2017
DOI: 10.1063/1.4974660
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Hybrid ray-FDTD model for the simulation of the ultrasonic inspection of CFRP parts

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Cited by 7 publications
(4 citation statements)
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“…where u m and σ m are the displacement and stress matrices for layer m, A m± are the amplitudes of the upward traveling waves in layer m, h m is the thickness of the layer m, F is the matrix consisting of force vectors f ± of the three propagating modes of the wave in Equation ( 7), D is a matrix consisting of the polarization vectors as shown in Equation ( 8), and H is a diagonal matrix in which the propagators are distributed along the diagonal with the other elements of matrix being zero, as shown in Equation (9).…”
Section: Transfer and Stiffness Matrix Methods For Multilayer Wave Propagationmentioning
confidence: 99%
See 1 more Smart Citation
“…where u m and σ m are the displacement and stress matrices for layer m, A m± are the amplitudes of the upward traveling waves in layer m, h m is the thickness of the layer m, F is the matrix consisting of force vectors f ± of the three propagating modes of the wave in Equation ( 7), D is a matrix consisting of the polarization vectors as shown in Equation ( 8), and H is a diagonal matrix in which the propagators are distributed along the diagonal with the other elements of matrix being zero, as shown in Equation (9).…”
Section: Transfer and Stiffness Matrix Methods For Multilayer Wave Propagationmentioning
confidence: 99%
“…A variety of approaches to simulate the array signals from multilayered materials have been reported in the literature. These approaches include applying ray methods to a homogenized layered structure [ 8 ], using hybrid ray–finite difference time domain (FDTD) methods [ 9 ], multi-Gaussian beams [ 10 , 11 ], or using plane wave models to calculate the reflection or transmission of the waves in the bounding media [ 12 , 13 , 14 , 15 ]. These approaches are either computationally expensive when used for layered materials, singular when interacting with curved interfaces, or do not reflect the real-world situation of bounded beams.…”
Section: Introductionmentioning
confidence: 99%
“…A promising option in CIVA 2016, called CIVA FIDEL 2D, can address this need for improved accuracy while maintaining reasonable simulation time in modeling the incident field and scattering from defects in composite inspections. CIVA FIDEL incorporates a hybrid approach using semi-analytical models for ultrasonic transmit and receiver transducers in conjunction with a 2D finite difference time domain (FDTD) solution for modeling the local interaction and scattering from multilayer composites with discontinuities [11][12]. A screen shot of the CIVA FIDEL software interface is presented in Fig.…”
Section: Modelmentioning
confidence: 99%
“…As well, CIVA FIDEL provides some very useful features for reviewing the simulated results; it is feasible to view the peak response in the specimen domain, and step through the transient response using 2D image views. More information on the formulation and applications of CIVA FIDEL can be found in references [11][12].…”
Section: Modelmentioning
confidence: 99%