Elastic Wave Scattering by Macro-Micro Crack Configurations

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1989
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Qu, Jianmin
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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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Elastic wave scattering by several cracks in an infinite isotropic elastic solid has been studied by several investigators[1]–[6]. In general, a system of singular integral equations for the crack opening displacements or the dislocation densities has to be solved. From the crack-damage interaction point of view, a special case of some practical importance is the macro-micro crack configuration, especially when the microcracks are in the vicinity of the macrocrack tips. For example, a macrocrack tip in ceramics usually is accompanied by a cloud of microcracks. In this paper, an iteration method is developed for this special configuration. Instead of solving a system of singular integral equations simultaneously, we need to solve only one equation, for each crack, at each iterative step. This iteration approach is based on the elastodynamic integral representation theorem, and can be applied to both 2-D and 3-D cracks. Furthermore, it can also be extended to cracks in anisotropic solids, since the constitutive equation used in the derivation is the general Hooke’s law.

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Sun Jan 01 00:00:00 UTC 1989