Contact problem for a wedge-shaped elastic solid in antiplane shear stress distribution
Authors:
B. M. Singh, J. Rokne and R. S. Dhaliwal
Journal:
Quart. Appl. Math. 63 (2005), 545-551
MSC (2000):
Primary 74B05
DOI:
https://doi.org/10.1090/S0033-569X-05-00965-9
Published electronically:
May 19, 2005
MathSciNet review:
2169033
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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.
- R. P. Srivastav and Prem Narain, Certain two-dimensional problems of stress distribution in wedge-shaped elastic solids under discontinuous load, Proc. Cambridge Philos. Soc. 61 (1965), 945–954. MR 183164, DOI https://doi.org/10.1017/s0305004100039347
- Ian N. Sneddon, The elementary solution of dual integral equations, Proc. Glasgow Math. Assoc. 4 (1960), 108–110 (1960). MR 119059
Erdelyi54 Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Tables of Integral Transforms, Vol. 1, McGraw Hill, New York (1954).
- Ian N. Sneddon, Mixed boundary value problems in potential theory, North-Holland Publishing Co., Amsterdam; Interscience Publishers John Wiley & Sons, Inc., New York, 1966. MR 0216018
- F. G. Tricomi, On the finite Hilbert transformation, Quart. J. Math. Oxford Ser. (2) 2 (1951), 199–211. MR 43258, DOI https://doi.org/10.1093/qmath/2.1.199
Gradshteyn80Gradshteyn, I. S. and Ryzhik, I. M.: Tables of Integrals, Series and Products. Academic Press (1980).
Srivastav65 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.
Sneddon60 Sneddon, I.N.: The elementary solution of dual integral equations, Proc. Glasgow Math. Assoc. 4 (1960), 108-110.
Erdelyi54 Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Tables of Integral Transforms, Vol. 1, McGraw Hill, New York (1954).
Sneddon66 Sneddon, I. N., Mixed boundary value problems in potential theory, North-Holland, Amsterdam (1966).
Tricomi51 Tricomi, F. G., On the finite Hilbert transformation, Quart, J. Math., Oxford Ser. (2) 2 (1951), 199–211.
Gradshteyn80Gradshteyn, 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
Received by editor(s):
November 18, 2004
Published electronically:
May 19, 2005
Article copyright:
© Copyright 2005
Brown University
