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A Modified Born Approximation for Scattering in Isotropic and Anisotropic Elastic Solids

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Abstract

A new modified Born approximation (MBA) is presented that significantly extends the range of validity of the Born approximation to include the pulse-echo responses of strongly scattering inclusions in an elastic solid. The MBA also improves on the doubly distorted Born approximation (DDBA), a similar modification of the Born approximation that has been recently developed. These improvements are demonstrated by comparing the MBA, the Born approximation and the DDBA with the exact separation of variables solution for spherical inclusions in isotropic media. Furthermore, it is shown that the form of the MBA remains valid even for the pulse-echo scattering of an anisotropic inclusion in a general anisotropic elastic medium so that it is potentially applicable to a wide class of flaws and materials.

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Authors and Affiliations

  1. Center for NDE, Department of Aerospace Engineering, Iowa State University, Ames, IA, 50011, USA

    Ruiju Huang & Lester W. Schmerr Jr.

  2. Department of Mechanical Engineering, Lakehead University, Thunder Bay, ON, P7B 5E1, Canada

    Alexander Sedov

Authors
  1. Ruiju Huang
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  2. Lester W. Schmerr Jr.
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  3. Alexander Sedov
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Correspondence to Ruiju Huang.

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Huang, R., Schmerr, L.W. & Sedov, A. A Modified Born Approximation for Scattering in Isotropic and Anisotropic Elastic Solids. J Nondestruct Eval 25, 139–154 (2006). https://doi.org/10.1007/s10921-006-0007-4

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  • DOI: https://doi.org/10.1007/s10921-006-0007-4

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