Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Diffraction of elastic waves by a penny-shaped crack


Author: A. K. Mal
Journal: Quart. Appl. Math. 26 (1968), 231-238
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/231573
MathSciNet review: 231573
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The diffraction of axisymmetric, harmonic elastic waves by a circular crack is considered. It is shown that the potential functions for the diffracted waves can be obtained from the solution of a pair of dual integral equations. The dual equations are transformed into integral equations of the second kind suitable for iteration at low frequencies. The principle of contraction mapping is used to discuss the convergence of the iteration scheme. The solution satisfies an edge condition.


References [Enhancements On Off] (What's this?)

  • [1] A. K. Mal, D. D. Ang and L. Knopoff, Diffraction of elastic waves by a rigid circular disc, Proc. Camb. Phil. Soc. 1967 (In press)
  • [2] Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.35

Retrieve articles in all journals with MSC: 73.35


Additional Information

DOI: https://doi.org/10.1090/qam/231573
Article copyright: © Copyright 1968 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website