Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 6, Pages 32–36 (Mi vmumm191)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics

Application of an asymptotic homogenization method for determining the widening coefficient of a water-saturated porous medium under freezing

S. V. Sheshenina, B. P. Lazarevab, N. B. Artamonovac

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b JSC "NTPI TI"
c Lomonosov Moscow State University, Faculty of Geology
Full-text PDF (337 kB) Citations (2)
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Abstract: The paper presents an asymptotic method for determining the expansion of a porous medium filled with a liquid during its freezing. A closed-form formula for the expansion coefficient is derived in the case of open pores. For enclosed pores, the coefficient is a second-order tensor in general. Its determination requires to solve the so-called local problems in the representative domain. The resulting technique can be used to determine the effective expansion coefficient in the case of freezing water in the soil. The proposed method is demonstrated using model and realistic geological structures.
Key words: porous rock, asymptotic homogenization, thermal expansion tensor, tensor of expansion during freezing, effective elastic moduli.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05887-а
Received: 27.11.2015
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 6, Pages 127–131
DOI: https://doi.org/10.3103/S0027133016060017
Bibliographic databases:
Document Type: Article
UDC: 539.9
Language: Russian
Citation: S. V. Sheshenin, B. P. Lazarev, N. B. Artamonova, “Application of an asymptotic homogenization method for determining the widening coefficient of a water-saturated porous medium under freezing”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 6, 32–36; Moscow University Mechanics Bulletin, 71:6 (2016), 127–131
Citation in format AMSBIB
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