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Registration Number

0215U003161, 0111U002228 , R & D reports

Title

Development of mathematical methods of research of properties of elastic - liquid systems under influence of internal and external factors

Head

Gorodetskaya Natalya Sergeevna,

Registration Date

22-01-2015

Organization

The Institute of Hydromechanics of the National Academy of Sciences of Ukraine

Description

For saturated fluid dynamics problems of soil environment (analysis of wave propagation, modeling the interaction with the foundations of buildings) used a phenomenological model of two-phase medium M. Biot. It is shown that freely penetrate the boundary of an elastic half-porous surface wave Rayleigh type does not exist for all possible parameters of the medium. The energy of such waves is concentrated in the elastic skeleton. On the free boundary impenetrable surface wave is always there. Problems of the dynamics of foundations are considered on the basis of solutions of integral equations of dynamic contact problems a method of orthogonal polynomials, developed for the simultaneous consideration of the reaction the solid and liquid phases, as well as bedding subgrade. For a rectangular stamp analyzed the frequency characteristics of a weightless foundation (hardness and ductility) with pore fluid impermeable sole depending on the permeability of the soil and the size of the foundation. On numerical examples set reliability of the results and the frequency bands in which the need to consider water saturation of bases. For the analysis of landslide processes based on the model of a viscous compressible fluid model is developed porous water-filled viscous medium, taking into account the effect of seepage forces on the skeleton and the effect on the viscosity of water saturation of soil skeleton structures; developed a numerical model of the finite difference method to calculate the slopes and slopes with external loads and load its own weight; shows the effect of seepage forces and water saturation on the slope of ground deformation structures. Began experimental studies of soil samples to determine the rheological properties of the material. The results are used in the preparation of "prevention programs, insurance and improve preparedness for man-made and natural hazards Eastern European region of the EU."

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Білеуш Анатолій Іванович
Городецька Наталія Сергіївна
Островерх Борис Миколайович
Рева Тамара Леонідівна
Савицький Олег Анатолійович
Соболь Тетяна Володимирівна
Старовойт Інна Миколаївна