Seismodynamics of Underground Pipelines Under Viscous-Elastic-Plastic Interaction with Soil

Khusainov, R. B.; Khusainov, Saparboy; Khusainova, B. B.

doi:10.1007/s11204-023-09849-4

Cited by 5 publications

(6 citation statements)

References 14 publications

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“…The propagation of a stationary plane one-dimensional wave initiated by a load in some section in a linear viscous medium that increases abruptly and then maintains a constant value was considered in [10,11,12]. At that, in all sections of the medium, the stress at the wave propagation by steps or gradually, increases to the same maximum value, and then maintains this value.…”

Section: Statement Of the Problem And Methods Of Its Solutionmentioning

confidence: 99%

“…In [11], the solution to problems of longitudinal vibration of an underground pipeline was considered, taking into account the linear and nonlinear viscous-elastic-plastic interaction in the "pipe-soil" system under the boundary conditions of rigid fixation or free displacement. The patterns of change in displacements and stresses in pipeline sections under seismic impact in the form of a sinusoidal wave running along the pipe axis were determined.…”

Section: Introductionmentioning

confidence: 99%

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Propagation of longitudinal waves in a linear viscoelastic medium

Khamidov,

Loginov,

Akbarov

2023

E3S Web of Conf.

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The article is devoted to the study of longitudinal wave propagation in a viscoelastic medium. A mathematical model of the problem of a linear viscoelastic medium was developed. The solution to the considered problems is reduced to the solution of a system of differential equations solved by the method of characteristics with the appropriate boundary conditions. The results are compared with known results obtained by other authors; a comparison shows the adequacy of the task posed. It was determined that the maximum values of stress, strain, and velocity of particles in viscous media vary according to a non-linear law. In the initial section of the medium and near it, first, the stress reaches its maximum, and then the strain and velocity of particles reach their maximum values.

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Section: Statement Of the Problem And Methods Of Its Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation of longitudinal waves in a linear viscoelastic medium

Khamidov,

Loginov,

Akbarov

2023

E3S Web of Conf.

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“…Under shear interaction of underground pipelines with soil, shear stresses arise at the contact boundary and these stresses propagate in soil. Depending on the nature of the propagating waves, it is possible to determine the soil conditions around the underground pipeline, potential accidents in pipelines, and soil response to other objects in soil [1][2][3][4][5]. Therefore, the study of the problem of wave propagation in soil under interaction with underground pipelines can be considered an urgent task.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the study of the problem of wave propagation in soil under interaction with underground pipelines can be considered an urgent task. The strength and seismic resistance of underground pipelines also largely depend on the stress-strain state of soil and, naturally, on the interaction force that occurs when the pipeline moves relative to soil [4][5][6][7][8][9][10][11]. Therefore, defining the stress state of soil around the underground pipeline is also necessary to assess the strength of the underground pipeline.…”

Section: Introductionmentioning

confidence: 99%

“…The propagation of shear waves in various types of soil was experimentally and theoretically studied in [9][10][11][12][13][14][15][16]. In articles [4][5][16][17], the method of characteristics and finite difference method for elastic and elastic-plastic media were used. The shear interaction of underground pipelines with soil and the wave propagation in soils were studied in [9][10][11]16] in a two-dimensional formulation.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of soil behavior under longitudinal motion of underground pipeline in one-dimensional statement

Rikhsieva

Khusanov

2023

E3S Web Conf.

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The process of shear interaction of an underground pipeline with soil is numerically modeled in a one-dimensional statement. The main attention is paid to the behavior of soil around the pipeline. The deformation characteristics of the pipeline are ignored. A technique for the numerical solution of a one-dimensional problem of soil behavior and shear wave propagation using the finite difference method was developed. The developed method of numerical research made it possible to take into account the nonlinear properties of soil strain and it was tested for elastic and viscoelastic simulation of soils. Numerical results were obtained for the shear wave propagation in elastic and viscoelastic soil under the longitudinal motion of an underground pipeline. The results obtained showed the attenuation of the wave parameters with distance from the cross section of the underground pipeline. The attenuation of waves with distance is justified by the dissipation of the deformation energy on an expanding cylindrical soil layer. In the case of viscoelastic soil, attenuation in time in fixed points of soil is also observed, the maximum shear stresses are reached near the contact surface of the underground pipeline, and in this area, an intensive decrease in the shear stress amplitude is observed.

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Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction

Khusanov¹,

Rikhsieva²,

Salikhova³

2023

E3S Web of Conf.

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The propagation of elastic longitudinal waves in an extended cylindrical body located inside an unstrained body and interacting according to the Coulomb law is considered in the article. The problem is studied in a two-dimensional statement; therefore, the friction force (i.e., the interaction conditions) is included in the system of equations as a boundary condition. The Coulomb friction force arises due to the deformation of a cylindrical body. The reliability of numerical calculations is substantiated by solving test cases and comparing the calculations with experimental results. The numerical results obtained are presented in the form of graphs and analyzed. It is shown that the parameters (stresses and strains) of waves propagating in an elastic cylindrical body with external Coulomb dry friction decay with distance. The mechanism for reducing the stress-strain state and wave parameters is explained by the consumption of elastic energy to overcome the friction force that occurs on the contact surface. The results of the two-dimensional problem are also compared with the results of a similar problem in the one-dimensional theory, where the friction force enters directly into the equations of motion. The deviations of the results of the one-dimensional theory are up to 8-15% depending on the accepted values of the friction coefficient, i.e. the violation of the plane section hypothesis taken in one-dimensional calculations amounts to 15%. With a decrease in the radius of a cylindrical body, these deviations are reduced.

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Seismodynamics of Underground Pipelines Under Viscous-Elastic-Plastic Interaction with Soil

Cited by 5 publications

References 14 publications

Propagation of longitudinal waves in a linear viscoelastic medium

Propagation of longitudinal waves in a linear viscoelastic medium

Simulation of soil behavior under longitudinal motion of underground pipeline in one-dimensional statement

Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction

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