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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 33, Issue 1, Pages 19 - 31 (October 2008)


STRESS DISTRIBUTION IN A WEDGE-SHAPED ELASTIC SOLID INDENTED BY TWO RIGID PUNCHES

B. M. Singh (Canada), J. Rokne (Canada) and R. S. Dhaliwal (Canada)

Received April 14, 2008

References:



[1] A. A. Erde‘lyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Tables of Integral Transforms, Vol. 1, McGraw Hill, New York, 1954.

[2] F. Erdogan and G. D. Gupta, Contact and crack problems for an elastic wedge, Int. J. Eng. Sci. 14 (1976), 155-164.

[3] G. M. L. Gladwell, Contact problems in the classical theory of elasticity, Alphen aan den Rijn Sijthoff and Noordhoff, 1980.

[4] D. A. Hills, D. Nowell and A. Sackfield, Mechanics of Elastic Contacts, Butterworth-Heineman, Philadelphia, 1993.

[5] K. L. Jonson, Contact Mechanics, Cambridge University Press, 1985.

[6] W. T. Koiter, Approximate solution of Wiener-Hopf type integral equations with applications, Koninkl. Ned. Akad. Wetenschap. Proc., Series B 57 (1954), 558-579.

[7] M. Matczynski, Elastic wedge with discontinuous boundary conditions, Arch. Mech. Stos. 15 (1963), 833-855.

[8] R. P. Srivastav and P. Narain, Certain two-dimensional problems of stress distribution in wedge-shaped elastic solids under discontinuous load, Cambridge Phil. Soc. 61 (1965), 945-954.

[9] R. P. Srivastav and K. S. Parihar, Stress distribution in wedge-shaped elastic solids under asymmetric loads, Indian J. Mathematics 9 (1967), 530-542.

[10] C. J. Tranter, The use of Mellin transforms in finding the stress distributions in an infinite wedge, Quart. J. Mech. Appl. Math. 1 (1948), 125-130.

[11] F. A. Tricomi, On the finite Hilbert transform, Quart. J. Mech. Appl. Math. 2 (1951), 199-211.

[12] J. Tweed, S. C. Das and D. P. Rooke, The stress intensity factor of a radial crack in a finite elastic disk, Int. J. Engng. Sci. 10 (1972), 323-335.

Keywords and phrases: elasticity, stress distribution, wedge-shaped solid

 


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