Quarterly of Applied Mathematics Quarterly of Applied Mathematics
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Contact problem for a wedge-shaped elastic solid in antiplane shear stress distribution

Author(s): B. M. Singh; J. Rokne; R. S. Dhaliwal
Journal: Quart. Appl. Math. 63 (2005), 545-551.
MSC (2000): Primary 74B05
Posted: May 19, 2005
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Abstract: The three-part mixed boundary value contact problem for a wedge-shaped region has been solved with the aid of Mellin transforms. Closed form expression for shear stress has been obtained. Finally, numerical results for shear stress and the resultant contact pressure have been obtained and interpreted.

References:

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Srivastav, R. P. Narain, P., Certain two-dimensional problems of stress distribution in wedge-shaped elastic solids under discontinuous load, Proc. Cambridge Philos. Soc. 61 (1965), 945-954. MR 0183164 (32:646)

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Sneddon, I.N.: The elementary solution of dual integral equations, Proc. Glasgow Math. Assoc. 4 (1960), 108-110. MR 0119059 (22:9825)

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Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Tables of Integral Transforms, Vol. 1, McGraw Hill, New York (1954).

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Sneddon, I. N., Mixed boundary value problems in potential theory, North-Holland, Amsterdam (1966). MR 0216018 (35:6853)

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Tricomi, F. G., On the finite Hilbert transformation, Quart, J. Math., Oxford Ser. (2) 2 (1951), 199-211. MR 0043258 (13,231e)

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Gradshteyn, I. S. and Ryzhik, I. M.: Tables of Integrals, Series and Products. Academic Press (1980).

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Additional Information:

B. M. Singh
Affiliation: Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

J. Rokne
Affiliation: Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

R. S. Dhaliwal
Affiliation: Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4

PII: S0033-569X-05-00965-9
Received by editor(s): November 18, 2004
Posted: May 19, 2005
Copyright of article: Copyright 2005, Brown University


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