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Detecting cracks from limited wave data

Published on:

8 May 2024

Primary Category:

Numerical Analysis

Paper Authors:

Xiaoxu Xu,

Guanqiu Ma,

Guanghui Hu

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Key Details

Proves one incident wave uniquely determines a piecewise linear crack

Contrast sampling method finds rough crack location

Modified factorization method recovers convex hull from one wave

Newton's iteration further refines crack shape

AI generated summary

Detecting cracks from limited wave data

This paper proposes methods to detect the location and shape of cracks using limited acoustic wave data from just one wave source. A contrast sampling method initially determines a rough crack location. Then a variant factorization technique recovers the crack's convex hull using one plane wave. Newton's method further refines the shape. Numerical results demonstrate effectively detecting cracks from minimal data.

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