class of harmonic materials subjected to uniform remote stress. Using complex variable techniques, we show that if the Piola stress within the inclusion is uniform, the inclusion is necessarily an ellipse except in the special case when the (uniform) remote stress assumes a particular form. In addition, we obtain the complete solution for an elliptic inclusion with uniform interior stress for any uniform remote stress distribution.

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