This paper considers the torsional impact response of a long thick-walled cylinder containing an internal or external circumferential edge crack. Laplace and Hankel transforms are used to reduce the elastodynamic problem to a pair of dual integral equations. The dual integral equations are solved by using the standard transform technique, and the result is expressed in terms of an integral equation which has a generalized Cauchy kernel as the dominant part. The kernel of the integral equation is improved in order that the calculation may be made easy. A numerical Laplace inversion technique is used to recover the time dependence of the solution.
|Number of pages||8|
|Journal||American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP|
|Publication status||Published - 1989 Dec 1|
|Event||ASME Pressure Vessels and Piping Conference 1989 - Honolulu, HI, USA|
Duration: 1989 Jul 23 → 1989 Jul 27
ASJC Scopus subject areas
- Mechanical Engineering