2020
DOI: 10.1007/s11204-020-09625-8
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Longitudinal Deformation Wave in a Buried Pipeline Subject to Viscoelastic Interaction with Soil

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Cited by 10 publications
(10 citation statements)
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“…Let us consider the problem of longitudinal vibration of an underground main pipeline under linear viscoelastic interaction at the contact with soil, at three types of fastening [22,25].…”
Section: Statement Of the Problemmentioning
confidence: 99%
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“…Let us consider the problem of longitudinal vibration of an underground main pipeline under linear viscoelastic interaction at the contact with soil, at three types of fastening [22,25].…”
Section: Statement Of the Problemmentioning
confidence: 99%
“…The effect of the coefficients of elasticity, viscosity and plasticity of the pipeline interaction with soil on the stress-strain state of an underground pipeline is studied in detail in [21][22][23][24][25].…”
Section: Introductionmentioning
confidence: 99%
“…By using the integral probability method, Xu et al [28] deduced analytical formulas for the pipeline's deformation and axial stress caused by the friction of pipe and soil, and pipeline's stress and deformation along the mining process were analyzed. On the basis of linear viscoelasticity, Khusainov [11] established a pipe-soil interaction model, and the buried pipeline's dynamic response to a longitudinal wave propagating was analyzed. However, the above analytical models have not considered the axial and circumferential response of the buried pipeline under load impact.…”
Section: Introductionmentioning
confidence: 99%
“…In that study, the problem is solved by the finite difference method in an explicit scheme. Careful numerical calculations are performed to prevent unwanted vibrations near the discontinuity (the deformation wave front) [10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…In [10][11][12][13][14], the effect of the coefficients of elasticity, viscosity, and plasticity of the pipeline contact interaction with soil on the stress-strain state of an underground pipeline is studied in detail. In [5,12], the longitudinal vibration of an underground pipeline with and without inertia forces is compared for an infinite pipeline and a pipeline of finite length with rigid fixing at the ends.…”
Section: Introductionmentioning
confidence: 99%