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Predicting fracture of mortar beams under three-point bending using non-extensive statistical modeling of electric emissions

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  • Stergiopoulos, Ch.
  • Stavrakas, I.
  • Triantis, D.
  • Vallianatos, F.
  • Stonham, J.

Abstract

Weak electric signals termed as “Pressure Stimulated Currents, PSC” are generated and detected while cement based materials are found under mechanical load, related to the creation of cracks and the consequent evolution of cracks’ network in the bulk of the specimen. During the experiment a set of cement mortar beams of rectangular cross-section were subjected to Three-Point Bending (3PB). For each one of the specimens an abrupt mechanical load step was applied, increased from the low load level (Lo) to a high final value (Lh), where Lh was different for each specimen and it was maintained constant for long time. The temporal behavior of the recorded PSC show that during the load increase a spike-like PSC emission was recorded and consequently a relaxation of the PSC, after reaching its final value, follows. The relaxation process of the PSC was studied using non-extensive statistical physics (NESP) based on Tsallis entropy equation. The behavior of the Tsallis q parameter was studied in relaxation PSCs in order to investigate its potential use as an index for monitoring the crack evolution process with a potential use in non-destructive laboratory testing of cement-based specimens of unknown internal damage level.

Suggested Citation

  • Stergiopoulos, Ch. & Stavrakas, I. & Triantis, D. & Vallianatos, F. & Stonham, J., 2015. "Predicting fracture of mortar beams under three-point bending using non-extensive statistical modeling of electric emissions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 603-611.
    • Handle: RePEc:eee:phsmap:v:419:y:2015:i:c:p:603-611
    DOI: 10.1016/j.physa.2014.10.060
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    References listed on IDEAS

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    1. Telesca, Luciano, 2010. "Nonextensive analysis of seismic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1911-1914.
    2. Christopoulos, S.-R.G. & Sarlis, N.V., 2014. "q-exponential relaxation of the expected avalanche size in the coherent noise model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 216-225.
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    Cited by:

    1. Dexing Li & Enyuan Wang & Jianhua Yue & Manman Li & Li Li & Dongming Wang & Wei Liang, 2023. "Characteristics of Pressure Stimulated Current and Damage Evolution of Granite under Progressive Uniaxial Loading," Sustainability, MDPI, vol. 15(19), pages 1-18, October.
    2. Dexing Li & Enyuan Wang & Dianqi Jin & Dongming Wang & Wei Liang, 2023. "Response Characteristics of Weak Current Stimulated from Coal under an Impact Load and Its Generation Mechanism," Sustainability, MDPI, vol. 15(3), pages 1-15, February.
    3. Loukidis, Andronikos & Perez-Oregon, Jennifer & Pasiou, Ermioni D. & Sarlis, Nicholas V. & Triantis, Dimos, 2021. "Similarity of fluctuations in critical systems: Acoustic emissions observed before fracture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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