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Some thermoelastic stress distributions in an infinite solid and a thick plate containing penny-shaped cracks

Published online by Cambridge University Press:  26 February 2010

R. Shail
R. Shail
Affiliation:
The Department of Applied Mathematics, The University of Liverpool.
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Extract

In engineering practice an important class of problems concerns the evaluation of the thermal stresses set up in a heated elastic solid containing cracks. The calculation of the thermal stresses in an infinite space, in which an axially symmetric heat flux across the faces of a penny-shaped crack is prescribed, was first carried out by Olesiak and Sneddon [1], using integral transform techniques. Their solution of the statical equations of thermoelasticity is appropriate to the case of a crack whose faces are stress free and gives zero shear stress on the plane containing the crack. Williams [2] has subsequently shown that the displacement vector in [1 ] can be written in terms of two harmonic functions, one of which is directly related to the temperature field, and has indicated how the analysis of [1] can be reduced to certain simple potential boundary value problems.

Type
Research Article
Information
Mathematika , Volume 11 , Issue 2 , December 1964 , pp. 102 - 118
Copyright
Copyright © University College London 1964

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References

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