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A note on stress concentration around an elliptic hole in micropolar elasticity

Published online by Cambridge University Press:  17 February 2009

Animesh Basu
Animesh Basu
Affiliation:
The University of New South Wales, Royal Military College, Duntroon, A.C.T., Australia.
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Abstract

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Within the scope of Eringen's linearised micropolar theory, this note outlines a solution for the stress concentration around an elliptic hole in an infinite plate under axial tension.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 3 , June 1976 , pp. 289 - 293
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Eringen, A. C., ‘Linear theory of micropolar elasticity’, J. Math. Mech. 15 (1966), 909–923.Google Scholar
[2]Timoshenko, S. and Goodier, J. N., Theory of Elasticity, 2nd Edition, McGraw-Hill (1951).Google Scholar
[3]Ghosh, S., ‘Plane strain in an infinite plate with an elliptic hole’, Bull. Cal. Math. Soc., Vol. 28, No. 1 (1936), 21–47.Google Scholar
[4]Liebowitz, H. (Ed.), Fracture, Vol. 2 (1968), 713–719.Google Scholar
[5]McLachlan, N. W., Theory and application of Mathieu functions, New York, Dover Publications (1964).Google Scholar