title: From local to global measurements of nonclassical nonlinear elastic effects in geomaterials.
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.
authors.affiliation: LMA, CNRS, UPR 7051, Aix-Marseille Université, Centrale Marseille, 13402 Marseille, France lott@lma.cnrs-mrs.fr.
authors.forename: Martin
authors.initials: M
authors.lastname: Lott
authors.affiliation: Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA mcr1@lanl.gov, pylb@lanl.gov, tju@lanl.gov.
authors.forename: Marcel C
authors.initials: MC
authors.lastname: Remillieux
authors.affiliation: Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA mcr1@lanl.gov, pylb@lanl.gov, tju@lanl.gov.
authors.forename: Pierre-Yves
authors.initials: PY
authors.lastname: Le Bas
authors.affiliation: Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA mcr1@lanl.gov, pylb@lanl.gov, tju@lanl.gov.
authors.forename: T J
authors.initials: TJ
authors.lastname: Ulrich
authors.affiliation: LMA, CNRS, UPR 7051, Aix-Marseille Université, Centrale Marseille, 13402 Marseille, France vincent.garnier@univ-amu.fr, cedric.payan@univ-amu.fr.
authors.forename: Vincent
authors.initials: V
authors.lastname: Garnier
authors.affiliation: LMA, CNRS, UPR 7051, Aix-Marseille Université, Centrale Marseille, 13402 Marseille, France vincent.garnier@univ-amu.fr, cedric.payan@univ-amu.fr.
authors.forename: Cédric
authors.initials: C
authors.lastname: Payan