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Inversion of Residual Stress Profiles from Ultrasonic Rayleigh Wave Dispersion Data

: Mora, Pierric; Spies, Martin


Inverse problems 34 (2018), Nr.5, Art. 055001, 15 S.
ISSN: 0266-5611
ISSN: 1361-6420
Fraunhofer IZFP ()
residual stress; rayleigh wave dispersion; ultrasonics; shot-peening; reconstruction algorithm

We investigate theoretically and with synthetic data the performance of several inversion methods to infer a residual stress state from ultrasonic surface wave dispersion data. We show that this particular problem may reveal in relevant materials undesired behaviors for some methods that could be reliably applied to infer other properties. We focus on two methods, one based on a Taylor-expansion, and another one based on a piecewise linear expansion regularized by a singular value decomposition. We explain the instabilities of the Taylorbased method by highlighting singularities in the series of coefficients. At the same time, we show that the other method can successfully provide performances which only weakly depend on the material.