Mathematic and computer modeling of cohesion effect forces on spatial deformation processes of soil massif
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Date
2020-01-01
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Publisher
Видавництво Львівської політехніки
Lviv Politechnic Publishing House
Lviv Politechnic Publishing House
Abstract
Стаття присвячена моделюванню та розв’язанню задачi впливу сил зв’язностi на деформацiйнi процеси грунтового масиву. Просторовi деформацiйнi процеси грунтового
масиву описуються компонентами змiщень, нормальних i дотичних деформацiй та напружень. Також поставлена крайова задача включає рiвняння тепло- та масоперенесення в грунтовому масивi. Розглянуто функцiї сил зв’язностi в грунтовому масивi,
що мають лiнiйний, квадратичний та логарифмiчний вигляди. Наведено результати дослiджень у виглядi графiкiв поверхонь змiщень та процентних спiввiдношень
шуканих функцiй. Як показали проведенi чисельнi експерименти, в середньому найбiльший вплив на змiщення мають сили зв’язностi лiнiйного вигляду, а найменший
— логарифiчного.
The article presents the modeling and solving of the deformation processes problem of the soil massif under the forces of cohesion effect. Spatial deformation processes of soil massif are described by the components of displacements, by normal and tangential stresses, and by strains. Also, the corresponding boundary value problem includes the mass and heat transfer equations in a soil massif. The functions of cohesion forces in the soil are considered that have linear, quadratic and logarithmic dependence. The results of the studies are presented in the form of graphs of displacement surfaces as well as in percentage ratios of the corresponding functions. Numerical experiments have shown that on average the forces of linear dependence have the greatest influence on the displacement while the logarithmic dependence provides the least effect.
The article presents the modeling and solving of the deformation processes problem of the soil massif under the forces of cohesion effect. Spatial deformation processes of soil massif are described by the components of displacements, by normal and tangential stresses, and by strains. Also, the corresponding boundary value problem includes the mass and heat transfer equations in a soil massif. The functions of cohesion forces in the soil are considered that have linear, quadratic and logarithmic dependence. The results of the studies are presented in the form of graphs of displacement surfaces as well as in percentage ratios of the corresponding functions. Numerical experiments have shown that on average the forces of linear dependence have the greatest influence on the displacement while the logarithmic dependence provides the least effect.
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Keywords
математичне i комп’ютерне моделювання, грунтовий масив, деформацiйнi процеси, сили зв’язностi, mathematical and computer modeling, soil massif, spatial deformation processes, forces of cohesion
Citation
Vlasyuk A. P. Mathematic and computer modeling of cohesion effect forces on spatial deformation processes of soil massif / Vlasyuk A. P., Zhukovska N. A., Zhukovskyy V. V. // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 7. — No 1. — P. 196–205.