Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture

Loukidis, Andronikos; Triantis, Dimos; Stavrakas, Ilias

doi:10.3390/e22101115

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Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture

Andronikos Loukidis

Dimos Triantis

and

Ilias Stavrakas

Electronic Devices and Materials Laboratory, Department of Electrical and Electronics Engineering, University of West Attica, 250 Thivon Avenue, 122 44 Athens, Greece

Author to whom correspondence should be addressed.

Entropy 2020, 22(10), 1115; https://doi.org/10.3390/e22101115

Received: 15 September 2020 / Revised: 26 September 2020 / Accepted: 29 September 2020 / Published: 2 October 2020

(This article belongs to the Special Issue Entropy, Nonlinear Dynamics, and Methods of Complex Systems in Earthquake Physics including Precursory Phenomena II)

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Abstract

Non-extensive statistical mechanics (NESM), which is a generalization of the traditional Boltzmann-Gibbs statistics, constitutes a theoretical and analytical tool for investigating the irreversible damage evolution processes and fracture mechanisms occurring when materials are subjected to mechanical loading. In this study, NESM is used for the analysis of the acoustic emission (AE) events recorded when marble and cement mortar specimens were subjected to mechanical loading until fracture. In total, AE data originating from four distinct loading protocols are presented. The cumulative distribution of inter-event times (time interval between two consecutive AE events) and the inter-event distances (three-dimensional Euclidian distance between the centers of successive AE events) were examined under the above concept and it was found that NESM is suitable to detect criticality under the terms of mechanical status of a material. This was conducted by evaluating the fitting results of the q-exponential function and the corresponding q-indices of Tsallis entropy

q_{δ τ}

and

q_{δ r}

, along with the parameters

τ_{δ τ}

and

d_{δ r}

. Results support that

q_{δ τ} + q_{δ r} \approx 2

for AE data recorded from marble and cement mortar specimens of this work, which is in good agreement with the conjecture previously found in seismological data and AE data recorded from Basalt specimens. View Full-Text

Keywords: non-extensive statistical physics; Tsallis entropy; q-exponential distribution; acoustic emissions; marble; cement

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Loukidis, A.; Triantis, D.; Stavrakas, I. Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture. Entropy 2020, 22, 1115. https://doi.org/10.3390/e22101115

AMA Style

Loukidis A, Triantis D, Stavrakas I. Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture. Entropy. 2020; 22(10):1115. https://doi.org/10.3390/e22101115

Chicago/Turabian Style

Loukidis, Andronikos, Dimos Triantis, and Ilias Stavrakas. 2020. "Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture" Entropy 22, no. 10: 1115. https://doi.org/10.3390/e22101115

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Non-Extensive Statistical Analysis of Acoustic Emissions Recorded in Marble and Cement Mortar Specimens Under Mechanical Load Until Fracture

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