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Updated: Mar 10, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
From local to global measurements of nonclassical nonlinear elastic effects in geomaterials
Martin Lott1, Marcel C Remillieux2, Pierre-Yves Le Bas2
1LMA, CNRS, UPR 7051, Aix-Marseille Université, Centrale Marseille, 13402 Marseille, France lott@lma.cnrs-mrs.fr.
Abstract:
In this letter, the equivalence between local and global measures of nonclassical nonlinear elasticity is established in a slender resonant bar. Nonlinear effects are first measured globally using nonlinear resonance ultrasound spectroscopy (NRUS), which monitors the relative shift of the resonance frequency as a function of the maximum dynamic strain in the sample. Subsequently, nonlinear effects are measured locally at various positions along the sample using dynamic acousto elasticity testing (DAET). After correcting analytically the DAET data for three-dimensional strain effects and integrating numerically these corrected data along the length of the sample, the NRUS global measures are retrieved almost exactly.
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