Abstract
The study of deformation processes of soil massifs with free surface under mass and heat transfer is important in the design, construction and operation of buildings. The article presents a mathematical model of the deformation state problem of the soil massif under mass and heat transfer and the present free surface in the three-dimensional case. The basic equations, boundary conditions and conditions of congruence for displacements, strains, stresses, and also additional functions are given. For computer modelling of the set boundary value problem, a software package for the capabilities of the Microsoft Visual Studio 2017 framework for Windows Desktop in the C# programming language was created. It is shown that the presence of a free surface that breaks the area of the investigated soil in the area of water-saturated soil and the area of the soil in its natural state changes the distributions of the displacements of the soil mass in these areas.
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Vlasyuk, A., Zhukovska, N., Zhukovskyy, V., Hesham, R. (2020). Mathematical Modelling of Spatial Deformation Process of Soil Massif with Free Surface. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing IV. CSIT 2019. Advances in Intelligent Systems and Computing, vol 1080. Springer, Cham. https://doi.org/10.1007/978-3-030-33695-0_9
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DOI: https://doi.org/10.1007/978-3-030-33695-0_9
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