Ultrasonic three-dimensional probe modeling in anisotropic solids

Niklasson, A. Jonas

doi:10.1121/1.422763

Cited by 8 publications

(9 citation statements)

References 16 publications

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“…The most significant difference between the model developed here and the one in Ref. [3] is that the former directly imposes a traction distribution on the test object, which would produce only the desired wave of a given mode and propagation direction, whereas the latter begins with the excitation of an isotropic wedge that is coupled with the anisotropic test object. The model in Ref.…”

Section: Models Of Transmitting Probes For Austenitic Weldmentioning

confidence: 96%

“…The model in Ref. [3] produces complex wavefield of multiple incident waves with various modes and propagation directions, therefore is not convenient for the purpose of this study.…”

Section: Models Of Transmitting Probes For Austenitic Weldmentioning

confidence: 99%

“…Fedorov [1] and Musgrave [2]. Recent analytical studies with a focus on nondestructive testing of anisotropic materials include a traction model proposed by Niklasson [3], a Fouriertransform-based model derived by Eriksson et al [4], and various Gaussian beam models developed by Spies [5].…”

Section: Introductionmentioning

confidence: 99%

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Numerical modeling and simulation for ultrasonic inspection of anisotropic austenitic welds using the mass-spring lattice model

Baek¹,

Yim²

2011

NDT & E International

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Section: Models Of Transmitting Probes For Austenitic Weldmentioning

confidence: 96%

“…The model in Ref. [3] produces complex wavefield of multiple incident waves with various modes and propagation directions, therefore is not convenient for the purpose of this study.…”

Section: Models Of Transmitting Probes For Austenitic Weldmentioning

confidence: 99%

See 1 more Smart Citation

Numerical modeling and simulation for ultrasonic inspection of anisotropic austenitic welds using the mass-spring lattice model

Baek¹,

Yim²

2011

NDT & E International

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“…In this model the stress at the interface between the transducer and the component is prescribed. It should be mentioned that there is no fundamental difficulty in treating an anisotropic base material, for instance by using the transducer model of [Niklasson 1998]. The explicit expression for the displacement field generated in an isotropic half-space is…”

Section: The Incoming Fieldmentioning

confidence: 99%

Wave scattering from a rectangular crack in an anisotropic cladding

Jansson¹

2011

J. Mech. Mater. Struct.

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Ultrasonic testing of a thick elastic plate with a crack in an anisotropic cladding is modeled analytically for a fully three-dimensional case. The model includes an ultrasonic transmitter and a receiver as well as wave scattering from a rectangular crack. The effect of a corrugated interface between the base component and the cladding is also taken into account. To solve the scattering problem the null field approach is employed to determine a Green's tensor for the same structure without a crack and the source point located in the cladding. Utilizing the Green's tensor an integral representation for the displacement field in the same structure with a crack and an incident field generated by an ultrasonic transducer may be derived. It is then straightforward to derive a hypersingular integral equation for the crack opening displacement, which can be used to determine the change in signal response due to the crack by Auld's reciprocity argument. Numerical results are given for a variety of cases illustrating the effects of size, position, and orientation of the crack and the properties of the corrugated interface. IntroductionUltrasonic nondestructive testing is frequently used to detect defects, e.g., in nuclear power plants. Even though the method has been in use for a considerable time and may be regarded as well-established, there is a need for modeling of the testing procedure. Such a model may be useful for planning of testing, for qualification of testing procedures, for interpretation of results, and for education purposes. Using a good mathematical model also has the benefit of being much cheaper than experimental methods, in particular when parameter studies are performed.In the nuclear power industry it is common to use claddings, i.e., layers of austenitic steel, to prevent or reduce corrosion. A cladding may be applied to a thick plate or a thick-walled pipe by a manual or automated welding process. As a result of the fabrication process the interface between the base material and the cladding usually becomes corrugated, which is likely to affect the propagation of ultrasonic waves. Furthermore, the cladding material is normally anisotropic, which will also complicate the interpretation of test results. Thus, a numerical model for the testing procedure may be useful for understanding of the influence of the cladding on the signal response. An overview of ultrasonic testing of clad components is given in [Hudgell 1994].Various wave propagation problems for a thick plate with a cladding with or without a crack have been studied previously. The 2D and 3D wave propagation problems for a structure without a crack have been investigated in [Krasnova et al. 2005;Krasnova 2005] The aim of this paper is to develop a fully three-dimensional analytical model for a thick plate with a rectangular crack of arbitrary orientation in a cladding. Both materials are allowed to be anisotropic without any restrictions on symmetry or orientation of the crystal axes. In the numerical examples, however, only the case of a...

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“…The incident field is taken as the probe field by Niklasson [13], and integral equations are derived for the crack opening displacement (COD) in the same way as by Mattsson [8], [9]. First, the problem is formulated mathematically.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Ultrasonic Crack Detection in Anisotropic Materials

Mattsson¹,

Niklasson²,

Eriksson³

1997

Res Nondestr Eval

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The scattering of probe-generated ultrasonic fields incident upon a strip-like crack in an anisotropic half-space is discussed. In the situation considered, two possibly coinciding probes are attached to the surface of the half-space. One is transmitting waves incident upon the crack and the other one is receiving the scattered waves. An electric signal response is calculated via an electromechanical reciprocity relation. For a crack far away from the probes and the surface, an approximate expression is calculated. Several numerical examples are presented for an isotropic and a transversely isotropic solid. The results are presented as A-, B-, and C-scans.

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Ultrasonic three-dimensional probe modeling in anisotropic solids

Cited by 8 publications

References 16 publications

Numerical modeling and simulation for ultrasonic inspection of anisotropic austenitic welds using the mass-spring lattice model

Numerical modeling and simulation for ultrasonic inspection of anisotropic austenitic welds using the mass-spring lattice model

Wave scattering from a rectangular crack in an anisotropic cladding

Three-Dimensional Ultrasonic Crack Detection in Anisotropic Materials

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