Transient elastic waves in a transversely isotropic plate

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 2, 1996, Pages 337-346

  Weaver, R L ^a   Sachse, W ^b   Kim, Kwang Yul ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746278419     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788870     Document Type: Article

References (46)

1. Bedding, R. J., and Willis, J. R., 1980, “The elastodynamics Green’s tensor for a half space with an embedding anisotropic layer,” Wave Motion, Vol. 2. No. 1, pp. 51 -62.
2. Ben-Mcnahem, A., and Sena, A. G., 1990, “The elastodynamic Green’s tensor in an anisotropic half-space,” Geophys. J. Int., Vol. 102, pp. 421-443.
3. Bouchon, M., and Aki, K., 1977, “Discrete wavenumber representation of scismic-source wave fields,” Bull. Seism. Soc. of Am., Vol. 67, pp. 259-277.
4. Buchwald, V. T., 1959, “Elastic waves in anisotropic media,” Proc. R. Soc. London, Vol. A253, pp. 563-580.
5. Castagnede, B., Kim, K. Y., Sachse, W., and Thompson, M. O., 1991, “Determination of the clastic constants of anisotropic materials using laser-generated ultrasonic signals,” J. Appl. Phys., Vol. 70, No. 1, pp. 150-157.
6. Ccranoglu, A. N., and Pao, Y. H., 1981, “Propagation of Elastic Pulses and Acoustic Emission in a Plate,” ASME Journal of Applied Mechanics, Vol. 48, pp. 125-147.
7. Chang, C., and Sun, C. T., 1988, “Acoustic emissions and transient elastic waves in an orthotropic laminate plate,” Composite Sci. Tech., Vol. 33, pp. 213-236.
8. Duprey, K., 1993, “Attenuation Recovery in Viscoelastic Plates including the Effects of Finite Aperture Transducers,” M.S. Dissertation, Cornell University. Ithaca, NY.
9. Every, A. G., and Sachse, W., 1990, “Determination of the elastic constants of anisotropic solids from acoustic wave group velocity measurements,” Physical Review B. Vol. 42. No. 13, pp. 8196-8205.
10. Every, A. G., and Sachse, W., 1991, “Imaging of laser-generated ultrasonic waves in silicon,” Physical Review B, Vol. 44, No. 13, pp. 6689-6699.
11. Every, A. G., Sachse, W., Kim, K. Y., and Niu, L., 1991, “Determination of elastic constants of anisotropic solids from group velocity data,” Review of Progress in Quantitative Nondestructive Evaluation, Vol. IOB, D. O. Thompson and D. E. Chimenti, eds., Plenum Press, New York, pp. 1663-1668.
12. Every, A. G., and Kim, K. Y., 1994, “Time domain dynamic response functions of elastically anisotropic solids,” J. Acoust. Soc. Am. Vol. 95, No. 5, pp. 2505-2516.
13. Hsu, N. N., 1985, “Dynamic Green’s Functions of an Infinite Plate—A Computer Program,” NBSIR 85-3234, National Bureau of Standards, Gaithersburg, MD.
14. Kim, K. Y., and Sachse, W., 1994, “Direct determination of group velocity surfaces in a cuspidal region in zinc,” J. Appl. Phys., Vol. 75, No. 3, pp. 1435-1441.
15. Kim, K. Y., Sachse, W., and Hsich, P., 1989, “Quantitative study of fracture by acoustic emission from cracks,” Advances in Fracture Research, Vol. 5, K. Salama, K. Ravichandar, D. M. R. Taplin, and P. R. Rao, cds., Pergamon Press, New York, pp. 3185-3196.
16. Kim, K. Y., Sachse, W., and Every, A. G., 1993a, "On the determination of sound speeds in cubic crystals and isotropic media using a broadband ultrasonic point-source/point-receiver method,” J. Acoust. Soc. Am., Vol. 93, No. 3, pp. 1393-1406.
17. Kim, K. Y., Every, A. G., and Sachse, W., 1993b, “Focusing of acoustic energy at the conical point in zinc,” Phys. Rev. Letters, Vol. 70, pp. 3443-3446.
18. Kim, K. Y., Every, A. G., and Sachse, W., 1994, “Focusing of Quasi-Trans-vcrsc Modes in Zinc at Ultrasonic Frequencies,” Int. J. Mod. Phys. B, Vol. 8, No. 17, pp. 2327-2352.
19. Knopoff, L„ 1958, “Surface Motions of a Thick Plate,” J. Appl. Phys., Vol. 24, pp. 661-670.
20. Kundu, T., and Mal, A. K., 1985, “Elastic waves in a multilayered solid due to a dislocation source,” Wave Motion, Vol. 7, pp. 459-471.
21. Lih, S. S., and Mal, A. K., 1992, “Elastodynamic response of unidirectional composite laminates to concentrated loads,” ASME Journal of Applied Mechanics, Vol. 59, pp. 878-886; 887-894.
