The Elastodynamic Green’s Function for a Torsional Ring Source

Author:

Lu Yichi1

Affiliation:

1. Southwest Research Institute, P.O. drawer 28510, San Antonio, TX 78228-0510

Abstract

The elastodynamic Green’s fimction for a torsional ring source in a homogeneous, linear elastic medium is derived using the Fourier-Hankel transform. The Green’s function is found to possess the same logarithmic singularity as the Legendre function of half-degree of the second kind.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference12 articles.

1. Bailey W. N. , 1936, “On the Product of Two Legendre Polynomials with Different Arguments,” Proceedings of the London Mathematical Society, Series 2, Vol. 41, pp. 215–220.

2. Cayley, A., 1961, An Elementary Treatise on Elliptic Functions, Dover, New York.

3. Cruse T. A. , SnowD. W., WilsonR. B., 1977, “Numerical Solutions in Axisymmetric Elasticity,” Computers & Structures, Vol. 7, pp. 445–451.

4. Cullity, B. D., 1972, Introduction to Magnetic Materials, Reading, Addison-Wesley, MA.

5. Erde´lyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G., 1953, Higher Transcendental Functions, McGraw-Hill, New York (there is a typo in Eq. (11), page 100, Vol. II).

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