Viscowave – a new solution for viscoelastic wave propagation of layered structures subjected to an impact load

Lee, Hyung Suk

doi:10.1080/10298436.2013.782401

Cited by 45 publications

(24 citation statements)

References 18 publications

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“…For simulating the pavement response, the investigation uses the time-domain based viscoelastic solver ViscoWave II-M, developed at Michigan State University ( 21 , 22 ). ViscoWave II-M employs the so-called spectral element method to solve the wave propagation problem in the pavement structure and calculate the pavement response to an arbitrary loading.…”

Section: Model Calculation Of Pavement Responsementioning

confidence: 99%

Method for Direct Measurement of Structural Rolling Resistance for Heavy Vehicles

Nielsen

Chatti

Nielsen³

et al. 2020

Transportation Research Record

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In this paper, a new in situ method for determining the structural rolling resistance (SRR), defined as the dissipated energy caused by deformation of the pavement when subjected to a moving load, is presented. The method is based on the relation between SRR and the slope of the deflection basin under a moving load. Using the Traffic Speed Deflectometer, the deflection slope is measured at several positions behind and in front of the right rear-end tire pair of a full-size truck trailer while driving under realistic conditions. The deflection slope directly under the tire is estimated from a linear interpolation between the two nearest sensors. A set of data from a test road segment located in Denmark is analyzed and the SRR coefficients are found to be in the range 0.005% to 0.05%. The deflection slope measurements have a high reproducibility (repeated measurements agree within standard deviations of 4% to 10%) with high spatial resolution, and the method for calculating SRR from these measurements has the clear advantage that it requires no knowledge or model of the pavement structure or viscoelastic properties. Numerical simulations of pavement response show that the proposed interpolation method tends to underestimate the actual SRR, and better estimates can be obtained by other interpolation schemes.

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Section: Model Calculation Of Pavement Responsementioning

confidence: 99%

Method for Direct Measurement of Structural Rolling Resistance for Heavy Vehicles

Nielsen

Chatti

Nielsen³

et al. 2020

Transportation Research Record

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“…Next integral transformations are introduced to solve equation (8). First, by a Fourier expansion with respect to θ, these potential functions can be written as…”

Section: Statement Of Problem and Its Solutionsmentioning

confidence: 99%

“…e research began with the surface load cases involving either point, line, or patch loads, which characterize certain kinds of spatial symmetry and simplification. For instance, Lee [8], Yan et al [9], Jones [10], Liu and Pan [11], Andersen et al [12], and You et al [13] studied the dynamic response problems of single-phase elastic layered half-spaces subjected to vertical surface loads. Paul [14,15], Halpern and Christiano [16], Puswewala and Rajapakse [17], Senjuntichai and Rajapakse [18], Jin and Liu [19], and Feng et al [20] investigated the axisymmetric responses of poroelastic halfspaces under vertical or radial ring surface loads.…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic Solutions of a Finite Soil Layer under Interior Distributed Actions

Zhang

Zhan

2021

Shock and Vibration

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Through a method of displacement potentials, Fourier series, and Hankel integral transformation, the generalized solutions of an elastic layer resting on a rigid base under arbitrary, distributed, buried, and time-harmonic loads are developed in this study. With the proposed solution, the specific results for two kinds of uniform distributions as a kind of fundamental solutions in the interaction analysis of media and inclusions by the method of boundary integral equations are included as illustrations. Finally, numerical examples involving surface and buried patch loads are presented to validate the solutions and examine the effects of the thickness of the elastic layer. The results show that the proposed solution can cover the classical half-space solution by taking enough large thickness of the elastic layer (e.g., the ratio of the layer thickness beneath the load to the load radius ≥ 50 ) and the surface load solution by setting the load depth to zero; the underlying rigid base has significant and complex influence on the dynamic response of the thin layer due to wave reflections, which needs to be considered in the design and practice of related engineering.

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“…Chabot et al developed the Visco-Route 2.0 software based on Duhamel's semianalytical multilayer model to calculate pavement responses under moving load within rectangular or elliptic contact area [21]. Lee developed ViscoWave based on the Laplace and Hankel transform to solve viscoelastic pavement responses under impulsive loading [22]. On the other hand, Eslaminia and Guddati developed the Fourier finite element (FFE) method to solve pavement problems from elastic domain to viscoelastic domain with Prony series as representation of viscoelastic material [23].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Viscoelastic Pavement Responses under Moving Load and Nonuniform Tire Contact Stresses Using 2.5-D Finite Element Method

Wang

Zhao

et al. 2020

Mathematical Problems in Engineering

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This study developed two-and-half dimensional (2.5-D) finite element method (FEM) to predict viscoelastic pavement responses under moving loads and nonuniform tire contact stresses. The accuracy of 2.5-D FEM was validated with two analytical solutions for elastic and viscoelastic conditions. Compared to three-dimensional (3-D) FEM, the computational efficiency of the 2.5-D method was greatly improved. The effects of loading pattern and speed on pavement surface deflection and strain responses were analyzed for asphalt pavements with four different asphalt layer thicknesses. The analyzed pavement responses included surface deflections, maximum tensile strains in the asphalt layer, and maximum compressive strains on top of subgrade. The loading patterns have influence on the mechanical responses. According to the equivalent rule, the point load, rectangle type, and sinusoid-shape contact stresses were studied. It was found that the point load caused much greater pavement responses than that of the area-based loading. When the tire loading was simplified as uniform contact stress in rectangular area, the maximum tensile strains in the asphalt layer varied with the width/length ratio of contact area. Additionally, it was shown that the dynamic responses of pavement structure induced by the sinusoid-shape contact stresses and realistic nonuniform stresses were quite similar to each other in all the cases. The pavement strain responses decreased as the speed increased due to viscoelastic behavior of asphalt layer. The study results indicate that asphalt pavement responses under moving load can be calculated using the proposed 2.5-D FEM in a fast manner for mechanistic-empirical pavement design and analysis.

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Viscowave – a new solution for viscoelastic wave propagation of layered structures subjected to an impact load

Cited by 45 publications

References 18 publications

Method for Direct Measurement of Structural Rolling Resistance for Heavy Vehicles

Method for Direct Measurement of Structural Rolling Resistance for Heavy Vehicles

Elastodynamic Solutions of a Finite Soil Layer under Interior Distributed Actions

Prediction of Viscoelastic Pavement Responses under Moving Load and Nonuniform Tire Contact Stresses Using 2.5-D Finite Element Method

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