Кафедра "Вища математика" ДІІТ (з 2022 року кафедра увійшла до складу факультету Будівництво, архітектура та інфраструктура)

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http://crust.ust.edu.ua/handle/123456789/675
ENG: Department "Higher Mathematics" DIIT (since 2022, the department moved to the warehouse of the faculty Budіvnitstvo, architecture and infrastructure)

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Browsing Кафедра "Вища математика" ДІІТ (з 2022 року кафедра увійшла до складу факультету Будівництво, архітектура та інфраструктура) by Author "Andrieiev, Volodymyr S."

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    Comparative Analysis of the Parameters of the Strength of the Subgrade at the Transition to the Higher Axial Loading up to 25 t
    (IOP Publishing, Kharkiv, 2019) Radkevych, Anatolii V.; Petrenko, Volodymyr D.; Tiutkin, Oleksii L.; Andrieiev, Volodymyr S.; Mukhina, Nataliya
    ENG: Abstract. A review of the scientific and technical literature on the re-alignment of the route during the transition to high axial load from the accepted today (23.5 t / axis) to the perspective (25 t / axis) shows that in the stage of preliminary researches imitation modeling of the earth web by the finite element method (ITU) as the most convenient, accurate and illustrative of the known numerical methods. In order to provide recommendations on the strength of the subgrade when moving to a higher axial load up to 25 t / axis, an analysis was conducted, the essence of which was to compare the stress-strain state of the subgrade at two loads per axis: 23.5 t / axis (existing ) and 25 (perspective). All the geometric and deformation characteristics of the formation are taken from data on a two-track section with a height of embankment of 3. The deformation characteristics are chosen so that the working material of the formation is in accordance with the average indices of deformation capacity of the railways used. The ITU train load calculus makes it possible to obtain all the factors of VAT in it, which is the main purpose of the study of the strength of the earth cloth, and allows to forecast their development in the future.
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    On the Question of Choosing the Optimal Strength Criterion of Soils and Rocks
    (Kaunas University of Technology, Kaunas, 2021) Shashenko, Oleksandr; Shapoval, Volodymyr S.; Skobenko, O.; Zhylinska, S.; Andrieiev, Volodymyr S.; Markul, Ruslan V.; Mukhina, Nataliya
    ENG: Based on the analysis of solutions to the classical problems of soil mechanics and geomechanics on determining the critical height and angle of the slope, as well as active and passive pressure on the enclosing structures, to identify the optimal strength criteria and the limits of their application, which allow predicting the destruction of ideally free-flowing, ideally plastic rocks, as well as rocks characterized by internal friction and specific cohesion, which is necessary for calculating the strength and stability of underground and open mine workings in the supercritical region - after the destruction of the near-contour region. The areas of application of some criteria for the strength of soils and rocks are outlined and substantiated. It is shown that, in contrast to the known strength criteria of Z.T. Benyavsky, Hoek - Brown and A.N. Shashenko Coulomb - Mohr strength criterion and our proposed modification of the strength criterion of A.N. Shashenko allow predicting the destruction of ideally - free flowing, ideally - plastic rocks, as well as rocks characterized by internal friction and specific cohesion.