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Mechanical properties estimation of functionally graded materials using surface waves recorded with a laser interferometer
Abstract : An approach is presented here to invert surface wave dispersion and attenuation relative to the depth-
dependence of the visco-elastic parameters of functionally graded materials (FGMs). The particularity of
this method lies in allowing visco-elastic parameters to vary continuously with depth and in properly
incorporating the continuous nature of these variations into both the forward problem (the calculation of
dispersion and attenuation) and the inverse problem (evaluation of visco-elastic parameters). The
forward problem solves the equation of elastic motion using a Runge–Kutta integration scheme, while the
inverse problem is solved with the nonlinear solution for continuous inverse problems developed by
Tarantola and Valette (1982) [32]. Viscoelasticity is treated as a first-order perturbation to the elastic
structure. Testing on a synthetic example shows that the procedure is able to closely reproduce the
S-wave velocity and attenuation profiles. As expected, the variations in P-wave velocity are not resolved,
yet they do not introduce any significant bias into the S-wave velocity profile. The Rayleigh wave phase
velocity and attenuation, measured by laser ultrasonic experiments, are used to infer the depth-
dependence of S-wave velocity and of attenuation on mortar samples. This depth-dependence compares
well with the depth-dependence derived from the sample density inferred from gamma-densitometry.
Littérature citée [50 références]
https://hal-univ-lemans.archives-ouvertes.fr/hal-01871824
Contributeur : Mathieu Chekroun <>
Soumis le : mardi 11 septembre 2018 - 12:45:38
Dernière modification le : vendredi 17 juillet 2020 - 17:08:58
Contributeur : Mathieu Chekroun <>
Soumis le : mardi 11 septembre 2018 - 12:45:38
Dernière modification le : vendredi 17 juillet 2020 - 17:08:58
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LU_ndte2011_accepted.pdf
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