Numerical modeling of three-dimensional open elastic waveguides combining semi-analytical finite element and perfectly matched layer methods

Nguyen, Khac-Long; Treyssède, Fabien; Hazard, Christophe

doi:10.1016/j.jsv.2014.12.032

Cited by 56 publications

(77 citation statements)

References 44 publications

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“…There have been many prior researches that used dispersive behavior of elastic waves for non-destructive evaluation (NDE) of various structural elements [11][12][13][14][15]. The IE test is an NDE method that uses dispersion of transient elastic waves for evaluation delamination defects in plate-like concrete structures.…”

Section: Theoretical Background Of Iementioning

confidence: 99%

Evaluation of Delamination in Concrete by IE Testing Using Multi-Channel Elastic Wave Data

Kee

Lee

Candelaria

2019

Sensors

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The main objectives of this study are to develop a non-destructive test method for evaluating delamination defects in concrete by the Impact-echo test using multi-channel elastic wave data and to verify the validity of the proposed method by experimental studies in the laboratory. First, prototype equipment using an eight-channel linear sensor array was developed to perform elastic wave measurements on the surface of the concrete. In this study, three concrete slab specimens (1500 mm (width) by 1500 mm (length) by 300 mm (thickness)), with simulated delamination defects of various lateral dimensions and depth, were designed and constructed in the laboratory. Multi-channel elastic wave signals measured on the three concrete specimens were converted to the frequency-phase velocity image by using the phase-shift method. A data processing method was proposed to extract the dominant propagating waves and non-propagating waves from the dispersion images. The dominant wave modes were used to evaluate delamination defects in concrete. It was demonstrated that the surface wave velocity values were useful for characterizing the shallow delamination defects in concrete. In addition, the peak frequency of non-propagating wave modes extracted from the dispersion images gives information on the lateral dimensions and depths of the delamination defects. This study also discussed the feasibility of combined use of the results from propagating and non-propagating wave modes to better understand the information on delamination defects in concrete. As will be discussed, the multi-channel elastic wave measurements enable more accurate, consistent, and rapid measurements and data processing for evaluation of delamination defects in concrete than the single-channel sensing method.

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Section: Theoretical Background Of Iementioning

confidence: 99%

Evaluation of Delamination in Concrete by IE Testing Using Multi-Channel Elastic Wave Data

Kee

Lee

Candelaria

2019

Sensors

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“…The choice of boundary condition on the outer surface of the PML layer is arbitrary because a PML damps down outward propagating waves 7 . Therefore, it is convenient to choose a traction free boundary condition to close the outer surface of the PML at

r = b_{m}

, as this permits a simplification of the equations that follow.…”

Section: Theorymentioning

confidence: 99%

“…That is, the energy radiated outward from the pipe into the surrounding elastic medium is not reflected back toward the pipe. In general FE formulations the application of this non-reflecting boundary condition requires a numerical approximation to be developed and common methods include absorbing layers, 6 or the popular perfectly matched layers (PMLs) 7 . However, this means that a PML must surround the entire length of the pipe, and clearly this would significantly increase the degrees of freedom required to study this problem.…”

Section: Introductionmentioning

confidence: 99%

“…Castaings and Lowe used an artificial absorbing layer to represent the surrounding medium, and the properties of this layer are chosen to enforce of the radial boundary condition at infinity. However, absorbing layers have been shown to be relatively inefficient for this type of problem and more efficient approaches have recently been developed using PMLs 7 . For example Nguyen et al 7 introduced a two dimensional PML to extract eigenmodes for a structure of arbitrary cross-section, and Treyssède 14 further improved the efficiency of the method by using spectral elements.…”

Section: Introductionmentioning

confidence: 99%

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On the scattering of torsional waves from axisymmetric defects in buried pipelines

Duan

Kirby

Mudge

2017

The Journal of the Acoustical Society of America

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This article develops a numerical model suitable for analysing elastic wave scattering in buried pipelines. The model is based on a previous so-called hybrid approach, where a nominally infinite length of pipe is split up into uniform and non-uniform regions. The key challenge for buried structures is in enforcing the appropriate boundary conditions in both the axial and radial directions, which must encompass the entire length of the structure, as well as the surrounding material. Accordingly, the focus of this article is on developing a model suitable for accurately applying these boundary conditions, and so the analysis is restricted here to the study of axisymmetric defects and to an incident sound field that consists of the fundamental torsional mode only. It is shown that this problem may be addressed in a numerically efficient way provided one carefully choses a perfectly matched layer for the surrounding material, and then integrates over this layer using a complex co-ordinate stretching function. This enables the use of mode matching to deliver a convergent system of equations that enforce the appropriate axial and radial boundary conditions.

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“…In this case, SAFE can be used to model the inner layers of the waveguide, and the SAFE model is then coupled to other boundary models of the infinite surrounding layer, such as the perfectly matched layer (PML) method [21][22][23], the boundary element method (BEM) [24], the infinite element method [25], or the absorbing layer method [26]. In addition to SAFE, other numerical techniques are available for calculating the eigenmodes of guided waves, such as the BEM [27,28], the wave finite element method (WFE) [29][30][31][32] and the scaled boundary finite element method (SBFEM) [33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study on the Excitation of Guided Waves in Rectangular Plates Using Multiple Point Sources

Duan

Niu

Gan

et al. 2017

Metals

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Ultrasonic guided waves are widely used to inspect and monitor the structural integrity of plates and plate-like structures, such as ship hulls and large storage-tank floors. Recently, ultrasonic guided waves have also been used to remove ice and fouling from ship hulls, wind-turbine blades and aeroplane wings. In these applications, the strength of the sound source must be high for scanning a large area, or to break the bond between ice, fouling and plate substrate. More than one transducer may be used to achieve maximum sound power output. However, multiple sources can interact with each other, and form a sound field in the structure with local constructive and destructive regions. Destructive regions are weak regions and shall be avoided. When multiple transducers are used it is important that they are arranged in a particular way so that the desired wave modes can be excited to cover the whole structure. The objective of this paper is to provide a theoretical basis for generating particular wave mode patterns in finite-width rectangular plates whose length is assumed to be infinitely long with respect to its width and thickness. The wave modes have displacements in both width and thickness directions, and are thus different from the classical Lamb-type wave modes. A two-dimensional semi-analytical finite element (SAFE) method was used to study dispersion characteristics and mode shapes in the plate up to ultrasonic frequencies. The modal analysis provided information on the generation of modes suitable for a particular application. The number of point sources and direction of loading for the excitation of a few representative modes was investigated. Based on the SAFE analysis, a standard finite element modelling package, Abaqus, was used to excite the designed modes in a three-dimensional plate. The generated wave patterns in Abaqus were then compared with mode shapes predicted in the SAFE model. Good agreement was observed between the intended modes calculated in SAFE and the actual, excited modes in Abaqus.

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Numerical modeling of three-dimensional open elastic waveguides combining semi-analytical finite element and perfectly matched layer methods

Cited by 56 publications

References 44 publications

Evaluation of Delamination in Concrete by IE Testing Using Multi-Channel Elastic Wave Data

Evaluation of Delamination in Concrete by IE Testing Using Multi-Channel Elastic Wave Data

On the scattering of torsional waves from axisymmetric defects in buried pipelines

A Numerical Study on the Excitation of Guided Waves in Rectangular Plates Using Multiple Point Sources

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