Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



A perturbation method for boundary value problems in dynamid elasticity

Authors: Stephen A. Thau and Yih-Hsing Pao
Journal: Quart. Appl. Math. 25 (1967), 243-260
DOI: https://doi.org/10.1090/qam/99899
MathSciNet review: QAM99899
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References | Additional Information

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

  • [1] S. A. Thau, Diffraction of elastic waves by a parabolic cylinder and dynamic stress concentrations, Ph.D. thesis, Cornell University, Ithaca, N. Y., 1966
  • [2] M. Roseau, Diffraction of elastic waves in a homogeneous medium clamped along a half-plane, Comm. Pure Appl. Math. 12, 67 (1959) MR 0134955
  • [3] A. Sommerfeld, Mathematische Theorie der Diffraction, Math. Ann. 47, 317 (1896) MR 1510907
  • [4] C. E. Weatherburn, Advanced vector analysis, G. Bell and Sons, Ltd., London, 1947, p. 87
  • [5] A. E. H. Love, Mathematical theory of elasticity, Dover Publications, New York, N. Y., 1944, p. 497 MR 0010851
  • [6] S. A. Thau and Y. H. Pao, Stress intensification near a semi-infinite rigid-smooth strip due to diffraction of elastic waves, J. Appl. Mech. (to appear)
  • [7] H. Lamb, On Sommerfeld's diffraction problem and On reflection by a parabolic mirror, Proc. London Math. Soc. Series 2, Vol. 4, 1907, p. 190 MR 1576085
  • [8] Y. H. Pao and C. C. Mow, Dynamic stress concentration in an elastic plate with rigid circular inclusion, p. 335, Proc Fourth U. S. National Congress of Applied Mechanics, Berkeley, California, June, 1962 MR 0151024
  • [9] P. M. Morse, Vibration and sound, McGraw-Hill, New York, 1948, p. 354
  • [10] B. Noble, Methods based on the Wiener-Hopf technique, Pergamon Press, New York, 1958, p. 48 MR 0102719

Additional Information

DOI: https://doi.org/10.1090/qam/99899
Article copyright: © Copyright 1967 American Mathematical Society

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