Scattering from a Rectangular Crack in a Cladding

Jansson, Per-Åke

doi:10.1007/978-90-481-9893-1_38

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“…The 2D scalar scattering problem with a strip-like crack was solved in [Zagbai and Boström 2006], and the 2D P-SV Keywords: ultrasound, crack, anisotropy, cladding. [Jansson and Zagbai 2007]. In the present paper the analysis is generalized to the 3D case.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

“…In the present paper the analysis is generalized to the 3D case. A rudimentary version has previously been presented at a conference [Jansson 2010]. …”

Section: Introductionmentioning

confidence: 99%

Wave scattering from a rectangular crack in an anisotropic cladding

Jansson¹

2011

J. Mech. Mater. Struct.

Self Cite

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show abstract

Scattering from a Rectangular Crack in a Cladding

Cited by 1 publication

References 1 publication

Wave scattering from a rectangular crack in an anisotropic cladding

Wave scattering from a rectangular crack in an anisotropic cladding

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