Nonequilibrium and hysteresis in solids: Disentangling conditioning from nonlinear elasticity

Scalerandi, Marco; Gliozzi, Antonio; Bruno, Caterina Letizia Elisabetta; Antonaci, Paola

doi:10.1103/physrevb.81.104114

Cited by 48 publications

(41 citation statements)

References 33 publications

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“…Depending on the strain amplitude, there exist different regimes in which the variation of the resonance frequency with strain is dominated by classical nonlinearity, slow dynamics, or both [21,22]. These observations have been described theoretically through a number of models derived from 1D theory of elasticity [13,15,[23][24][25]. However, as soon as the geometry of the sample or testing conditions deviate from the 1D assumption, these models are no longer applicable [6,26].…”

Section: Published By the American Physical Society Under The Terms Omentioning

confidence: 99%

“…Additionally, hysteresis and slow dynamics are treated as two independent mechanisms whereas it has been shown that they are strongly related [37]. A number of models have been proposed where such connection between hysteresis and slow dynamics is accounted for [24,25,38,39]. However, these models are also all derived from 1D theory of elasticity.…”

Section: Published By the American Physical Society Under The Terms Omentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Lott

Remillieux

Garnier

et al. 2017

Phys. Rev. Materials

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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.

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Section: Published By the American Physical Society Under The Terms Omentioning

confidence: 99%

Section: Published By the American Physical Society Under The Terms Omentioning

confidence: 99%

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Lott

Remillieux

Garnier

et al. 2017

Phys. Rev. Materials

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“…These findings suggest that the relaxation of the elastic properties after a nonlinear dynamic excitation is the result of the coupled mechanisms of fast and slow hysteretic motions. Therefore, the instantaneous variations of the resonant frequency during the ring down of the sample are a consequence of the attained strain amplitude at every impact, as well as of the past history load [37].…”

Section: Resultsmentioning

confidence: 99%

Dynamic acousto-elastic test using continuous probe wave and transient vibration to investigate material nonlinearity

Eiras

Lott

et al. 2016

Ultrasonics

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“…When increasing the excitation amplitude, the triangle becomes wider and the nonlinearity of the response is larger. Non-equilibrium effects can also be present, but are not considered here (Scalerandi et al, 2010).…”

Section: The Modelmentioning

confidence: 97%

Evolution of damage-induced nonlinearity in proximity of discontinuities in concrete

Antonaci

Bruno

Gliozzi

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tUnderstanding the mechanisms and modalities of damage progression close to discontinuities in solids, such as joints, is of great importance for applications in different fields. The interaction between damage and elasticity causes a nonlinear elastic response of the sample to a stress excitation (e.g. in the ultrasonic frequency range). Extracting physical or mechanical information on the sample properties from recorded ultrasonic signals requires a realistic model and an efficient detection method, as it will be discussed in this paper. We study here the successive phases that concrete samples with discontinuities enter by progressively increase the applied external load. Considerations on the mechanisms of damage progression are derived from experimental data using a Preisach-Mayergoyz space approach, developed in order to capture all the observed behaviors.

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Nonequilibrium and hysteresis in solids: Disentangling conditioning from nonlinear elasticity

Cited by 48 publications

References 33 publications

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Dynamic acousto-elastic test using continuous probe wave and transient vibration to investigate material nonlinearity

Evolution of damage-induced nonlinearity in proximity of discontinuities in concrete

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