Application of a Modular Multi-Gaussian Beam Model to Some NDE Problems

Jeong, Hyunjo; Park, Moon-Cheol; Schmerr, Lester W.

doi:10.1063/1.1916780

Cited by 2 publications

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“…This modular way of expressing the solution is very convenient to generalize for N transmissions=reflections by representing the propagating Gaussian amplitude and phase in terms of the global matrices for the entire set of multiple propagation and transmission=reflection matrices. More recently the modular Gaussian approach was used to calculate the ultrasonic beams propagating through a multilayered isotropic medium with different interface curvatures [8] and anisotropic materials [9].…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic Transducer Fields Modeled with a Modular Multi-Gaussian Beam and Application to a Contact Angle Beam Testing

Jeong

Schmerr

2008

Research in Nondestructive Evaluation

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A modular Gaussian beam model is developed to simulate some ultrasonic testing configurations where multiple interfaces are involved. A general formulation is given in a modular matrix form to represent the Gaussian beam propagation with multiple interfaces. The ultrasonic transducer fields are modeled by a multi-Gaussian beam model which is formed by superposing 10 single Gaussian beams. The proposed model, referred to as the modular multi-Gaussian beam (MMGB) model, is then applied to a typical contact and angle beam testing configuration to predict the output signal reflected from the corner of a vertical crack. The resulting expressions given in a modular matrix form is implemented in a personal computer using the MATLAB program. Simulation results are presented and compared with available experimental results.

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Section: Introductionmentioning

confidence: 99%

Ultrasonic Transducer Fields Modeled with a Modular Multi-Gaussian Beam and Application to a Contact Angle Beam Testing

Jeong

Schmerr

2008

Research in Nondestructive Evaluation

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Ultrasonic beam propagation in highly anisotropic materials simulated by multi-Gaussian beams

Jeonga

Schmerr

2007

J Mech Sci Technol

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The necessity of nondestructively inspecting fiber-reinforced composites, austenitic steels, and other inherently anisotropic materials has stimulated considerable interest in developing beam models for anisotropic media. The properties of slowness surface playa key role in the beam models based on the paraxial approximation. In this paper, we apply a modular multi-Gaussian beam (MMGB) model to study the effects of material anisotropy on ultrasonic beam profile. It is shown that the anisotropic effects of beam skew and excess beam divergence enter into the MMGB model through parameters defining the slope and curvature of the slowness surface. The overall beam profile is found when the quasilongitudinal (qL) beam propagates in the symmetry plane of a transversely isotropic gr/ep composite. Simulation results are presented to illustrate the effects of these parameters on ultrasonic beam diffraction and beam skew. The MMGB calculations are also checked by comparing the anisotropy factor and beam skew angle with other analytical solutions.

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Application of a Modular Multi-Gaussian Beam Model to Some NDE Problems

Cited by 2 publications

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Ultrasonic Transducer Fields Modeled with a Modular Multi-Gaussian Beam and Application to a Contact Angle Beam Testing

Ultrasonic Transducer Fields Modeled with a Modular Multi-Gaussian Beam and Application to a Contact Angle Beam Testing

Ultrasonic beam propagation in highly anisotropic materials simulated by multi-Gaussian beams

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