Assessing the mechanical responses for anisotropic multi-layered medium under harmonic moving load by Spectral Element Method (SEM)

You, Lihua; Yan, Kezhen; Liu, Nengyuan; Shi, Tingwei; Lv, Songtao

doi:10.1016/j.apm.2018.10.010

Cited by 27 publications

(4 citation statements)

References 28 publications

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“…However, it still takes a long time to compute, and the limitation of storage remains its bottleneck [14]. On the other hand, differential methods like the finite-difference time-domain (FDTD) [15,16], the finite-volume time-domain (FVTD) [17][18][19], the finite element method (FEM) [7,20,21], and the spectral element method (SEM) [22][23][24][25][26][27] can effectively address high-contrast problems but have a limitation, according to which both the source and receiver points must be within the computational domain. This paper introduces a novel approach in which SEM is integrated with the integral method to establish a set of efficient, accurate, and versatile RCS calculation techniques applicable to arbitrary targets in a free space or layered media.…”

Section: Introductionmentioning

confidence: 99%

A Novel Radar Cross-Section Calculation Method Based on the Combination of the Spectral Element Method and the Integral Method

Zhao,

Chen,

Zhuang

et al. 2024

Symmetry

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This article proposes a novel method for calculating radar cross-sections (RCSs) that combines the spectral element method and the integral method, allowing for RCS calculations at any position in a free space or a half-space. This approach replaces the field source with an incident field using the scattered field equation of the spectral element method, enabling the arbitrary placement of the field source without being limited by the computational domain. By applying the superposition theorem and the volume equivalence principle, the scattered field of the objects at any position is obtained through integral equations, eliminating limitations on the computation points imposed by the computational domain. Based on Green’s function’s important role throughout the calculation process and its symmetry properties, the RCS calculation of symmetric models will be more advantageous. Finally, several examples, including symmetry models, are provided to validate both the feasibility and accuracy of this proposed method.

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Section: Introductionmentioning

confidence: 99%

A Novel Radar Cross-Section Calculation Method Based on the Combination of the Spectral Element Method and the Integral Method

Zhao,

Chen,

Zhuang

et al. 2024

Symmetry

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“…In addition, scholars found that road materials (asphalt concrete, base layers, and soil) in the pavement exhibit anisotropic properties due to natural deposition and compaction (Papadopoulos and Santamarina 2016;Al-Qadi et al 2010;Ahmed et al 2013). The anisotropic properties of materials could be approximated as transverse isotropy to simplify the calculation procedures and reveal the influence of anisotropic properties on the responses of asphalt pavement (You et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation Approach for Elastic Transient Responses of Transversely Isotropic Asphalt Pavement under an Impact Load: A Semianalytical Solution

Zhang

Quan

et al. 2021

J. Transp. Eng., Part B: Pavements

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The conventional transfer matrix method, adopted formerly in a semi analytical solution for layered elastic or viscoelastic asphalt pavement system, has inherent deficiencies, such as illcondition matrix, numerical overflow and error accumulation, due to exponential items. This phenomenon is more evident in multilayered dynamic analysis with imperfect interfaces. Moreover, several studies revealed that pavement materials exhibit transverse isotropy in service. Consequently, a novel semi analytical solution methodology, wave propagation approach, was proposed herein to calculate the dynamic responses of asphalt pavement under an impact load considering the transversely isotropic material model and the imperfect interfaces. First, the transfer matrix was established based on matrix theory and wave propagation approach, while the relation between the state vector and wave vector in the transformed domain was constructed simultaneously. Then, combined with the boundary conditions and interface contact conditions, the solution of the wave

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“…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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Assessing the mechanical responses for anisotropic multi-layered medium under harmonic moving load by Spectral Element Method (SEM)

Cited by 27 publications

References 28 publications

A Novel Radar Cross-Section Calculation Method Based on the Combination of the Spectral Element Method and the Integral Method

A Novel Radar Cross-Section Calculation Method Based on the Combination of the Spectral Element Method and the Integral Method

Wave Propagation Approach for Elastic Transient Responses of Transversely Isotropic Asphalt Pavement under an Impact Load: A Semianalytical Solution

Elastodynamic Solutions of a Finite Soil Layer under Interior Distributed Actions

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