Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium

Liu, Hongbo; Dai, Guoliang; Zhou, Fengxi; Mu, Zhanlin

doi:10.1140/epjp/s13360-021-02144-x

Cited by 17 publications

(7 citation statements)

References 25 publications

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“…Bedrock layers I and II are simulated with the use of a single-phase thermoelastic medium. According to the generalized thermoelasticity theory, the fluctuation equation for a single-phase thermoelastic medium was proposed (Liu et al, 2021) as follows…”

Section: Field Fluctuation Equation For Elastic Mediamentioning

confidence: 99%

“…In this paper, based on the fluctuation equation of a single-phase thermoelastic medium established by Liu et al (2021), the corresponding fluctuation equation of a thermoelastic medium is solved in the right-angle coordinate system. The free-field model of the elastic foundation is established, the wave field of the site is analyzed, and the analytical solution of each amplitude coefficient is obtained by combining the wave field function and the corresponding boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Study on seismic ground motion of P-wave incident elastic foundation free field under thermal effect

Yang,

2023

Journal of Theoretical and Applied Mechanics

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This study extends the traditional problem of a seismic response of elastic foundations under isothermal conditions when considering thermal effects. Firstly, a free-field model of the elastic foundation is established under the incidence of plane P -waves. Then, utilizing the principles of wave propagation in a homogeneous and isotropic thermoelastic medium and the principle of Helmholtz vector decomposition, the influence of thermal physical parameters such as thermal conductivity, medium temperature on seismic ground motion of the free--field on elastic foundation is investigated, which provides a reasonable explanation for the ground motion of a site under thermal effects.

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Section: Field Fluctuation Equation For Elastic Mediamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on seismic ground motion of P-wave incident elastic foundation free field under thermal effect

Yang,

2023

Journal of Theoretical and Applied Mechanics

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“…In recent years, with the improvement of mathematics solving ability and engineering precision requirements, basic research on wave propagation in completely saturated soils. In recent years, with the improvement of mathematics solving ability and engineering precision requirements, several researchers, including Lo [19], Lo et al [20], and Liu et al [21][22][23], have implemented works on the bulk and Rayleigh waves propagation in three-phase partially saturated soil. These works concluded that a kind of longitudinal wave (typically named P3 wave) exists in three-phase soil, and the liquid saturation has a significant effect on the bulk and Rayleigh waves.…”

Section: Introductionmentioning

confidence: 99%

Bulk and Rayleigh Waves Propagation in Three-Phase Soil with Flow-Independent Viscosity

et al. 2022

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The flow-independent viscosity of the soil skeleton has significant influence on the elastic wave propagation in soils. This work studied the bulk and Rayleigh waves propagation in three-phase viscoelastic soil by considering the contribution of the flow-independent viscosity from the soil skeleton. Firstly, the viscoelastic dynamic equations of three-phase unsaturated soil are developed with theoretical derivation. Secondly, the explicit characteristic equations of bulk and Rayleigh waves in three-phase viscoelastic soil are yielded theoretically by implementing Helmholtz resolution for the displacement vectors. Finally, the variations of the motion behavior for bulk and Rayleigh waves with physical parameters such as relaxation time, saturation, frequency, and intrinsic permeability are discussed by utilizing calculation examples and parametric analysis. The results reveal that the influence of soil flow-independent viscosity on the wave speed and attenuation coefficient of bulk and Rayleigh waves is significantly related to physical parameters such as saturation, intrinsic permeability, and frequency.

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“…However, it is generally accepted that the unsaturated soil exists in a large number of engineering constructions, in which the soil skeleton is filled with two kinds of fluids, generally water and air. [26][27][28][29][30][31] Capillary pressures and coupling effects among the phases make the physical mechanic characteristics in unsaturated soils distinct from saturated soils and single-phase media. Correspondingly, some researchers [32][33][34] implemented various studies to discuss the dynamic behavior of piles in unsaturated soils under vertical dynamic loads.…”

Section: Introductionmentioning

confidence: 99%

“…employed fluid‐saturated porous media to simulate the physical and mechanical properties of the soil and further investigate the pile‐soil interaction from different perspectives. However, it is generally accepted that the unsaturated soil exists in a large number of engineering constructions, in which the soil skeleton is filled with two kinds of fluids, generally water and air 26–31 . Capillary pressures and coupling effects among the phases make the physical mechanic characteristics in unsaturated soils distinct from saturated soils and single‐phase media.…”

Section: Introductionmentioning

confidence: 99%

Vertical dynamic response of pipe pile embedded in unsaturated soil based on fractional‐order standard linear solid model and Rayleigh‐Love rod model

Liu

Dai

Zhou

et al. 2022

Num Anal Meth Geomechanics

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Considering the flow‐independent viscosity of soil skeleton and the lateral inertia effect of pipe pile, the vertical dynamic behavior of a pipe pile embedded in unsaturated soil is investigated in this work when the pipe pile is subjected to the vertical dynamic loading. In order to model this problem, the fractional‐order standard linear solid (FSLS) model is introduced to characterize the flow‐independent viscosity of the soil skeleton, the Rayleigh‐Love rod model is employed to specify the lateral inertia effect of pipe pile, while both vertical and radial soil displacement are entirely considered. The analytical solution of the pipe pile complex impedance is obtained through the rigorous theoretical derivation. Numerical results with known analytical solution are finally presented to discuss the influence of the model parameters for the FSLS model, lateral inertia effect and geometrical characteristic for the pipe pile, and saturation degree and intrinsic permeability for the unsaturated soil on the vertical complex impedance of the pipe pile. The main results indicate that enlarging the fractional‐order index, raising the strain relaxation time, or shortening the stress relaxation time will reduce the oscillation amplitude and natural frequency for the dynamic stiffness and damping of the pipe pile but will improve their mean value. The lateral inertia effect of pipe pile has effect on its complex impedance only in the high‐frequency region. The outer and inner radii of pipe pile, pile length, soil saturation degree, and soil intrinsic permeability are highly correlated with the pipe pile complex impedance.

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Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium

Cited by 17 publications

References 25 publications

Study on seismic ground motion of P-wave incident elastic foundation free field under thermal effect

Study on seismic ground motion of P-wave incident elastic foundation free field under thermal effect

Bulk and Rayleigh Waves Propagation in Three-Phase Soil with Flow-Independent Viscosity

Vertical dynamic response of pipe pile embedded in unsaturated soil based on fractional‐order standard linear solid model and Rayleigh‐Love rod model

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