Dynamic analysis of a poroelastic half-plane soil medium under moving loads

Theodorakopoulos, D.D.

doi:10.1016/s0267-7261(03)00074-5

Cited by 121 publications

(64 citation statements)

References 32 publications

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“…For example, the responses of a poroelastic half-space subjected to a moving load under the plane strain condition were studied by Burke and Kingsbury [11], Siddharthan et al [12], Theodorakopoulos [13], Theodorakopoulos et al [14] and Jin et al [15] . The three-dimensional steady-state responses of a fully saturated poroelastic half-space subjected to a moving rectangular load was investigated by Cai et al [16].…”

Section: H Sun Y Cai and C Xumentioning

confidence: 99%

Three‐dimensional steady‐state response of a railway system on layered half‐space soil medium subjected to a moving train

Sun

Cai

2008

Num Anal Meth Geomechanics

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SUMMARYThe paper presents a three-dimensional study on the steady-state response of a track system and layered half-space soil medium subjected to the load induced by the passages of a moving train with the substructure method. Practically, due to the ground water table being several meters beneath the ground surface, the soil profile can be divided into two layers: the upper layer modeled by an elastic medium and the lower layer by a fully saturated poroelastic medium governed by Biot's theory. In the meanwhile, the rails are regarded as an infinitely long Euler beam, and the sleepers are represented by a continuous mass. The effect of the ballast is accounted for by introducing the Cosserat model for granular medium, and the train is described by a series of moving axle point loads, depending on the geometry of the train. The influences of the thickness, the mass and the rigidity of the elastic layer and the mass of the ballast on rail's displacement responses are carefully investigated. Numerical results show that the influences of these parameters are significant for high train velocity, while vanishes for low velocity.

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Section: H Sun Y Cai and C Xumentioning

confidence: 99%

Three‐dimensional steady‐state response of a railway system on layered half‐space soil medium subjected to a moving train

Sun

Cai

2008

Num Anal Meth Geomechanics

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“…Also in our approach, the ground is modelled as an isotropic and homogeneous linear elastic medium with a material dissipation by means of a hysteretic damping hypothesis. To consider the real behaviour of the soil, this model can be improved and for example, the effect of fully saturated poroelastic soil taking into account soil porosity and permeability, could be studied as in [37] and [38] to give a better definition of the organic peat layer. In the same outline, we could study the influence of seasonal variations of the ground water table on rail traffic-induced vibrations, in the same way as [39] for the passage of heavy trucks on a uneven surface.…”

Section: Further Developmentsmentioning

confidence: 99%

Diagnosis and prediction of vibration from railway trains

Picoux¹,

Houédec

2005

Soil Dynamics and Earthquake Engineering

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In the North West of France, more particularly in the region of the Somme Bay, where the ground is constituted mainly of peat, observation of the surface of the soil near railway tracks has revealed high levels of displacement. This paper, contains a prediction model and diagnosis of vibration near the track. A model of a railway track on layered ground subjected to a moving train has been built and the calculation method uses Fourier transform formalism for a semi-analytical solution in the wave number domain. It includes all elements of the track and allows a parametric analysis of its different elements and evaluation of vertical displacement according to the speed, weight and composition of each train. The diagnosis has been performed with in situ measurements and with the aim of the validation of the model. A parameter study of the ground undertaken by seismic measurements shows a critical speed close to 100 m/s while the studied trains are moving with subRayleigh speeds. Measurements give us a lot of information about lateral and vertical acceleration on the soil's surface and parts of the track. For high speeds and freight trains, displacement reaches more than 10 mm.

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“…For a linear system, an arbitrary function ( , , ) can be expressed as the sum of a series of linear harmonic functions [28], which can be written as…”

Section: General Solution Of the Dynamic Governing Equationmentioning

confidence: 99%

Research on Predicting the Rutting of Asphalt Pavement Based on a Simplified Burgers Creep Model

Lian-sheng

Dan

Chen

2017

Mathematical Problems in Engineering

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Rutting is one of the most important distresses for asphalt pavement structures especially due to the heavy traffic loadings. In this paper, the solution of Burgers model is employed and simplified, which makes the residual strain only depend on the applied load. Then, the governing equation for dynamic response of pavement was established and a semianalytical solution related to the stress state of asphalt pavement was obtained. Further, an explicit expression was presented and validated to calculate rutting depth of asphalt pavement through incorporating the dynamic stress solution, simplified Burgers model solution, and time hardening model. Compared with the FEM method, the calculation error is less than 5%, which proved the method proposed to be feasible. Compared with the numerical simulation method, every derivation of the rutting formula in this paper has the clear physical meaning and is hence easy to be understood. Besides, the proposed method can save a significant amount of time consumed due to its fast and reliable calculation.

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Dynamic analysis of a poroelastic half-plane soil medium under moving loads

Cited by 121 publications

References 32 publications

Three‐dimensional steady‐state response of a railway system on layered half‐space soil medium subjected to a moving train

Three‐dimensional steady‐state response of a railway system on layered half‐space soil medium subjected to a moving train

Diagnosis and prediction of vibration from railway trains

Research on Predicting the Rutting of Asphalt Pavement Based on a Simplified Burgers Creep Model

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