Ultrasonic Transducer Radiation through a Curved Fluid-Solid Interface

Lerch, Terence P.; Schmerr, Lester W.; Sedov, Alexander

doi:10.1007/978-1-4615-5339-7_119

Cited by 5 publications

(9 citation statements)

References 7 publications

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“…However, comparisons of that more general edge element model with models of the type discussed here have shown little difference in their predictions (see reference [31]), so that the stationary phase approximation appears to work well as a foundation for such models, subject to the limitations mentioned previously.…”

Section: Conclusion and Discussionmentioning

confidence: 93%

“…The BDW paraxial models are not able to be generalized easily for nonpiston sources or for focused probes since in these cases the forms present do not allow a direct use of Stokes' theorem [see Eq. (39)l. The BDW paraxial models can be generalized to handle curved interfaces, but they also have the same limitations at caustics as the surface integral model for such cases [30,31]. The edge element model is the most versatile of the models for generalization.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid–Solid Interface

Lerch

Schmerr

Sedov

1999

Research in Nondestructive Evaluation

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Three types of transducer beam models are developed for obtaining the bulk waves generated by a plane piston transducer radiating through a planar fluid-solid interface. The first type, called the surface integral model, is based on a RayleighSommerfeld-like integral that requires a two-dimensional surface integral to be evaluated. The second model, called the boundary diffraction wave (BDW) paraxial model, simplifies the two-dimensional integration of the surface integral model to a one-dimensional line integration. The third type of model, called the edge element model, is shown to be a novel way of efficiently evaluating the two-dimensional surface integration of the surface integral model. The limitations of these models for simulating inspections near critical refracted angles and near the interface are discussed.It is shown that the introduction of the paraxial approximation in the BDW model allows that model to be computed with a very large (300-1) speed advantage over the surface integral while retaining the same accuracy in most cases. The edge element model, while having a smaller (5-1) advantage over the direct numerical integration of the surface integral model, retains the accuracy of the surface integral model in cases where the paraxial approximation fails and can be easily generalized to more complex testing situations (focused probes, curved interfaces, etc.).

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Section: Conclusion and Discussionmentioning

confidence: 93%

Section: Conclusion and Discussionmentioning

confidence: 99%

Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid–Solid Interface

Lerch

Schmerr

Sedov

1999

Research in Nondestructive Evaluation

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show abstract

“…The surface integral model, for example, could be generalized to nonpiston sources and to focused probes by modifying appropriately the integrand or the surface of integration, respectively, in Eq. (23)] for focusing curved interfaces, there are caustics in the solid where they can fail [30,31]. Similarly, a surface integral model for curved surfaces analogous to Eq.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid—Solid Interface

Lerch¹,

Schmerr²,

Sedov³

1999

Res Nondestr Eval

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Three types of transducer beam models are developed for obtaining the bulk waves generated by a plane piston transducer radiating through a planar fluid-solid interface. The first type, called the surface integral model, is based on a Rayleigh-Sommerfeld-like integral that requires a two-dimensional surface integral to be evaluated. The second model, called the boundary diffraction wave (BDW) paraxial model, simplifies the two-dimensional integration of the surface integral model to a one-dimensional line integration. The third type of model, called the edge element model, is shown to be a novel way of efficiently evaluating the two-dimensional surface integration of the surface integral model. The limitations of these models for simulating inspections near critical refracted angles and near the interface are discussed.It is shown that the introduction of the paraxial approximation in the BDW model allows that model to be computed with a very large (300-1) speed advantage over the surface integral while retaining the same accuracy in most cases. The edge element model, while having a smaller (5-1) advantage over the direct numerical integration of the surface integral model, retains the accuracy of the surface integral model in cases where the paraxial approximation fails and can be easily generalized to more complex testing situations (focused probes, curved interfaces, etc.).

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“…The edge element method for planar surface geometries uses the method of stationary phase to eliminate the integral over the interface. 7 This technique is comparatively fast when ray tracing is used, but suffers significant reduction of speed when singularity and caustics ͑the envelope of rays either reflected or refracted by a manifold͒ are encountered, which can happen for complex geometries.…”

Section: Introductionmentioning

confidence: 99%

“…Later, the edge element technique was extended to model wave fields near fluid-solid interfaces. 7 Multi-Gaussian beam model was proposed by Wen and Breazeale 8 to model the wave field radiated by a circular piston transducer. Schmerr 9 followed this approach to compute the ultrasonic field near a curved fluid-solid interface.…”

Section: Introductionmentioning

confidence: 99%

Scattering of ultrasonic waves by internal anomalies in plates

Banerjee

Kundu

2007

Opt. Eng

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Real-time nondestructive testing ͑NDT͒ and nondestructive evaluation ͑NDE͒ of plate-type structures are important for structural health monitoring ͑SHM͒ applications. In this work, the wave scattering from horizontally oriented internal cavities or cracks in a plate is studied using the distributed point source method ͑DPSM͒. DPSM has gained popularity in the last few years in the field of ultrasonic field modeling. DPSM is a semianalytical technique that can be used to calculate the ultrasonic field ͑pressure, velocity, and displacement fields in a fluid, or stress and displacement fields in a solid͒ generated by ultrasonic transducers. So far, the technique has been used to model the ultrasonic field near a fluid-solid interface when a solid half-space is immersed in a fluid. This method has also been used to model the ultrasonic field generated in a homogeneous isotropic solid plate immersed in a fluid. The objective of this study is to present the theoretical modeling of the diffraction and scattering pattern of guided waves in the solid plate when transducers of finite dimension are used to generate guided waves in the defective plate.

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Ultrasonic Transducer Radiation through a Curved Fluid-Solid Interface

Cited by 5 publications

References 7 publications

Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid–Solid Interface

Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid–Solid Interface

Modeling the Ultrasonic Radiation of a Planar Transducer Through a Plane Fluid—Solid Interface

Scattering of ultrasonic waves by internal anomalies in plates

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