Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media

Wang, L.; Rokhlin, S. I.

doi:10.1016/s0041-624x(01)00082-8

Cited by 227 publications

(121 citation statements)

References 19 publications

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“…4 for a hypothetical transversal isotropic material. The P-UPS simulation is performed according to the recursive stiffness matrix method [27,38,39]. The spectral frequency content of a typical ultrasonic broadband pulse is accounted for by means of a Fourier integral.…”

Section: Optimization Proceduresmentioning

confidence: 99%

“…From this set of elasticity tensors C ij , P-UPS sectors at a few fixed polar angles φ are computed. The P-UPS simulations are performed according to the recursive stiffness matrix method [27,38,39]. By allowing small perturbations in the elasticity tensor C ij , the local minima in the computed P-UPS sections are matched with the observed minima in the P-UPS experiment.…”

Section: Optimization Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Identification of the Elastic Properties of Isotropic and Orthotropic Thin-Plate Materials with the Pulsed Ultrasonic Polar Scan

et al. 2014

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Already in the early 1980's, it has been conjectured that the pulsed ultrasonic polar scan (P-UPS) provides a unique fingerprint of the underlying mechanical elasticity tensor at the insonified material spot. Until now, that premise has not been thoroughly investigated, nor validated, despite the opportunities this would create for NDT and materials science in general. In this paper, we report on the first-ever implementation of an inverse modeling technique on the basis of a genetic optimization scheme in order to extract quantitative information from a P-UPS. We validate the optimization approach for synthetic data, and apply it to experimentally obtained polar scans for annealed aluminum, cold rolled DC-06 steel as well as for carbon fiber reinforced plastics. The investigated samples are plate-like and do not require specific preparation. The inverted material characteristics show good agreement with literature, micro-mechanical models as well as with results obtained through conventional testing procedures.

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Section: Optimization Proceduresmentioning

confidence: 99%

Section: Optimization Proceduresmentioning

confidence: 99%

Identification of the Elastic Properties of Isotropic and Orthotropic Thin-Plate Materials with the Pulsed Ultrasonic Polar Scan

et al. 2014

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“…The partial waves, positive and negative travelling longitudinal and shear waves, are defined to trace guided wave propagation [2,25,[27][28][29][30][31][32]. Detailed derivation of the stress and displacement expressions can also be found in [25].…”

Section: Analytical Modellingmentioning

confidence: 99%

Dispersion and Sensitivity Analysis of Quasi-Scholte Wave Liquid Sensing by Analytical Methods

Onen

2017

Journal of Sensors

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Ultrasonic-guided wave sensing relies on perturbation of wave propagation by changing physical properties of the target media. Solid waveguides, through which guided waves can be transduced between the transducer and the target media, are frequently employed for liquid sensing and several other applications. In this manuscript, liquid sensing sensitivity of dispersive quasi-Scholte waves, which are guided interface waves that travel at the solid-liquid boundary, is investigated. Dispersion analysis of quasi-Scholte waves is done and sensitivities of quasi-Scholte waves to changes in fluid density and speed of sound in a dipstick configuration are analyzed. An experimentally verified analytical model based on a global matrix approach is employed in a nondimensional manner to generate representative dispersion and sensitivity surfaces. Optimum configurations with respect to the material properties of the liquid and of the waveguide are illustrated, which would enable optimal quasi-Scholte liquid sensing.

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“…4,5 Also a new alternative method to overcome the numerical instability problem was proposed which consists in the introduction of a layer stiffness matrix associated with an efficient recursive algorithm to calculate the global stiffness matrix for an arbitrary anisotropic layered structure. 6 A recursive surface impedance method was also proposed. 7 With the matrix methods, a solution requires the determination of the roots of a characteristic function established from equations of motion and continuity and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Mapped orthogonal functions method applied to acoustic waves-based devices

Lefebvre

Ratolojanahary

et al. 2016

AIP Advances

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This work presents the modelling of acoustic wave-based devices of various geometries through a mapped orthogonal functions method. A specificity of the method, namely the automatic incorporation of boundary conditions into equations of motion through position-dependent physical constants, is presented in detail. Formulations are given for two classes of problems: (i) problems with guided mode propagation and (ii) problems with stationary waves. The method’s interest is demonstrated by several examples, a seven-layered plate, a 2D rectangular resonator and a 3D cylindrical resonator, showing how it is easy to obtain either dispersion curves and field profiles for devices with guided mode propagation or electrical response for devices with stationary waves. Extensions and possible further developments are also given.

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Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media

Cited by 227 publications

References 19 publications

Identification of the Elastic Properties of Isotropic and Orthotropic Thin-Plate Materials with the Pulsed Ultrasonic Polar Scan

Identification of the Elastic Properties of Isotropic and Orthotropic Thin-Plate Materials with the Pulsed Ultrasonic Polar Scan

Dispersion and Sensitivity Analysis of Quasi-Scholte Wave Liquid Sensing by Analytical Methods

Mapped orthogonal functions method applied to acoustic waves-based devices

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