On one method for assessing the soil slopes stability

Bakhtiyar, Khusanov; Normatov, Shovkat; Ozodaxon, Khaydarova

doi:10.1063/5.0119155

Cited by 8 publications

(6 citation statements)

References 20 publications

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“…An increase in shear viscosity also leads to a "weak" decrease in the values of stresses and particle velocity. In general, according to the results of calculating problems using models ( 4) and ( 8), as in one-dimensional formulations [1], the results differ slightly, mainly at low values of the velocity of transverse wave propagation or in an increase in the exponent in (10). In other cases, the results are almost the same.…”

Section: The Case Of Friction Of the Kelvin-voigt Typementioning

confidence: 90%

“…As is known, the nature of the occurrence of the Coulomb friction force is such that it reaches its limiting value through a certain relative displacement of two media. A pattern of such a change is given in [1,[10][11] and experimental studies of changes in friction forces [12] led to such conclusions. For underground pipelines interacting with soil, friction forces obey the laws proposed in [1,13].…”

Section: Introductionmentioning

confidence: 88%

“…For 𝜂 =0, the law (8) transforms into the nonlinear Winkler-type friction law considered in (4). From ( 8)-( 9) for 𝑢 ̅=𝑢 ̅ * taking into account (10), we obtain the following relation for the critical value of the relative displacement:…”

Section: The Case Of Friction Of the Kelvin-voigt Typementioning

confidence: 99%

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Wave propagation in a cylindrical body in the presence of surface forces depending on the relative displacement

Rikhsieva,

Khusanov

2023

E3S Web of Conf.

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Studies of wave propagation in extended bodies with external friction have a wide range of applications and are significant for various engineering and scientific fields. They contribute to the development of new technologies, improve the design and construction of structures, and expand our understanding of the physical processes occurring in various materials and media. In this article, axisymmetric two-dimensional problems of the propagation of longitudinal waves in a cylindrical body are numerically solved in the presence of surface friction forces of the Winkler and Kelvin-Voigt types. For the numerical solution, the Wilkins scheme of the finite difference method was used. The influence of friction forces on the wave parameters is revealed. It is determined that the results of the considered problems are between solutions using slippery contact without friction and with friction according to the Coulomb law. A 5-7% deviation of the hypothesis of flat sections is shown, which makes it possible to reduce such a problem to a one-dimensional formulation.

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Section: The Case Of Friction Of the Kelvin-voigt Typementioning

confidence: 90%

Section: Introductionmentioning

confidence: 88%

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Wave propagation in a cylindrical body in the presence of surface forces depending on the relative displacement

Rikhsieva,

Khusanov

2023

E3S Web of Conf.

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“…Indeed, when solving nonhomogeneous problems for domains with complex boundaries and using nonlinear equations of state, the Wilkins-type scheme and its modified options are widely used [20][21]. A wide range of problems was solved by applying these schemes [22][23][24][25][26][27][28]. They were also used to solve problems of destruction under dynamic loads and problems of impact, collision, penetration, and others.…”

Section: Introductionmentioning

confidence: 99%

Accuracy and stability of a finite difference scheme for two-dimensional problems of soil dynamics

Rikhsieva,

Khusanov

2023

E3S Web Conf.

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Problems of numerical methods for calculating hyperbolic systems of equations with several variables are considered topical. At present, for most technical issues, the solution to one-dimensional non-stationary problems can be conducted with sufficient accuracy. It is too early to assert the mass solution of three-dimensional problems. Therefore, the present study is focused on the consideration of the accuracy and stability of the two-dimensional difference method for solving non-stationary dynamic problems. Unlike conventional difference schemes, the M. Wilkins difference scheme, based on the integral definition of partial derivatives, is considered here. The order of approximation error for arbitrary quadrangular cells is shown. Analytical methods are used to determine the accuracy and stability of the difference relations for the linear equations of the dynamics of a deformable rigid body, as applied to the problems of the interaction of rigid bodies with soil.

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“…Stresses decrease with increasing distance from the pile [5]. There are also horizontal stresses in soil around the pile due to lateral resistance, and these stresses can affect nearby structures and soil layers [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Stress state of the half-space of soil under the action of a single pile

Salikhova,

Rikhsieva,

Khusanov

2023

E3S Web Conf.

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Determining the stress state and bearing capacity of piles and soil is an important task in geotechnics. There are experimental and theoretical methods for assessing the stress state and bearing capacity of piles and soil. In this article, using the stress function, the axisymmetric problem of the stress state of an elastic half-space of soil under the action of a single pile is solved. Formulas for stresses in soil are derived and integral estimates of the influence of the pile length on the stress state are conducted. When performing an integral assessment, it was found that when using the analytical method of research, instead of a finite pile, it is quite acceptable to consider an infinite one, the difference will be insignificant. The resulting formulas for calculating the stresses arising in soil make it possible to evaluate the bearing capacity of a pile.

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On one method for assessing the soil slopes stability

Cited by 8 publications

References 20 publications

Wave propagation in a cylindrical body in the presence of surface forces depending on the relative displacement

Wave propagation in a cylindrical body in the presence of surface forces depending on the relative displacement

Accuracy and stability of a finite difference scheme for two-dimensional problems of soil dynamics

Stress state of the half-space of soil under the action of a single pile

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