Time-domain PML formulation for modeling viscoelastic waves with Rayleigh-type damping in an unbounded domain: Theory and application in ABAQUS
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TLDR
In this paper, a viscoelastic Perfectly Matched Layer (PML) formulation with Rayleigh-type damping for finite-element time-domain analyses is presented.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2018-12-01 and is currently open access. It has received 20 citations till now. The article focuses on the topics: Perfectly matched layer & Damping ratio.read more
Citations
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Viscoelastic models revisited: characteristics and interconversion formulas for generalized Kelvin–Voigt and Maxwell models
TL;DR: In this article, a development of the relationship between generalized Kelvin-Voigt and Maxwell models using Prony series and their respective relaxation and creep coefficients for one and two summations is presented.
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An ABAQUS toolbox for soil-structure interaction analysis
TL;DR: This work implements the so-called Domain Reduction Method (DRM) and Perfectly-Matched-Layers (PMLs) in ABAQUS, by computing and prescribing the effective nodal forces, and through a user-defined element (UEL) subroutine, respectively.
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Efficient time-domain deconvolution of seismic ground motions using the equivalent-linear method for soil-structure interaction analyses
TL;DR: In this article, the phase-amplitude modification procedure is presented to deconvolve both horizontal and vertical target (design) surface ground motions in multi-layered, equivalent-linear viscoelastic media for use in finite element time-domain structural analyses.
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Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
TL;DR: In this paper , a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM), which combines with the viscoelastic model and modified Newmark algorithm to absorb outgoing waves in unbounded domains.
Journal ArticleDOI
Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
TL;DR: In this paper, a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM), which combines with the viscoelastic model and modified Newmark algorithm to absorb outgoing waves in unbounded domains.
References
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A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
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Improved numerical dissipation for time integration algorithms in structural dynamics
TL;DR: In this article, a new family of unconditionally stable one-step methods for the direct integration of the equations of structural dynamics is introduced and is shown to possess improved algorithmic damping properties which can be continuously controlled.
Journal ArticleDOI
Finite Dynamic Model for Infinite Media
John Lysmer,Roger L. Kuhlemeyer +1 more
TL;DR: In this paper, a numerical method for the dynamic analysis of infinite continuous systems is developed, applicable to systems for which all exciting forces and geometrical irregularities are confined to a limited region and is applicable to both transient and steady state problems.
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A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
Weng Cho Chew,W.H. Weedon +1 more
TL;DR: A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates that allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies.
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Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media
J. Alan Roden,Stephen D. Gedney +1 more
TL;DR: A novel implementation of perfectly matched layer (PML) media is presented for the termination of FDTD lattices based on the stretched coordinate form of the PML, a recursive convolution, and the use of complex frequency, shifted (CFS) PML parameters.
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