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  4. Mathematic and computer modeling of cohesion effect forces on spatial deformation processes of soil massif

Mathematic and computer modeling of cohesion effect forces on spatial deformation processes of soil massif

MMC.
2020;
Volume 7, Number 1
: pp. 196–205
https://doi.org/10.23939/mmc2020.01.196
Received: February 20, 2020
Revised: May 18, 2020
Accepted: May 20, 2020

Mathematical Modeling and Computing, Vol. 7, No. 1, pp. 196–205 (2020)

Authors:
  1. A. P. Vlasyuk
  2. N. A. Zhukovska
  3. V. V. Zhukovskyy
1
The National University of Ostroh Academy
2
The National University of Water and Environmental Engineering
3
The National University of Water and Environmental Engineering

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.

mathematical and computer modeling
soil massif
spatial deformation processes
forces of cohesion
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