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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 1, Pages 153–161
DOI: https://doi.org/10.15372/PMTF20220119 (Mi pmtf20) 		 
Electrical conductivity of fractured materials: Hydrodynamic analogy

L. I. Stefanovich, È. P. Fel'dman

Institute of Physics of Mining Processes, National Academy of Sciences of Ukraine, 49005, Dnepr, Ukraine
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DOI: https://doi.org/10.15372/PMTF20220119
Abstract: The effect of non-conducting extended inclusions (cracks) on the electrical conductivity of a conductive medium at direct current was studied using a two-dimensional model. The additional electrical resistance due to the presence of cracks was calculated using the hydrodynamic analogy between potential flow of an ideal incompressible fluid around solids and electric current flowing around cracks. The dependences of the relative additional electrical resistance of the material on the fracturing coefficient in various limiting cases were determined. Their correctness is confirmed by the results of numerical analysis of the obtained expressions for various fracturing coefficients of the sample for thin and thick samples. The cases of parallel cracks and cracks randomly oriented in different directions were investigated.
Keywords: non-conductive extended inclusions, relative incremental electrical resistance, hydrodynamic analogy, fracturing coefficient.
Received: 21.07.2020
Revised: 08.09.2020
Accepted: 28.09.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 1, Pages 132–138
DOI: https://doi.org/10.1134/S0021894422010199
Bibliographic databases:
Document Type: Article
UDC: 622.831: 622.537.87
Language: Russian
Citation: L. I. Stefanovich, È. P. Fel'dman, “Electrical conductivity of fractured materials: Hydrodynamic analogy”, Prikl. Mekh. Tekh. Fiz., 63:1 (2022), 153–161; J. Appl. Mech. Tech. Phys., 63:1 (2022), 132–138
Citation in format AMSBIB
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\by L.~I.~Stefanovich, \`E.~P.~Fel'dman
\paper Electrical conductivity of fractured materials: Hydrodynamic analogy
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 1
\pages 153--161
\mathnet{http://mi.mathnet.ru/pmtf20}
\crossref{https://doi.org/10.15372/PMTF20220119}
\elib{https://elibrary.ru/item.asp?id=48064248}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 1
\pages 132--138
\crossref{https://doi.org/10.1134/S0021894422010199}
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