skip to main content


Title: Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Here we study theoretically and experimentally the mechanisms of nonlinear and nonequilibrium dynamics in geomaterials through dynamic acoustoelasticity testing. In the proposed theoretical formulation, the classical theory of nonlinear elasticity is extended to include the effects of conditioning. This formulation is adapted to the context of dynamic acoustoelasticity testing in which a low-frequency “pump” wave induces a strain field in the sample and modulates the propagation of a high-frequency “probe” wave. Experiments are conducted to validate the formulation in a long thin bar of Berea sandstone. Several configurations of the pump and probe are examined: the pump successively consists of the first longitudinal and first torsional mode of vibration of the sample while the probe is successively based on (pressure) $P$ and (shear) $S$ waves. The theoretical predictions reproduce many features of the elastic response observed experimentally, in particular, the coupling between nonlinear and nonequilibrium dynamics and the three-dimensional effects resulting from the tensorial nature of elasticity.
 [1] ; ORCiD logo [2] ;  [1] ;  [2] ;  [2] ;  [1]
  1. Centre National de la Recherche Scientifique (CNRS), Marseille (France). Laboratoire de Mecanique et d'Acoustique (LMA)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
Journal ID: ISSN 2475-9953; TRN: US1703288
Grant/Contract Number:
AC52-06NA25396; ANR-11 RSNR 0009
Published Article
Journal Name:
Physical Review Materials
Additional Journal Information:
Journal Volume: 1; Journal Issue: 2; Journal ID: ISSN 2475-9953
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Fossil Energy (FE); French National Research Agency (ANR)
Country of Publication:
United States
58 GEOSCIENCES; Nonlinear Elasticity, Dynamic Acousto-Elasticity, Geomaterials, Rocks, Hyperelasticity, Slow Dynamics
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1407887