Nonlinear relaxation in geomaterials: New results

Lev Ostrovsky; A. Lebedev; S. Manakov; J. Riviere; P. Shokouhi; R. Guyer; M. Stuber Geesey; P. Johnson

doi:10.1121/2.0000910

Nonlinear relaxation in geomaterials: New results

Lev Ostrovsky, A. Lebedev, S. Manakov, J. Riviere, P. Shokouhi, R. Guyer, M. Stuber Geesey, P. Johnson

Engineering Science and Mechanics

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

Numerous acoustic experiments demonstrate that in media with a complex structure, such as rock, the elastic response is characterized by (i) a decrease in the material modulus during wave excitation, typically with a hysteresis (fast nonlinear dynamics), and (ii) long-time recovery to the original equilibrium modulus (slow dynamics). Here, a physical model of a granular material with an inter-grain contact potential having one or more metastable wells suggested earlier is significantly developed to include a non-logarithmic stage and the joint action of excitation and recovery. Theoretical results are compared with our experimental data.

Original language	English (US)
Article number	032002
Journal	Proceedings of Meetings on Acoustics
Volume	34
Issue number	1
DOIs	https://doi.org/10.1121/2.0000910
State	Published - 2018
Event	21st International Symposium on Nonlinear Acoustics, ISNA 2018 - Santa Fe, United States Duration: Jul 9 2018 → Jul 13 2018

All Science Journal Classification (ASJC) codes

Acoustics and Ultrasonics

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10.1121/2.0000910

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title = "Nonlinear relaxation in geomaterials: New results",

abstract = "Numerous acoustic experiments demonstrate that in media with a complex structure, such as rock, the elastic response is characterized by (i) a decrease in the material modulus during wave excitation, typically with a hysteresis (fast nonlinear dynamics), and (ii) long-time recovery to the original equilibrium modulus (slow dynamics). Here, a physical model of a granular material with an inter-grain contact potential having one or more metastable wells suggested earlier is significantly developed to include a non-logarithmic stage and the joint action of excitation and recovery. Theoretical results are compared with our experimental data.",

author = "Lev Ostrovsky and A. Lebedev and S. Manakov and J. Riviere and P. Shokouhi and R. Guyer and {Stuber Geesey}, M. and P. Johnson",

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T2 - 21st International Symposium on Nonlinear Acoustics, ISNA 2018

AU - Ostrovsky, Lev

AU - Lebedev, A.

AU - Manakov, S.

AU - Riviere, J.

AU - Shokouhi, P.

AU - Guyer, R.

AU - Stuber Geesey, M.

AU - Johnson, P.

PY - 2018

Y1 - 2018

N2 - Numerous acoustic experiments demonstrate that in media with a complex structure, such as rock, the elastic response is characterized by (i) a decrease in the material modulus during wave excitation, typically with a hysteresis (fast nonlinear dynamics), and (ii) long-time recovery to the original equilibrium modulus (slow dynamics). Here, a physical model of a granular material with an inter-grain contact potential having one or more metastable wells suggested earlier is significantly developed to include a non-logarithmic stage and the joint action of excitation and recovery. Theoretical results are compared with our experimental data.

AB - Numerous acoustic experiments demonstrate that in media with a complex structure, such as rock, the elastic response is characterized by (i) a decrease in the material modulus during wave excitation, typically with a hysteresis (fast nonlinear dynamics), and (ii) long-time recovery to the original equilibrium modulus (slow dynamics). Here, a physical model of a granular material with an inter-grain contact potential having one or more metastable wells suggested earlier is significantly developed to include a non-logarithmic stage and the joint action of excitation and recovery. Theoretical results are compared with our experimental data.

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M3 - Conference article

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JF - Proceedings of Meetings on Acoustics

IS - 1

M1 - 032002

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ER -

Nonlinear relaxation in geomaterials: New results

Abstract

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