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Freezing and Thawing of Enclosing Structures and Foundation Soils Taking into Account the Effects of Solar Energy: Part 3. Statement of the Problem (Continued) L&E, Vol.33, No.6, 2025

Light & Engineering 33 (6) 2025

Volume 33
Date of publication 12/11/2025
Pages 68–73

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Freezing and Thawing of Enclosing Structures and Foundation Soils Taking into Account the Effects of Solar Energy: Part 3. Statement of the Problem (Continued) L&E, Vol.33, No.6, 2025
Articles authors:
Alexander M. Ibragimov, Lyubov Yu. Gnedina

Alexander M. Ibragimov, Doctor of Technical Sciences, Professor. Graduated from the Ivanovo Power Engineering Institute in 1981, Faculty of Civil Engineering, specialty – Industrial and Civil Engineering, qualification – Civil Engineer; North-Western Academy of Public Administration under the President of the Russian Federation (1997), specialty – “Jurisprudence”, qualification – lawyer. In 1988, he defended his Ph. D. thesis, and in 2007 – his HDR thesis. Member of the Petrovsky Academy of Sciences and Arts, Full Member of the Russian Society of Civil Engineers, Advisor to the Russian Academy of Architecture and Construction Sciences. Awarded the Certificate of Honour of the Ministry of Education and Science of the Russian Federation. Specializes in the field of the theory of calculation of buildings and structures. The general list of scientific works includes more than 180 titles

Lyubov Yu. Gnedina, Ph. D., Associate Professor. She graduated from the Ivanovo Power Energy Institute in 1981, Faculty of Civil Engineering, specialty – PGS, qualification – Civil Engineer. In 1999, she defended her Ph. D. thesis. At present, she is an Associate Professor at the Department of Architectural and Construction Design and Physics of the Environment, NRU MGSU. Also, she awarded with an honorary diploma of the Ministry of Education and Science of the Russian Federation and her specialization is in the field of thermo-technical calculations of building materials and building structures. The general list of her scientific papers is more than 70 titles

Abstract:
Part 1 provides general information on some physical properties of water, ice and snow, necessary for understanding the considered non-stationary processes of freezing and thawing of enclosing structures of wet foundation soils. Part 2 provides a physical and mathematical formulation of the problem of freezing of wet soil, the Lame and Clapeyron solution, the Stefan solution, a physical and mathematical formulation of the problem of freezing of a strip foundation. The following are considered: a description of the freezing process of a single-layer enclosing structure, taking into account the phase transformations of moisture in the material of the structure according to V.N. Bogoslovsky and the freezing process of an unlimited plate, taking into account the phase transformations of moisture in the material of the structure according to A.V. Lykov, mathematical model of the non-stationary process of heat transfer in wet layered media. Based on the method of small-time intervals, solutions of boundary value problems for the frozen and thawed zone in the region of large and small Fourier numbers are given. The prospects for using the proposed mathematical models to describe freezing processes of enclosing structurs and foundation soils are outlined. Part 3 presents a physical picture of the process of freezing of a wet (thawing of a frozen) foundation consisting of different soil layers under different boundary conditions on the surface, as well as a mathematical model describing this process. Part 3 is a continuation of Part 2.
References:
1. Ibragimov, A., Gnedina, L., Gerasimova, S. Freezing and thawing of enclosing structures and foundation soils taking into account the effects of solar energy: Part 1. Theoretical foundations of freezing wet soils // Light & Engineering, 2024, Vol. 32, # 1, pp. 70–79, https://doi.org/10.33383/2023–069.
2. Ibragimov, A., Gnedina, L., Gerasimova, S. Freezing and thawing of enclosing structures and foundation soils taking into account the effects of solar energy: Part 2. Problem statement // Light & Engineering, 2024, Vol. 32, # 1, pp. 80–91, https://doi.org/10.33383/2023–070.
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