In this paper analytic formulas are developed for the ray path and travel time of a ray propagating in a wavy fiber–epoxy composite material and calculate them for rays initiating at various points with wave normals of differing directions. The arrival times observed by using various combinations of pointlike sources and pointlike detectors are found in good agreement with those predicted by the theory of geometrical acoustics.
REFERENCES
1.
A. L. Highsmith, J. J. Davis, and K. L. E. Helms, “The influence of fiber waviness on the compressive behavior of unidirectional continuous fiber composites,” in Composite Materials: Testing and Design, Vol. 10, ASTM STP 1120, edited by G. C. Grimes (ASTM, Philadelphia, 1992), pp. 20–36.
2.
H. M. Hsiao, I. M. Daniel, and S. C. Wooh, “Effect of fiber waviness on the compressive behavior of thick composites,” in Failure Mechanics in Advanced Polymeric Composites, AMD-Vol. 196 (ASTM, Philadelphia, 1994), pp. 141–159.
3.
S. C.
Wooh
and I. M.
Daniel
, “Wave propagation in composite materials with fiber waviness
,” Ultrasonics
33
, 3
–10
(1995
).4.
J. S. McIntyre, C. W. Bert, and R. A. Kline, “Wave propagation in a composite with wavy reinforcing fibers,” in Review of Progress in Quantitative Nondestructive Evaluation, Vol. 14, edited by D. O. Thompson and D. E. Chimenti (Plenum, New York, 1995), pp. 1311–1318.
5.
N. J.
Vlaar
, “Ray theory for an anisotropic inhomogeneous medium
,” Bull. Seismol. Soc. Am.
58
, 2053
–2072
(1968
).6.
V.
Cerveny
and I.
Psencik
, “Rays and travel time curves in inhomogeneous anisotropic media
,” Z. Geophys.
38
, 565
–577
(1972
).7.
M. J. P. Musgrave, Crystal Acoustics (Holden-Day, San Francisco, 1970).
8.
K. Y.
Kim
, “Analytic relations between the elastic constants and the group velocity in an arbitrary direction of symmetry planes of media with orthorhombic or higher symmetry
,” Phys. Rev. B
49
, 3713
–3724
(1994
).9.
K. Y.
Kim
, R.
Sribar
, and W.
Sachse
, “Analytical and optimization procedures for determination of all elastic constants of anisotropic solids from group velocity data measured in symmetry planes
,” J. Appl. Phys.
77
, 5589
–5600
(1995
).
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© 1998 Acoustical Society of America.
1998
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