Application of MOOT to Scattering of Elastic Waves from Inclusions and Cracks

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1980
Authors
Visscher, William
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Review of Progress in Quantitative Nondestructive Evaluation
Center for Nondestructive Evaluation

Begun in 1973, the Review of Progress in Quantitative Nondestructive Evaluation (QNDE) is the premier international NDE meeting designed to provide an interface between research and early engineering through the presentation of current ideas and results focused on facilitating a rapid transfer to engineering development.

This site provides free, public access to papers presented at the annual QNDE conference between 1983 and 1999, and abstracts for papers presented at the conference since 2001.

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The method of optimal truncation (MOOT), a convergent T-matrix scheme, has been applied to the computation of scattering of elastic waves from axially symmetric fluid and elastic inclusions imbedded in an isotropic homogeneous medium. Cones, pillboxes, and spheroids have been considered; an example of frequency and angular dependence of scattering from an oblate spheroid is given. Cracks may be considered as special cases of inclusions wherein the included material is identical to the host. A circular crack, for example, may be simulated by imposing free boundary conditions on the top surface of a pillbox and requiring continuity of displacements and surface tractions elsewhere. Alternatively, it may be feigned by an equatorially cloven spherical inclusion, wherein free boundary conditions are imposed on the bisecting plane and the spherical surfaces are welded.

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