Diffraction of a plane shear elastic wave by a circular rigid disk and a penny-shaped crack
Authors:
D. L. Jain and R. P. Kanwal
Journal:
Quart. Appl. Math. 30 (1972), 283-297
DOI:
https://doi.org/10.1090/qam/99726
MathSciNet review:
QAM99726
Full-text PDF Free Access
References |
Additional Information
D. L. Jain and R. P. Kanwal, An integral equation perturbation technique in applied mathematics-II, applications to diffraction theory, Appl. Anal. (1972)
- D. L. Jain and R. P. Kanwal, An integral equation method for solving mixed boundary value problems, SIAM J. Appl. Math. 20 (1971), 642–658. MR 288401, DOI https://doi.org/10.1137/0120064
- R. A. Westmann, Asymmetric mixed boundary-value problems of the elastic half-space, Trans. ASME Ser. E. J. Appl. Mech. 32 (1965), 411–417. MR 184483
A. K. Mal, Dynamic stress intensity factors for a non-axisymmetric loading of the penny-shaped crack, Int. J. Engng. Sci. 6, 725–733 (1968)
- Ram P. Kanwal, Linear integral equations, Modern Birkhäuser Classics, Birkhäuser/Springer, New York, 2013. Theory & technique; Reprint of the 2nd (1997) edition [MR1427946]. MR 2986176
- B. Noble, Integral equation perturbation methods in low-frequency diffraction., Electromagnetic waves, Univ. of Wisconsin Press, Madison, Wis., 1962, pp. pp 323–360. MR 0135459
P. J. Barrat and W. D. Collins, The scattering cross section of an obstacle in an elastic solid for plane harmonic waves, Proc. Camb. Phil. Soc. 61, 969–981 (1965)
- G. N. Bycroft, Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratum, Philos. Trans. Roy. Soc. London Ser. A 248 (1956), 327–368. MR 86506, DOI https://doi.org/10.1098/rsta.1956.0001
H. Liebowitz (editor), Fracture, an advanced treatise, Vol. II, Academic Press, New York, 1968, 146.
I. A. Robertson, Diffraction of a plane longitudinal wave by a penny-shaped crack, Proc. Camb. Phil. Soc. 63, 229–238 (1967)
D. L. Jain and R. P. Kanwal, An integral equation perturbation technique in applied mathematics-II, applications to diffraction theory, Appl. Anal. (1972)
---, An integral equation method for solving mixed boundary value problems, SIAM J. Appl. Math. 20, 642–658 (1971)
R. A. Westmann, Asymmetric mixed boundary-value problems of the elastic half-space, J. Appl. Mech. 32, 411–417 (1965)
A. K. Mal, Dynamic stress intensity factors for a non-axisymmetric loading of the penny-shaped crack, Int. J. Engng. Sci. 6, 725–733 (1968)
R. P. Kanwal, Linear integral equations, theory and technique, Academic Press, N. Y., 1971
B. Noble, Integral equation perturbation methods in low-frequency diffraction, in Electromagnetic waves (ed. R. E. Langer), Univ. of Wisconsin Press, 1962
P. J. Barrat and W. D. Collins, The scattering cross section of an obstacle in an elastic solid for plane harmonic waves, Proc. Camb. Phil. Soc. 61, 969–981 (1965)
G. N. Bycroft, Forced vibrations of a rigid circular plate on a semi-infinite elastic space ond on an elastic stratum, Phil. Trans. Roy. Soc. London 248, 327–368 (1956)
H. Liebowitz (editor), Fracture, an advanced treatise, Vol. II, Academic Press, New York, 1968, 146.
I. A. Robertson, Diffraction of a plane longitudinal wave by a penny-shaped crack, Proc. Camb. Phil. Soc. 63, 229–238 (1967)
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Article copyright:
© Copyright 1972
American Mathematical Society
