Dynamic response of road pavement resting on a layered poroelastic half‐space to a moving traffic load

Fang, Xue-Qian; Yang, Shaopu; Liu, Jinxi; Zhang, Xiaosong

doi:10.1002/nag.2206

Cited by 21 publications

(4 citation statements)

References 17 publications

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“…In which E, and v p are the elastic modulus and Poison's ratio of the plate, respectively. For each layer of the poroelastic layered half-space [30],…”

Section: Formulation and Statement Of The Problemmentioning

confidence: 99%

The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interface to a moving load

et al. 2021

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The present study deals with the dynamic responses of an infinite plate resting on a poroelastic layered half-space soil medium with imperfect interfaces to a moving load. Kirchhoff thin plate theory is employed to analyze the plate, while Biot's fully dynamic poroelastic theory is used to characterize the poroelastic half-space. Applying the Fourier transform and vector functions, the completely coupled system of equations of motion for the layered system are reduced to a system of decoupled ordinary differential equations which could be solved semianalytically. The propagation relationships for the layered structure with imperfect interfaces are derived by the novel and efficient dual variable and position (DVP) method. In so doing, the calculated expansion coefficients in the transformed domain are utilized to calculate the unknowns in the physical domain by integration at each field point. Numerical analyses validate the obtained results by comparing with the existing work, and soil vertical displacements, accelerations and pore water pressures induced by moving load are calculated. Moreover, the effects of the different factors are investigated. Computed result shows apparent influences of load velocity, intrinsic permeability and imperfect bonded condition of the soil medium on the dynamic responses of the whole system.

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“…In which E, and v p are the elastic modulus and Poison's ratio of the plate, respectively. For each layer of the poroelastic layered half-space [30],…”

Section: Formulation and Statement Of The Problemmentioning

confidence: 99%

The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interface to a moving load

et al. 2021

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“…Therefore, it is more reasonable to regard the subgrade as layered transversely isotropic media than springs (Winkler model) or a homogeneous medium (half-space model). A large number of scholars have studied the dynamic behaviours of layered media subjected to moving loads and provided a series of methods, [29][30][31][32][33][34][35][36][37][38] such as Green's function method, 29 the finite layer method, 30 the spectral element method (SEM), 31 the transmission and reflection matrices (TRM) method, 32 the stiffness matrix method (SMM), [33][34][35] the analytical layer-element method (ALEM), 36 and the extended precise integration method (PIM). 37,38 References [35][36][37][38] also addressed the transverse isotropy of subgrades.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Wang

et al. 2023

Num Anal Meth Geomechanics

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This paper aims to investigate the dynamic behaviour of continuously reinforced concrete pavement (CRCP) on a multi‐layered transversely isotropic saturated subgrade subjected to a moving load. The stress‐strain relationship of the CRCP is obtained based on classic lamination theory. Then, the differential governing equations of the pavement are established by D'Alembert's principle. Combining the Fourier series expansion and integral transform technique, the displacements of the CRCP in the wavenumber domain are derived. By introducing pavement‐subgrade interface conditions, the solution to the pavement‐subgrade system is acquired with the use of the extended precise integration method (PIM). The solution in the spatial domain is further obtained by the numerical inverse transform. The presented method and the corresponding program are verified. Finally, parametric studies are conducted to determine the effects of the reinforcement ratio and position, the load velocity and the subgrade stiffness.

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“…The early works inclined to define the subgrade as the Winkler foundation 34,35 or the viscoelastic elemental model. 32,36 Recently, the poroelastic continuum assumption prevails and was applied on the subgrade from 2D isotropic condition 37,38 to 3D isotropic condition 39 and to 3D transversely isotropic condition. 40 However, there is still a lack of the research that considers the unsaturated characteristics of subgrade induced by rainfall, infiltration, and evaporation, much less the stratification and the transverse isotropy of the subgrade soil, which is exactly one of our interests in this work.…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic analyses of transversely isotropic unsaturated subgrade–pavement system under moving loads

2022

Num Anal Meth Geomechanics

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In this paper, elastodynamic responses of the layered transversely isotropic unsaturated subgrade–pavement system subjected to the moving load are investigated. The unsaturated subgrade soil is described via a triphasic Biot‐type model introducing the effect of matric suction, immiscible flows of water and air, and transverse isotropy. The rigid pavement is modeled by the Kirchhoff plate theory, while the flexible pavement is modeled by the stratification medium theory. First, the governing equations of the unsaturated subgrade soil are obtained after algebraical manipulations. The precise integration method (PIM) is further combined with the double Fourier transform to solve the governing equations. The subgrade soil solution is utilized as the flexible coefficient to describe the plate–soil interaction, and the solution of the pavement is further acquired via the double inverse Fourier transform. Four verification examples regarding literatures and COMSOL are presented to verify the correctness of the theory. Finally, numerical examples are conducted to investigate the effect of various parameters on the dynamic behavior of the unsaturated subgrade–pavement system.

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Dynamic response of road pavement resting on a layered poroelastic half‐space to a moving traffic load

Cited by 21 publications

References 17 publications

The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interface to a moving load

The dynamic responses of an infinite plate resting on a poroelastic layered half‐space soil medium with imperfect interface to a moving load

Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Elastodynamic analyses of transversely isotropic unsaturated subgrade–pavement system under moving loads

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