22. Lu, I. T., and Felsen, L. B., 1985, “Ray, mode, and hybrid options for source excited propagation in an elastic plate,” J. Acoust. Soc. Am., Vol. 78, No. 2, pp. 701-714.
23. Musgrave, M. J. P., 1970, Crystal Acoustics. Holden-Day, San Francisco, Chapters 7 and 8.
24. Nayfeh, A., and Chimenti, D., 1989, “Free wave propagation in plates of general anisotropic media,” ASME Journal of Applied Mechanics, Vol. 56, pp. 881-888.
25. Nayfeh, A„ and Kim, Y.-Y., 1993, "Wave propagation in anisotropic media due to internal transient line loads,” paper read at the ASME-AMD Summer Meeting, Charlottesville, VA, June, 1993; in Meet‘N'93, Abstracts, p. 504.
26. Niu, L., 1992, “The Determination of the Elastic Constants of Composite Materials from Ultrasonic Group Velocity Data,” Ph.D. Dissertation. Cornell University, Ithaca, NY.
27. Pao, Y. H., and Gajewski, R., 1977, “The Generalized Ray Theory and Transient Responses of Layered Elastic Solids,” Physical Acoustics, Vol. XIII, W. P. Mason and R. N. Thurston, eds„ Academic Press, New York, pp. 183-265.
28. Payton, R. G„ 1983, Elastic Wave Propagation in Transversely Isotropic Media, Martinus Nijhoff, Hague.
29. Pekeris, C. L„ 1955, 'The seismic surface pulse,” Proc. Natl. Acad. Sci., Vol. 41, pp. 469-480; 629-638.
30. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T„ 1986, Numerical Recipes, Cambridge University Press, Cambridge, UK.
31. Sachse, W. and Kim, K. Y„ 1986, "Poinl-sourcc/point-receiver materials testing," Review of Quantitative Nondestructive Evaluation, Vol. 6A, D. O. Thompson and D. E. Chimenti, eds., Plenum Press, New York, pp. 311 -320;
32. Sachse, W. and Kim, K. Y„1987a, Ultrasonic Materials Characterization II, J. Boussifcrc, J. P. Monchalin, C. O. Ruud, and R. E. Green, eds„ Plenum Press, New York, pp. 707-715.
33. Sachse, W„ and Kim, K. Y„ 1987b, "Quantitative acoustic emission and failure mechanics of composite materials,” Ultrasonics, Vol. 25, pp. 195-203.
34. Sachse, W„ Castagnede, B„ Grabec, I„ Kim, K. Y„ and Weaver, R. L„ 1990a, “Recent developments in quantitative ultrasonic NDE of composites,” Ultrasonics, Vol. 28, pp. 97-104.
35. Sachse, W„ Every, A. G„ and Weaver, R. L„ 1991, "Interpretation of ultrasonic PS/PR amplitude data,” Review of Progress in Quantitative Nondestructive Evaluation. Vol. 10A, D. O. Thompson and D. E. Chimenti, eds„ Plenum Press, New York, pp. 129-136.
36. Santosa, F., and Pao, Y. H„ 1989, “Transient axially asymmetric response of an elastic plate," Wave Motion, Vol. 11, pp. 271-295.
37. Scruby, C. B„ 1985, "Quantitative acoustic emission techniques," Research Techniques in Nondestructive Testing. Vol. VIII, R. S. Sharpe, ed., Academic Press, London, pp. 141-210.
38. Synge, J. L„ 1957, "Elastic waves in anisotropic media," J. Math. Phys., Vol. 35, pp. 323-334.
39. Van der Hijdcn, J. H. M. T„ 1987, Propagation of Transient Elastic Waves in Stratified Anisotropic Media, Applied Mathematics and Mechanics, Vol. 32, North-Holland, Amsterdam.
40. Vasudevan, N„ and Mai, A. K„ 1985, "Response of an elastic plate to localized transient sources," ASME Journal of Applied Mechanics, Vol. 52. pp. 356-362.
41. Weaver, R. L„ and Pao, Y. H„ 1982a, "Axisymmetric waves excited by a point source in a plate," ASME Journal of Applied Mechanics, Vol. 49. pp. 821-836.
42. Weaver, R. L., and Pao, Y. H„ 1982b, “Spectra of transient clastic waves in elastic plates," J. Acoust. Soc. Am., Vol. 72, pp. 1933-1941.
43. Weaver, R. L„ and Sachse, W„ 1994, "Asymptotic viscoelastic rays in a thick plate," ASME Journal of Applied Mechanics, Vol. 61, pp. 429-432.
44. Weaver, R. L., Sachse, W„ and Niu, L„ 1989, "Transient ultrasonic waves in a viscoelastic plate, Part I: Theory; Part II; Applications to materials characterization,” J. Acoust. Soc. Am., Vol. 85, No. 6, pp. 2255-2261; 2262-2267.
45. Wu, T. T„ and Kuo, C.-L., 1990,' 'A study of acoustic emission waves in double layer composite plates,” Progress in Acoustic Emission V, Japanese Society Cor ND1, Tokyo, pp. 217-221.
46. Xu, P. C„ and Mai, A. K„ 1985, “An adaptive integration scheme for irregularly oscillating functions,” Wave Motion, Vol. 7, pp. 235-243.