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Modeling dynamic acousto-elastic testing experiments: validation and perspectives.

A S Gliozzi1, M Scalerandi1

  • 1Department of Applied Science and Technology, Institute of Condensed Matter Physics and Complex Systems, Politecnico di Torino, C.so Duca degli Abruzzi 24, Torino, Italy.

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Nonlinear material responses to pressure are sensitive to confining stress. A hysteretic elastic model explains experimental observations in granular media, predicting memory and nonlinear effects similar to rocks.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Geophysics

Background:

  • Micro-inhomogeneities in materials lead to nonlinear mechanical responses.
  • These nonlinearities are significantly influenced by confining pressure.
  • Dynamic acoustoelastic testing measures elastic modulus changes under dynamic pressure variations.

Purpose of the Study:

  • To explain the nonlinear mechanical response of consolidated granular media.
  • To model hysteretic behavior and memory effects observed in these materials.
  • To compare model predictions with experimental data from rocks.

Main Methods:

  • Utilizing a Preisach-Mayergoyz space based hysteretic multi-state elastic model.
  • Applying dynamic acoustoelastic testing to measure instantaneous elastic modulus variations.
  • Analyzing consolidated granular media under varying confining pressures.

Main Results:

  • The proposed model successfully explains experimental observations in granular media.
  • The model predicts memory and nonlinear effects.
  • Predicted effects are comparable to those measured in rock samples.

Conclusions:

  • Hysteretic multi-state elastic models can accurately describe nonlinear material behavior.
  • Confining pressure plays a crucial role in the mechanical response of inhomogeneous materials.
  • This modeling approach offers insights into the behavior of granular media and rocks.