Abstract
The use of composite materials in structural components is limited, in part, by the need to develop quantitative inspection techniques. Composites present many challenges to the development of such quantitative methods. For example, composite materials are typically anisotropic. Thus a necessary prerequisite for ultrasonic flaw detection and characterization in composite materials is an understanding of the propagation and scattering of waves in a general anisotropic media. Work towards such an understanding has been typically limited to such issues as beam propagation effects (see, for ex., Ref. [1]). The elastic wave inverse scattering problem (flaw characterization), as well as the simpler direct problem (field-flaw interaction), are only minimally developed for anisotropic media of any kind.
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References
A. N. Norris, A Theory of Pulse Propagation in Anisotropie Elastic Solids, Wave Motion 9(1987), 1–24.
D. E. Budreck and J. H. Rose, Near-field Inverse Scattering for Elastic Waves, Manuscript in preparation.
D. E. Budreck, R. A. Roberts, and J. H. Rose, Approximation Methods for Scattering in a 3-D General Anisotropic Elastic Media, Manuscript in preparation.
D. E. Budreck and J. H. Rose, Inverse Scattering for Isotropic and Anisotropic Elastodynamics, Manuscript in preparation.
J. H. Rose and M. Cheney, Generalized Eigenfunction Expansions for Scattering in Inhomogeneous Three-Dimensional Media, J. Math. Phys. 29(1988), p. 1347.
M. Cheney and J. H. Rose, Generalization of the Fourier Transform: Implications for Inverse Scattering Theory, Phys. Rev. Let. 60(1987), p. 1221.
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© 1989 Springer Science+Business Media New York
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Budreck, D.E., Rose, J.H. (1989). A Generalized Eigenfunction Expansion for Elastodynamics. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0817-1_15
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DOI: https://doi.org/10.1007/978-1-4613-0817-1_15
Publisher Name: Springer, Boston, MA
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