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The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):125-130; doi:10.1093/qjmam/1.1.125
© 1948 by Oxford University Press
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THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGE

C. J. TRANTER

( Military College of Science Shrivenham )

By making use of the Mellin transform a formal solution is obtained for the stress distribution in an infinite wedge under fairly general conditions of surface loading. The results for the particular case in which each surface is subjected to unit pressure for a finite distance measured from the vertex of the wedge are reduced to infinite integrals. These can be evaluated exactly when the wedge is a semi-infinite solid and are in a form suitable for numerical computation for other wedge angles.


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