A 2D model of ultrasonic testing for cracks near a non-planar surface

2D P–SV elastic wave scattering by a crack near a non-planar surface is investigated. The solution method employed is based on a reformulation of the wave scattering problem as two coupled boundary integral equations (BIE): a traction BIE for the crack opening displacement (COD) and a displacement B...

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Published in:	Wave motion Vol. 47; no. 6; pp. 383 - 394
Main Authors:	Westlund, J., Boström, A.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-10-2010
Subjects:	Boundary element method Boundary integral equation method Crack Crack opening displacement Cracks Displacement Integral equations Mathematical analysis Mathematical models Scattering Traction Two dimensional Ultrasonics Boundary integral equation method Scattering Ultrasonics Crack
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Abstract	2D P–SV elastic wave scattering by a crack near a non-planar surface is investigated. The solution method employed is based on a reformulation of the wave scattering problem as two coupled boundary integral equations (BIE): a traction BIE for the crack opening displacement (COD) and a displacement BIE for the back surface displacement. The two coupled integral equations are solved using a combination of the boundary element method (BEM) for the back surface and a series expansion of the COD in Chebyshev functions. To model an ultrasonic contact probe in transmission, the traction on the surface beneath the probe is prescribed. The action of the receiving ultrasonic probe is modelled using a reciprocity relation. A few numerical examples illustrating the influence of the back surface are given.
AbstractList	2D P–SV elastic wave scattering by a crack near a non-planar surface is investigated. Thesolution method employed is based on a reformulation of the wave scattering problemas two coupled boundary integral equations (BIE): a traction BIE for the crack opening displacement(COD) and a displacement BIE for the back surface displacement. The two coupledintegral equations are solved using a combination of the boundary element method(BEM) for the back surface and a series expansion of the COD in Chebyshev functions. Tomodel an ultrasonic contact probe in transmission, the traction on the surface beneaththe probe is prescribed. The action of the receiving ultrasonic probe is modelled using areciprocity relation. A few numerical examples illustrating the influence of the back surfaceare given. 2D P-SV elastic wave scattering by a crack near a non-planar surface is investigated. The solution method employed is based on a reformulation of the wave scattering problem as two coupled boundary integral equations (BIE): a traction BIE for the crack opening displacement (COD) and a displacement BIE for the back surface displacement. The two coupled integral equations are solved using a combination of the boundary element method (BEM) for the back surface and a series expansion of the COD in Chebyshev functions. To model an ultrasonic contact probe in transmission, the traction on the surface beneath the probe is prescribed. The action of the receiving ultrasonic probe is modelled using a reciprocity relation. A few numerical examples illustrating the influence of the back surface are given.
Author	Westlund, J. Boström, A.
Author_xml	– sequence: 1 givenname: J. surname: Westlund fullname: Westlund, J. email: jonathan.westlund@chalmers.se – sequence: 2 givenname: A. surname: Boström fullname: Boström, A.
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Snippet	2D P–SV elastic wave scattering by a crack near a non-planar surface is investigated. The solution method employed is based on a reformulation of the wave... 2D P-SV elastic wave scattering by a crack near a non-planar surface is investigated. The solution method employed is based on a reformulation of the wave... 2D P–SV elastic wave scattering by a crack near a non-planar surface is investigated. Thesolution method employed is based on a reformulation of the wave...
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SubjectTerms	Boundary element method Boundary integral equation method Crack Crack opening displacement Cracks Displacement Integral equations Mathematical analysis Mathematical models Scattering Traction Two dimensional Ultrasonics
Title	A 2D model of ultrasonic testing for cracks near a non-planar surface
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