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Scattering of obliquely incident shear waves from a cylindrical cavity
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10.1121/1.3583540
/content/asa/journal/jasa/129/6/10.1121/1.3583540
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/6/10.1121/1.3583540
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Schematic diagram of an ultrasonic inspection of a fastener site for corner cracks in a multilayer structure. The mode conversion of an incident shear wave to a spiral creeping wave to detect corner cracks in the shadow region of the hole is indicated.

Image of FIG. 2.
FIG. 2.

Diagram of an obliquely incident place shear wave at a cylindrical hole with arbitrary polarization.

Image of FIG. 3.
FIG. 3.

Transient total (absolute) displacement response at r = a and z = 0 for 13 select angular location, θ, varying from 0° to 180° for the following incident wave conditions: (a) normal incidence shear wave inspection with φ = 0° and γ = 0°, and (b) an angled-beam shear wave inspection with φ = 45° and γ = 0°.

Image of FIG. 4.
FIG. 4.

3D image plot of the transient total displacement (magnitude) response (normalized with respect to the incident displacement response) at locations around the cylindrical hole and in the y = 0 plane before and after the cylinder (at z = 0), for an oblique incident plane shear wave (φ = 45°) with varying polarization: (a) γ = 0°, (b) γ = 90°.

Image of FIG. 5.
FIG. 5.

(Color online) (a) Magnitude of the displacement response for the first isolated creeping wave signal far in time at select points around the fastener site and varying angle of polarization: θ = 180° and γ = 90° (solid line with square), θ = 0° and γ = 90° (solid line with diamonds), 180° and γ = 0° (dashed line with circles), θ = 0° and γ = 0° (dashed line with triangles). (b) Displacement ratio representing the change in magnitude of creeping wave signal after propagating π radians in θ for γ = 90° (solid line with square) and γ = 0° (dashed line with circles).

Image of FIG. 6.
FIG. 6.

(Color online) Displacement ratio representing the change in magnitude for the first isolated creeping wave signal far in time after propagating π radians in θ: f = 2.5 MHz (solid line with squares), f = 5.0 MHz (dashed line with circles), and f = 7.5 MHz (dash-dotted line with x).

Image of FIG. 7.
FIG. 7.

(Color online) Diagram of an obliquely incident shear wave at a cylindrical hole showing pertinent paths and angles for the creeping wave time-of-flight difference calculation.

Image of FIG. 8.
FIG. 8.

Ratio of creeping wave group velocity (c R′ ) with respect to the shear wave speed (c T ) for varying plane wave incident angle at 5.0 MHz (squares).

Image of FIG. 9.
FIG. 9.

Path of displacement response for the first isolated creeping wave signal from an angled-beam shear plane wave (with φ = 45° and γ = 0°) at r = a, θ = 270° and z = 0 (a) in 3D, and (b) in tangential (t) and z-directions plane.

Image of FIG. 10.
FIG. 10.

(Color online) (a) Displacement response at r = a, θ = 75° and z = 0 representing the incident signals at virtual crack locations of θ c  = 15° and θ c  = 165°. Three displacement components are shown: the tangential component (solid line), the radial component (dashed line), and the z-component (dash-dotted line). (b) Normalized peak to peak displacement response on the cavity surface for varying angular locations of a virtual crack, θ c . The displacement results are presented for the tangential (squares), radial (circles), and z-components (×).

Image of FIG. 11.
FIG. 11.

(Color online) Displacement response in the far field at three locations: (a) x = 3a, y = a, z = 0; (b) at x = 3a, y = 0, z = 0; and (c) x = −3a, y = a, z = 0. Three displacement components are shown: the x-component (solid line), the y-component (dashed line), and the z-component (dash-dotted line).

Image of FIG. 12.
FIG. 12.

(Color online) (a) Maximum peak to peak displacement response and (b) traducer position (x-direction: circles, and y-direction: squares) of the maximum peak to peak reflected signal as a function of EDM notch angular location, θ c , around the hole. The transducer positions are relative to a “reference” provided by the maximum peak to peak response from the fastener hole.

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/content/asa/journal/jasa/129/6/10.1121/1.3583540
2011-06-14
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Scattering of obliquely incident shear waves from a cylindrical cavity
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/6/10.1121/1.3583540
10.1121/1.3583540
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