Plane‐Strain‐Wave Scattering by Cracks in Laminated Composite Plates
Publication: Journal of Engineering Mechanics
Volume 117, Issue 8
Abstract
A hybrid method is presented for analyzing scattering of time‐harmonic plane strain waves by cracks in an infinite laminated composite plate. The modeling is achieved by dividing the domain into two regions: an interior region that consists of the cracks and a finite region of the plate around the cracks; and an unbounded exterior region. The hybrid method combines a finite element formulation in the interior region with a wave‐function expansion representation in the exterior region. The method is illustrated through solving the problem of scattering by a symmetric normal‐edge crack. Numerical results for the reflection coefficients are presented for an isotropic plate, a homogeneous fiber‐reinforced plate, and a laminated fiber‐reinforced plate. The validity and accuracy of the results are checked by satisfaction of the reciprocity relations and the principle of energy conservation. The technique presented can be used to characterize cracks in laminated composite plates.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abduljabbar, Z., Datta, S. K., and Shah, A. H. (1983). “Diffraction of horizontally polarized shear waves by normal edge cracks in a plate.” J. Appl. Phys., 54(2), 461–472.
2.
Auld, B. A. (1973). Acoustic fields and waves in solids. 2, Wiley‐Interscience, New York, N.Y.
3.
Barsoum, R. S. (1976). “On the use of isoparametric finite elements in linear fracture mechanics.” Int. J. Numer. Meth. Engrg., 10(1), 25–37.
4.
Bathe, K. J. (1982). Finite element procedures in engineering analysis. Prentice‐Hall Inc., Englewood Cliffs, N.J.
5.
Conte, S. D., and Boor, C. D. (1972). Elementary numerical analysis. 2nd Ed. McGraw‐Hill, New York, N.Y.
6.
Datta, S. K., Achenbach, J. D., and Rajapakse, Y. S., eds. (1990a). Elastic waves and ultrasonic nondestructive evaluation. Elsevier Science Publishers, Amsterdam, the Netherlands.
7.
Datta, S. K., Shah, A. H., and Karunasena, W. M. (1990b). “Edge and layering effects in a multilayered composite plate.” Computers and Struct., 37(2), 151–162.
8.
Dong, S. B., and Huang, K. H. (1985). “Edge vibrations in laminated composite plates.” J. Appl. Mech., 52(2), 433–438.
9.
Ju, T.‐H., Datta, S. K., and Shah, A. H. (1990). “Scattering of impact wave by a crack in composite plate.” Impact response and elastodynamics of composites, A. K. Mai and Y. D. S. Rajapakse, eds., Am. Soc. of Mech. Engrs., New York, N.Y., 153–171.
10.
Karunasena, W. M., Shah, A. H., and Datta, S. K. (1991). “Reflection of plane strain waves at the free edge of a laminated composite plate.” Int. J. Solids Struct., 27(8), 949–964.
11.
Koshiba, M., Karakida, S., and Suzuki, M. (1984). “Finite element analysis of Lamb wave scattering in an elastic plate wave guide.” IEEE Trans, on Sonics and Ultrasonics, SU‐31(1), 18–25.
12.
Miklowitz, J. (1960). “Recent advances in elastic wave propagation.” Appl. Mech. Rev., 13(12), 865–878.
13.
Mindlin, R. D. (1960). “Waves and vibrations in isotropic, elastic solids.” Proc. 1st Symp. Naval Struct. Mech., J. N. Goodier, and N. Hoff, eds., Pergamon Press, 199–232.
14.
Nayfeh, A. H., and Chimenti, D. E. (1989). “Free wave propagation in plates of general anisotropic media.” J. Appl. Mech., 56(4), 881–886.
15.
Paskaramoorthy, R., Shah, A. H., and Datta, S. K. (1989). “Scattering of flexural waves by a crack in a plate.” Engrg. Frac. Mech., 33(4), 589–598.
16.
Rokhlin, S. I. (1980). “Diffraction of Lamb waves by a finite crack in an elastic layer.” J. Acoust. Soc. Am., 67(4), 1157–1165.
17.
Rokhlin, S. I. (1981). “Resonance phenomena of Lamb wave scattering by a finite crack in a solid layer.” J. Acoust. Soc. Am., 69(4), 922–926.
18.
Spetzler, H., and Datta, S. K. (1990). “Experimental flaw detection by scattering of plate waves.” Elastic waves and ultrasonic nondestructive evluation, S. K. Datta, J. D. Achenbach, and Y. S. Rajapakse, eds., Elsevier Science Publishers, Amsterdam, the Netherlands, 135–141.
19.
Tan, M., and Auld, B. A. (1980). “Normal mode variational method for the twoand three‐dimensional acoustic scattering in an isotropic plate.” 1980 Ultrasonic Symp. Proc, Institute for Electrical and Electronics Engineers, 857–861.
20.
Zienkiewicz, O. C. (1977). The finite element method. McGraw‐Hill, London, England.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Aug 1, 1991
Published in print: Aug 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.