title: Decoupling Nonclassical Nonlinear Behavior of Elastic Wave Types.
abstract: In this Letter, the tensorial nature of the nonequilibrium dynamics in nonlinear mesoscopic elastic materials is evidenced via multimode resonance experiments. In these experiments the dynamic response, including the spatial variations of velocities and strains, is carefully monitored while the sample is vibrated in a purely longitudinal or a purely torsional mode. By analogy with the fact that such experiments can decouple the elements of the linear elastic tensor, we demonstrate that the parameters quantifying the nonequilibrium dynamics of the material differ substantially for a compressional wave and for a shear wave. This result could lead to further understanding of the nonlinear mechanical phenomena that arise in natural systems as well as to the design and engineering of nonlinear acoustic metamaterials.
authors.affiliation: Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
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.|Department of Physics, University of Nevada, Reno, Nevada 89577, USA.
authors.forename: Robert A
authors.initials: RA
authors.lastname: Guyer
authors.affiliation: Laboratoire de Mécanique et d'Acoustique, LMA CNRS UPR 7051, Aix-Marseille Université, 13402 Marseille Cedex 20, France.
authors.forename: Cédric
authors.initials: C
authors.lastname: Payan
authors.affiliation: Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: T J
authors.initials: TJ
authors.lastname: Ulrich