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High frequency solution of elastodynamic stress intensity factors due to the diffraction of plane longitudinal wave by an edge crack in a semi-infinite medium

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A harmonic in time, plane longitudinal wave is incident on a half-space containing a vertical edge crack. Both the incident field as well as the scattered field have been decomposed into symmetric and antisymmetric fields with respect to the plane of the crack, so that the problem is reduced to the boundary value problem for a 90° wedge. In both the symmetric and antisymmetric problem, incident body waves are at first diffracted by the edge of the crack. For a high frequency solution, the diffracted body wave rapidly decreasing after a few wave-lengths, the significant part of the diffracted wave is the Rayleigh wave which is reflected back from the corner of the wedge giving rise to a Rayleigh wave diffracted by the crack tip. This process of reflection of surface wave from the corner of the wedge and subsequent diffraction by the crack tip continues. Considering the contribution from the incident body waves and all the reflected Rayleigh waves, the stress intensity factors have been determined and their dependence on the frequency and on the angle of incidence has been depicted by means of graphs.
Rocznik
Strony
113--132
Opis fizyczny
Bibliogr. 17 poz., rys., wykr.
Twórcy
  • Department of Mathematics, University of North Bengal, District Darjeeling - 734430, West Bengal, India
autor
  • Department of Computer Science &: Application, University of North Bengal, District Darjeeling - 734430, West Bengal, India
autor
  • Department of Mathematics, University of North Bengal, District Darjeeling - 734430, West Bengal, India
Bibliografia
  • 1. J.D. Achenbach, L.K. Keer and D.A. Mendelsohn, Elastodynamic analysis of an edge crack, J. Appl. Mech. [ASME Trans.], 47, 551-556, 1980.
  • 2. Y.C. Angel and J.D. Achenbach, Stress intensity factors for 3-D dynamic loading of a cracked half-space, Journal of Elasticity, 15, 89-102, 1985.
  • 3. S.K. Dutta, Diffraction of SH-waves by an edge crack, J. Appl. Mech. [ASME Trans.], 46, 101-106, 1979.
  • 4. S.F. Stone, M.L. Ghosh and A.K. Mal, Diffraction of antiplane shear waves by an edge crack, J. Appl. Mech. [ASME Trans.], 47, 359-362, 1980.
  • 5. Ch. Zhang and J.D. Achenbach, Scattering of body waves by an inclined surface-breaking crack, Ultrasonics, 26, 132-138, 1988.
  • 6. L.B. Freund, Dynamic fracture mechanics, Cambridge University Press, 1990.
  • 7. D. Brock, Elementary engineering fracture mechanics, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1986.
  • 8. G.P. Cherepanov, Mechanics of brittle fracture, McGraw-Hill, New York 1979.
  • 9. Z.L. Li, J.D. Achenbach, I. Komsky and Y.C. Lee, Reflection and transmission of obliquely incident surface waves by an edge of a quarter space: theory and experiment, J. Appl. Mech. [ASME Trans.], 59, 348-355, 1992.
  • 10. A.W. Maue, Die Beugung elastischer Wellen an der Halbebene, ZAMM, 33, 1-10, 1953.
  • 11. A.T. De-Hoop, Representation theorems for the displacement in an elastic solid and their application to elastodynamic diffraction theory, 1958.
  • 12. J.D. Achenbach, Wave propagation in elastic solids, North Holland, 1975.
  • 13. S.J. Chang, Diffraction of plane dilatational waves by a finite crack, Quart. Jour. Mech. and Appl. Math., 24, 423-443, 1971.
  • 14. B. Noble, Methods based on Wiener-Hopf technique, Pergamon Press, New York 1958.
  • 15. J.D. Achenbach, A.K. Goutesen and H. McMaken, Ray methods for wave in elastic solids with applications to scattering by cracks, Pitman, Boston 1982.
  • 16. J.A. Hudson and L. Knopoff, Transmission and reflection of surface waves at a corner. 2. Rayleigh waves (theoretical), J. Geophys. Res., 69, 281-290, 1964.
  • 17. A.K. Mal and L. Knopoff, Transmission of Rayleigh waves past a step chang in elevation, Buli. Seis. Soc. Amer., 55, 319-334, 1965.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0001-0091
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