The influence of mathematical modeling on the physical impact in soils

¹ Dagestan State Technical University, 70, Imam Shamil Avenue, 367015, Makhachkala, Russia
² Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, 129337, Moscow, Russia

^* Corresponding author: muradak@mail.ru

Abstract

The behavior of soils in the foundations of buildings and structures, as well as in ground structures and massifs, is formed under the influence of force (surface and volume) and physical (temperature, humidity, etc.) influences. However, if mathematical modeling of force impacts in ground environments can be considered a completely solvable task today, then we consider such a statement premature in relation to physical impacts. The peculiarity of physical impacts is that they can be both the cause of forced deformations and the cause of changes in soil properties. The ground environment with creep properties, which is under both force and physical influences, is considered. The systems of equations of mechanics of a deformable solid for a triaxial stress state and a differential equation of thermal conductivity are used. Within the framework of the model of a linearly deformable continuous isotropic body, mathematical modeling of physical impacts in ground media with creep properties was performed. In a quasi-elastic formulation, a solution is obtained for an unlimited soil massif with a flat surface under the action of a plane -parallel heat flow. In the absence of force influences in a quasielastic medium for deformations from physical influences, we have the usual equations of elasticity theory. The solution obtained for an unlimited soil massif allows the calculation of stresses taking into account creep caused by temperature fluctuations on the surface in it.