2009
DOI: 10.1007/978-3-540-89105-5_6
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Modelling of scattering of ultrasounds by flaws for NDT

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Cited by 33 publications
(30 citation statements)
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“…In this context hybrid modelling schemes display maximal advantage: a suitable scheme must be generic and independent of the constituent modelling techniques. Although hybrid modelling methods are commonly known in the literature and may be as old as the study of elastic wave scattering itself [20], most developments (including recent ones, such as [3] for efficient FE models and [48] where a CIVA-FE link is being pursued) are tied to specific sets of modelling techniques. We show how the limitation of the hybrid schemes to particular modelling techniques arises out of their fundamental formulation and give a formalism to generalize them.…”
Section: Discussionmentioning
confidence: 99%
“…In this context hybrid modelling schemes display maximal advantage: a suitable scheme must be generic and independent of the constituent modelling techniques. Although hybrid modelling methods are commonly known in the literature and may be as old as the study of elastic wave scattering itself [20], most developments (including recent ones, such as [3] for efficient FE models and [48] where a CIVA-FE link is being pursued) are tied to specific sets of modelling techniques. We show how the limitation of the hybrid schemes to particular modelling techniques arises out of their fundamental formulation and give a formalism to generalize them.…”
Section: Discussionmentioning
confidence: 99%
“…In combination with the long sound paths in the present problem, volume discretization-based methods, such as finite element method (FEM) and finite difference time domain (FDTD), are thus deemed suboptimal [22]. Here, an elastodynamic simulation in the Kirchhoff approximation is used [23], which, while it does not model all elastodynamic wave phenomena, is nonetheless frequently applied in NDT [24]. Based on the high-frequency asymptotics, it is expected to become inaccurate for small defects.…”
Section: Numerical Simulationmentioning
confidence: 98%
“…In practice, its evaluation generally requires various degrees of approximation, depending on the approach. In many approaches the expression is approximated in ways that allows replacing the integrand by plane-wave interaction coefficients [1][2][3]. These coefficients have been obtained analytically for several approximations and types of flaws.…”
Section: = (mentioning
confidence: 99%
“…Plane-wave scattering coefficients are used by many semi-analytical methods, including those described by Thompson and Gray [1] and by Schmerr and Song [2], as well as those implemented in the Civa software [3]. Planewave and quasi plane-wave approximations of the ultrasonic fields provide the input values for the calculations of these coefficients.…”
Section: Introductionmentioning
confidence: 99%