Ultrasonic scattering from imperfect interfaces: A quasi-static model

H. Tada, P. Paris and G. Irwin,The Stress Analysis of Cracks Handbook (Del Research Corporation, St. Louis, 1973).

R. B. Thompson, B. J. Skilling, L. W. Zachary, L. W. Schmerr, and O. Buck, Effects of crack closure on ultrasonic transmission, inReview of Progress in Quantitative Nondestructive Evaluation Vol. 2, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1983), pp. 325?343.

R. B. Thompson and C. J. Fiedler, The effects of crack closure on ultrasonic scattering measurements, inReview of Progress in Quantitative Nondestructive Evaluation Vol. 3, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1984), pp. 207?215.

Y. C. Angel and J. D. Achenbach, Reflection and transmission of elastic waves by a periodic array of cracks,J. Appl. Mech. 107: 33?41 (1985).

K. Kendall and D. Tabor, An ultrasonic study of the area of contact between stationary and sliding surfaces,Proc. Roy. Soc. Lond. A. 323: 321?340 (1971).

N. F. Haines, The theory of sound transmission and reflection at contacting surfaces, Berkeley Nuclear Laboratories RD/B/N 4744, (1980).

A. B. Wooldridge, The effects of compressive stress and contamination liquids on the ultrasonic detection of fatigue cracks, Revue de Cethedec, 17e annee, 4e trimestre, 1980-NS80-2, pp. 233?244, (1980).

R. B. Thompson, C. J. Fiedler, and O. Buck, Inference of fatigue crack closure stresses from ultrasonic transmission measurements, inNondestructive Methods for Material Property Determination, C. Rudd, ed. (Plenum Press, New York, 1984), pp. 161?170.

O. Buck, R. B. Thompson, and D. K. Rehbein, Interaction of ultrasonic waves with simulated and real fatigue cracks,Review of Progress in Quantitative Nondestructive Evaluation Vol. 4, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1985), pp. 61?71.

O. Buck and R. B. Thompson, Ultrasound interaction with partially closed fatigue cracks, inFatigue 84, Vol. II, C. J. Beevers, ed., (Engineering Materials Advisory Services Ltd., Birmingham, U.K., 1984), pp. 667?676.

H. G. Tattersall, The ultrasonic pulse-echo technique as applied to adhesion testing,J. Phys. D, Applied Physics 6: 819?832 (1973).

G. A. Alers and L. J. Graham, Reflection of ultrasonic waves by thin interfaces,1975 Ultrasonics Symposium Proceedings (IEEE, New York, 1975), pp. 579?582.

G. A. Alers and R. B. Thompson, Application of trapped modes in layered media to the testing of adhesive bonds,1976 Ultrasonics Symposium Proceedings (IEEE, New York 1976), pp. 138?192.

D. K. Rehbein, J. F. Smith and D. O. Thompson, Evaluation of interfacial stresses from the amplitude of reflected ultrasonic signals, inNondestructive Evaluation: Application to Materials Processing (ASM, Philadelphia, 1984), pp. 155?160.

J. D. Achenbach and A. N. Norris, Loss of specular reflection due to nonlinear crack-face interaction,J. Nondestr. Eval. 3: 229?239 (1982).

H. M. Westergaard, Bearing pressures and cracks,J. Appl. Mech. 6: 49?53 (1939).

S. Timoshenko, and J. N. Goodier,Theory of Elasticity (McGraw-Hill, New York, 1951), pp. 377?382.

Jai-Man Baik and R. Bruce Thompson, Long wavelength elastic scattering from a planar distribution of inclusions,J. Appl. Mech. (in press).

J. D. Eshelby,Progress in Solid Mechanics Vol. II, I. N. Sneddon and R. Hill, eds. (North-Holland, Amsterdam, 1961), pp. 89?140.

T. Mura,Micromechanics of Defects in Solid (Martinus Nijhoff Pub., The Hague, 1982), pp. 63?71.