Numerical modelling of wave propagation in anisotropic soil using a displacement unit-impulse-response-based formulation of the scaled boundary finite element method

Chen, Xiaojun; Birk, Carolin; Song, Chongmin

doi:10.1016/j.soildyn.2014.06.019

Cited by 33 publications

(17 citation statements)

References 22 publications

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“…Singularity at cracks and notches in arbitrarily laminated composites [73] and modeling of composite beams [74] have been recently done with SBFEM. Anisotropic soil is and apparently will be in more and more advanced schemes numerically modeled under wave propagation using this method [75]. Displacement unit impulse response using SBFEM is being applied (e.g.…”

Section: The Scaled-boundary Finite Element Methodsmentioning

confidence: 99%

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2-D soil-structure interaction in time domain by the SBFEM and two non-linear soil models

Rahnema

Mohasseb

JavidSharifi

2016

Soil Dynamics and Earthquake Engineering

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Section: The Scaled-boundary Finite Element Methodsmentioning

confidence: 99%

“…Displacement unit impulse response using SBFEM is being applied (e.g. [74], [75]) to address such problems.…”

Section: The Scaled-boundary Finite Element Methodsmentioning

confidence: 99%

2-D soil-structure interaction in time domain by the SBFEM and two non-linear soil models

Rahnema

Mohasseb

JavidSharifi

2016

Soil Dynamics and Earthquake Engineering

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“…To assess the accuracy of the computed results, we evaluate the L 2 norm of the relative error in displacements with respect to an analytical solution. 7 We study the following three cases: Uniaxial tension We assume a state of uniaxial tension, such that the exact solution of this problem is…”

Section: Static Analyses and Patch Testsmentioning

confidence: 99%

Three-dimensional image-based modeling by combining SBFEM and transfinite element shape functions

2020

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The scaled boundary finite element method (SBFEM) has recently been employed as an efficient tool to model three-dimensional structures, in particular when the geometry is provided as a voxel-based image. To this end, an octree decomposition of the computational domain is deployed, and each cubic cell is treated as an SBFE subdomain. The surfaces of each subdomain are discretized in the finite element sense. We improve on this idea by combining the semi-analytical concept of the SBFEM with a particular class of transition elements on the subdomains’ surfaces. Thus, a triangulation of these surfaces as executed in previous works is avoided, and consequently, the number of surface elements and degrees of freedom is reduced. In addition, these discretizations allow coupling elements of arbitrary order such that local p-refinement can be achieved straightforwardly.

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“…A transversely isotropic, layered half-space is assumed (Fig 1). For a shallow deposit, the dynamic soil parameters are as follows: the shear modulus G xy = 125 MPa, the Young's modulus in the plane of isotropy E x = 3.865G xy , the Young's modulus in the plane perpendicular to the plane of isotropy E y = 2.863G xy , the Poisson ratio ν = 0.301, the mass density of the soil ρ = 2000 kg/m 3 , and the damping coefficient ξ = 1% [27]. For a deeper deposit, G xy = 200 MPa, E x = 3.865G xy , E y = 2.863G xy , ν = 0.301, ρ = 2000 kg/m 3 , and ξ = 1%.…”

Section: Boundary Conditions and Finite Element Modelmentioning

confidence: 99%

Vibration mitigation efficiency of an inclined, curved, open trench

Herbut

2020

PLoS ONE

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The vibration screening efficiency of a curved, inclined, open trench is investigated in this paper. An elastic, transversely isotropic half-space with hysteretic damping, acted upon by a harmonic vertical excitation, is assumed. Equations of motion with absorbing boundary conditions are presented and numerically integrated using FlexPDE software, based on the finite element method. The barrier efficiency is analysed in terms of the reduction of the vertical and horizontal components of the ground surface vibration. The results are presented for trenches with different geometric features based on the non-dimensional amplitude reduction factor. The trench inclination angle, the shape of the trench surface and the distance between the source of vibration and an obstacle are investigated as factors that can improve the trench reduction ability. It is demonstrated that a better attenuation of vibration is achieved with the proposed inclined trench than with its vertical counterpart. Moreover, the vibration mitigation effect is more significant in the case of a more horizontally located trench than for its vertical counterpart (even up to 5 times smaller displacement amplitudes for the vertical displacement component). Additionally, assuming the same trench depth, the vibration reduction effect is better in the case of a smaller number of rings used. The vibration attenuation efficiency is more visible if the trench is located closer to the vibration source.

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Numerical modelling of wave propagation in anisotropic soil using a displacement unit-impulse-response-based formulation of the scaled boundary finite element method

Cited by 33 publications

References 22 publications

2-D soil-structure interaction in time domain by the SBFEM and two non-linear soil models

2-D soil-structure interaction in time domain by the SBFEM and two non-linear soil models

Three-dimensional image-based modeling by combining SBFEM and transfinite element shape functions

Vibration mitigation efficiency of an inclined, curved, open trench

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