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Direct and inverse scattering for viscoelastic media

Journal Article · · J. Acoust. Soc. Am.; (United States)
DOI:https://doi.org/10.1121/1.394561· OSTI ID:6749195
A time domain approach to direct and inverse scattering problems for one-dimensional viscoelastic media is presented. Such media can be characterized as having a constitutive relation between stress and strain which involves the past history of the strain through a memory function, the relaxation modulus. In the approach in this article, the relaxation modulus of a material is shown to be related to the reflection properties of the material. This relation provides a constructive algorithm for direct and inverse scattering problems. A numerical implementation of this algorithm is tested on several problems involving realistic relaxation moduli.
Research Organization:
Applied Mathematical Sciences, Ames Laboratory-USDOE, Iowa State University, Ames, Iowa 50011
OSTI ID:
6749195
Journal Information:
J. Acoust. Soc. Am.; (United States), Journal Name: J. Acoust. Soc. Am.; (United States) Vol. 81:4; ISSN JASMA
Country of Publication:
United States
Language:
English