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

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