A semi-analytical finite element formulation for modeling stress wave propagation in axisymmetric damped waveguides

Marzani, Alessandro; Viola, Erasmo; Bartoli, Ivan; Scalea, Francesco Lanza di; Rizzo, Piervincenzo

doi:10.1016/j.jsv.2008.04.028

Cited by 162 publications

(96 citation statements)

References 33 publications

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“…However, the experimental measurements of Barshinger and Rose are largely limited to above 0.6 MHz, with only a few data points around 0.2 MHz. The analysis of Barshinger and Rose [2] has been extended to make use of the SAFE method, see for example Marzani et al [9], and Hua and Rose [10]; however, there is little further experimental data available in the literature with which to validate predictions obtained using these models, especially at lower frequencies. Accordingly, there is a clear need to review and further validate 6 the viscoelastic properties obtained using shear/torsional modes against data measured separately for longitudinal modes, especially in the frequency range 20 to 120 kHz.…”

Section: Introductionmentioning

confidence: 99%

On the scattering of longitudinal elastic waves from axisymmetric defects in coated pipes

Kirby

Zlatev

Mudge³

2013

Journal of Sound and Vibration

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Viscoelastic coatings are widely used to protect pipelines from their surrounding environment.These coatings are known to attenuate ultrasonic waves guided along the pipe walls, which may limit the range of a pulse/echo based inspection technique that seeks to detect defects in a pipeline. This article aims to investigate the attenuation of longitudinal modes in a coated pipe by comparing predicted and measured values for the reflection coefficient of an axisymmetric defect in a pipe coated with bitumen. This extends recent work undertaken by the authors for torsional modes, and also provides an independent investigation into the validity of those values proposed by the authors for the shear properties of bitumen, based on a comparison between prediction and experiment for torsional modes. Predictions are generated using a numerical mode matching approach for axially uniform defects, and a hybrid finite element based method for non-uniform defects. Values for the shear and longitudinal properties of bitumen are investigated and it is shown that the shear properties of the viscoelastic material play a dominant role in the propagation of longitudinal modes in a coated pipeline. Moreover, by using the shear values obtained from experiments on torsional modes, it is shown that good agreement between prediction and measurement for uniform and non-uniform defects may also be obtained for the longitudinal L(0,2) mode. This provides further validation for the shear bulk acoustic properties proposed for bitumen in the low ultrasonic frequency range, although in order to apply this methodology in general it is demonstrated that one must measure independently the reflection coefficient of both the torsional T(0,1) and the longitudinal L(0,2) mode before arriving at values for the shear properties of a viscoelastic material.3

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Section: Introductionmentioning

confidence: 99%

On the scattering of longitudinal elastic waves from axisymmetric defects in coated pipes

Kirby

Zlatev

Mudge³

2013

Journal of Sound and Vibration

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“…For example, Castaings and Lowe [11] calculate the eigenmodes for an elastic waveguide of arbitrary cross section surrounded by an absorbing region. Energy dissipation in coated pipes was studied by both Mu and Rose [12] and Marzani et al [13], who both used the SAFE method. Here, the SAFE method is applied in its most general form, that is, the problem is solved for all available symmetrical and non-symmetrical eigenmodes (the number of independent eigenmodes found being equal to the number of nodes in the finite element mesh).…”

Section: Introductionmentioning

confidence: 99%

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

Kirby

Zlatev

Mudge³

2012

Journal of Sound and Vibration

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Long range ultrasonic testing is now a well established method for examining in-service degradation in pipelines. In order to protect pipelines from the surrounding environment it is common for viscoelastic coatings to be applied to the outer surface. These coatings are, however, known to impact on the ability of long range ultrasonic techniques to locate degradation, or defects, within a coated pipe. The coating dissipates sound energy travelling along the pipe, attenuating both the incident and reflected signals making responses from defects difficult to detect. This article aims to investigate the influence of a viscoelastic coating on the ability of long range ultrasonic testing to detect a defect in an axisymmetric pipe. The article focuses on understanding the behaviour of the fundamental torsional mode and quantifying the effect of bitumen coatings on reflection coefficients generated by axisymmetric defects. Reflection coefficients are measured experimentally for coated and uncoated pipes and compared to theoretical predictions generated using numerical mode matching and a hybrid finite element technique. Good agreement between prediction and measurement is observed for uncoated pipes, and it is shown that the theoretical methods presented here are fast and efficient making them suitable for studying long pipe runs. However, when studying coated pipes agreement between theory and prediction is observed to be poor for predictions based on those bulk acoustic properties currently reported in the literature for bitumen. Good agreement is observed only after conducting a parametric study to identify more appropriate values for the bulk acoustic properties. Furthermore, the reflection coefficients obtained for the fundamental torsional mode in a coated pipe show that significant sound attenuation is present over relatively short lengths of coating, thus quantifying those problems commonly encountered with the use of long range ultrasonic testing on coated pipes in the field.3

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“…Figures 1 and 2 show the dispersion curves and attenuation respectively for the aforementioned system. Re-sults given by the PSCM are shown in blue circles and the results obtained with a (Semi-Analytical Finite Element) SAFE (for this method see paper by Marzani et al [15] for instance) simulation are given in red asterisks. As can be The next example consists of a cylinder made of a viscoelastic material with hexagonal symmetry (transversely isotropic).…”

Section: Dispersion Curves For Guided Waves In Viscoelastic Materialsmentioning

confidence: 99%

Dispersion loci of guided waves in viscoelastic composites of general anisotropy

Quintanilla¹,

Fan²,

Lowe³

2016

AIP Conference Proceedings

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A semi-analytical finite element formulation for modeling stress wave propagation in axisymmetric damped waveguides

Cited by 162 publications

References 33 publications

On the scattering of longitudinal elastic waves from axisymmetric defects in coated pipes

On the scattering of longitudinal elastic waves from axisymmetric defects in coated pipes

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

Dispersion loci of guided waves in viscoelastic composites of general anisotropy

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