Modeling the Propagation of Bounded Beams Through Curved Interfaces

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

doi:10.1007/978-1-4615-5947-4_110

Cited by 4 publications

(9 citation statements)

References 4 publications

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“…The first method makes use of the paraxial approximation and Stokes' theorem to transform the surface integral model into a simpler model where the total wave field response is decomposed into two parts: (1) a direct plane wave component that exists only within the "main beam" of the transducer, and (2) an edge wave that arises from the radiation of waves through the interface from the transducer rim. Since the form of this response is the same as that obtained in boundary diffraction wave theory [21], we call this result the boundary diffraction wave (BDW) paraxial model. Our BDW paraxial model is essentially the generalization of the original approach of Thompson and Gray [ 101 for this problem to the case where the wave fields can be evaluated at an arbitrary field point in the solid, and is the extension to oblique incidence of the boundary diffraction wave model previously used by Schmerr et al [21] for the radiation of a transducer through an interface at normal Downloaded by [Monash University Library] at 07:00 05 June 2016 incidence (note, however, that the normal incidence BDW model in reference [21] does not rely on the paraxial approximation).…”

Section: Introductionmentioning

confidence: 92%

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: Introductionmentioning

confidence: 92%

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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“…Schmerr et al [8]). The remaining surface integral over the transducer face can be evaluated with edge elements or a numerical technique of the user's choice.…”

Section: Curved Interface Beam Modelsmentioning

confidence: 99%

“…where the diffraction coefficient, cr (Spm), is given by and e and g( l/J) are given explicitly in [8], DTo and D!o are the ray paths in the first and second media, respectively, and P e is the radius from the origin of the fixed ray to the edge of the transducer. The PBDW model is extremely efficient to calculate, making it an excellent candidate for use in real-time ultrasonic inspection simulators.…”

Section: Curved Interface Beam Modelsmentioning

confidence: 99%

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Ultrasonic Transducer Radiation through a Curved Fluid-Solid Interface

Lerch

Schmerr

Sedov

1998

Review of Progress in Quantitative Nondestructive Evaluation

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“…9. The Gauss-Hermite [7,8,9], the multi-Gaussian [10,11], and the boundary diffraction models [12,13,14] are all paraxial models. Other models have been developed that may be more detailed but also more computationally intensive than these [15,16,17,18,19,20,21].…”

Section: Theories Of Interaction With Probe Fieldsmentioning

confidence: 99%

Evolution of Qnde’s Core Interdisciplinary Science and Engineering Base

Thompson¹,

Chimenti²

2010

AIP Conference Proceedings

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Nondestructive testing (NDT) for flaws in materials and structures has undergone an evolutionary change over the past 50 years. In the U.S. it has moved from a testing strategy (NDT) with a zero defects requirement to a test and evaluate technology (NDE) based upon damage tolerant design considerations. Here it is assumed that the part will always contain defects but those greater than a critical size, specified by fracture mechanics, will be removed by inspection thereby resetting the part's service clock. In this talk, events will be identified that were critical in promoting this paradigm shift and in moving on to quantitative NDE (QNDE). A number of major research programs were also initiated to upgrade NDT to meet the new requirements; principal attention in this talk will be given to research highlights initiated in the first of these programs, the DARPA∕AFML Interdisciplinary Program for Quantitative Flaw Definition that was established 35 years ago. Its purpose was threefold: to develop a new core science∕people base for inspection technology that could meet the new requirements, to set the stage for new field-adaptable engineering tools, and to initiate the current continuing series of quantitative NDE (QNDE) meetings. Advances initiated in this program and pursued by many over the years have resulted in a scientific core structure for quantitative NDE (QNDE) based on a linkage of fundamental models of the various measurement processes that are involved in any inspection and∕or technology. These models and their linkage will be discussed and the core structure defined. A new and powerful set of engineering tools-i.e. simulation programs for UT, X-ray, and EC technologies -has also been developed using these models. Applications of these tools will be highlighted and their role in other advanced programs including Structural Health Monitoring and Condition-Based Maintenance will be noted. Finally, a discussion of visions of future opportunities and directions for QNDE will be given. Published by the American Institute of Physics. Related ArticlesInfluence of a localized defect on acoustic field correlation in a reverberant medium J. Appl. Phys. 110, 084906 (2011) Full-field imaging of nonclassical acoustic nonlinearity Appl. Phys. Lett. 91, 264102 (2007) Laser ablation of solid substrates in a water-confined environment Appl. Phys. Lett. 79, 1396Lett. 79, (2001 Estimation of lubricant thickness on a magnetic hard disk using acoustic emission Rev. Sci. Instrum. 71, 1915 (2000) A theoretical model for acoustic emission sensing process in contact/near-contact interfaces of magnetic recording system J. Appl. Phys. 85, 5609 (1999) Additional information on AIP Conf. Proc. ABSTRACT. Nondestructive testing (NDT) for flaws in materials and structures has undergone an evolutionary change over the past 50 years. In the U.S. it has moved from a testing strategy (NDT) with a zero defects requirement to a test and evaluate technology (NDE) based upon damage tolerant design considerations. Here it ...

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Modeling the Propagation of Bounded Beams Through Curved Interfaces

Cited by 4 publications

References 4 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

Ultrasonic Transducer Radiation through a Curved Fluid-Solid Interface

Evolution of Qnde’s Core Interdisciplinary Science and Engineering Base

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