THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING
Keyword(s):
The Kirchhoff approximation is widely used to describe the scatter of elastodynamic waves. It simulates the scattered field as the convolution of the free-space Green’s tensor with the geometrical elastodynamics approximation to the total field on the scatterer surface and, therefore, cannot be used to describe nongeometrical phenomena, such as head waves. The aim of this paper is to demonstrate that an alternative approximation, the convolution of the far-field asymptotics of the Lamb’s Green’s tensor with incident surface tractions, has no such limitation. This is done by simulating the scatter of a critical Gaussian beam of transverse motions from an infinite plane. The results are of interest in ultrasonic nondestructive testing.
2004 ◽
Vol 40
(9)
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pp. 593-601
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2000 ◽
Vol 456
(1995)
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pp. 571-591
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2004 ◽
Vol 40
(9)
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pp. 593-601
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2020 ◽
Vol 17
(9)
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pp. 1498-1502
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2014 ◽
Vol 926-930
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pp. 2777-2780
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2010 ◽
Vol 58
(10)
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pp. 3407-3411
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2008 ◽
Vol 56
(1)
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pp. 158-169
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