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Interaction of torsional waves with an annular crack in an infinitely long cylinder

โœ Scribed by R.S. Dhaliwal; B.M. Singh; J. Vrbik; S.M. Khan

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
283 KB
Volume
20
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

The Hankel transform is used to obtain a complete solution for the dynamic stresses and displacements around a flat annular surface of a crack embedded in an infiite elastic cylinder, which is excited by normal torsional waves. The curved surface of the cylinder is assumed to be stress free. Solution of the problem is reduced to three simultaneous Fredholm integral equations. By finding the numerical solution of the simultaneous Fredholm integral equations the variations of the dynamic stress-intensity factors are obtained which are displayed graphically.

๐Ÿ“œ SIMILAR VOLUMES

Problem of an infinite solid containing
Problem of an infinite solid containing a flat annular crack under torsion
โœ H.T. Danyluk; B.M. Singh ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 311 KB

An analytic method is developed to find the axisymmetric stress distribution in an infinite elastic solid containing a flat annular crack under axial torsion. By use of Hankel transforms, the solution to the problem is reduced to triple-integral equations involving Bessel functions of order 1. Modif

Torsional oscillations by an annular dis
Torsional oscillations by an annular disk on a semi-infinite cylinder embedded in an elastic half-space
โœ R.S. Dhaliwal; B.M. Singh; J. Vrbik; S.M. Khan ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 526 KB

The problem considered here is that of torsional oscillations of an annular disk, on an elastic cylinder bonded to an elastic half-space whose modulus of rigidity differs from that of the cylinder. It is assumed that the bonding at the common cylindricai surface between the cylinder and the half-spa