Aspects of a Hybrid Analytical Finite Element Method Approach for Ultrasonic Guided Wave Inspection Design

Rose, Joseph L.

doi:10.1115/1.4037573

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…It is apparent that SAFE is a straightforward and numerically stable method for solving guided wave problems in composite structures [38,39]. The authors compared the dispersion curve of propagating wave mode of composite materials from SAFE method, unified analytical method (UAM) and commercially available DISPERSE results in an earlier publication [40].…”

Section: Calculation Of Guided-wave Dispersion Curves In Compositementioning

confidence: 99%

Propagating, Evanescent, and Complex Wavenumber Guided Waves in High-Performance Composites

Giurgiutiu

Haider

2019

Materials

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The study of propagating, evanescent and complex wavenumbers of guided waves (GWs) in high-performance composites using a stable and robust semi-analytical finite element (SAFE) method is presented. To facilitate understanding of the wavenumber trajectories, an incremental material change study is performed moving gradually from isotropic aluminum alloy to carbon fiber reinforced polymer (CFRP) composites. The SAFE results for an isotropic aluminum alloy plate are compared with the exact analytical solutions, which shows that N = 20 SAFE elements across the thickness provides <0.5% error in the highest evanescent wavenumber for the given frequency-wavenumber range. The material change study reveals that reducing the transverse and shear moduli moves the wavenumber solution towards one similar to composite material. The comparison of the propagating, evanescent and complex wavenumber trajectories between composites and aluminum alloy show that antisymmetric imaginary Lamb wave modes always exist in composites although they may not exist in isotropic aluminum alloy at some frequencies. The wavenumber trajectories for a unidirectional CFRP plate show that the range of real wavenumber is much smaller than in the isotropic aluminum alloy. For laminated CFRP composite plates (e.g., unidirectional, off-axis, transverse, cross-ply and quasi-isotropic laminates), the quasi Lamb wave and shear horizontal (SH) wave trajectories are also identified and discussed. The imaginary SH wave trajectories in laminated composites are distorted due to the presence of ±45 plies. The convergence study of the SAFE method in various CFRP laminates indicates that sufficient accuracy can always be achieved by increasing the number of SAFE elements. Future work will address the stress-continuity between composite layers.

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Section: Calculation Of Guided-wave Dispersion Curves In Compositementioning

confidence: 99%

Propagating, Evanescent, and Complex Wavenumber Guided Waves in High-Performance Composites

Giurgiutiu

Haider

2019

Materials

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Guided Wave Testing

Fromme

2018

Handbook of Advanced Non-Destructive Evaluation

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Scattering of the Fundamental Lamb Modes in Bent Metallic Plates

Joglekar

2022

Journal of Applied Mechanics

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Guided elastic waves, propagating through curved waveguides, have attracted significant attention in the recent past; both from the perspectives of assessment of structural integrity and generating novel designs of acoustic waveguides. This paper presents investigation of the interaction of the fundamental Lamb modes with a cylindrical bend in thin metallic plates. A hybrid numerical method is exposited which combines the computational efficacy of the Semi Analytical Finite Element method in modeling the long straight portions of the plate and the versatility of the conventional Finite Element method in modeling the bent portion. The predictive capabilities of the proposed method are validated using transient finite element simulations. Appropriate modifications to the hybrid method, needed for simulating the multimodal incidence resulting from the point-force actuation, are discussed. Using the hybrid method, the scattering and mode-conversion behavior, imparted by the cylindrical bend, is studied when the two fundamental Lamb modes are used as the incident interrogation signals. The extents of equi-modal and cross-modal contributions in both; the reflected as well as transmitted waveforms are quantified in terms of the respective modal energy ratios. Explicable contour charts are presented for comprehending the scattering behavior over a wide range of frequencies and bend angles that span from zero degrees to 180 degrees. For two representative cases the modal displacement patterns inside the bend region are presented and discussed. The present investigation can find its potential use in the analysis of geometrically irregular structures leading to the design of novel acoustic waveguides.

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Aspects of a Hybrid Analytical Finite Element Method Approach for Ultrasonic Guided Wave Inspection Design

Cited by 3 publications

References 8 publications

Propagating, Evanescent, and Complex Wavenumber Guided Waves in High-Performance Composites

Propagating, Evanescent, and Complex Wavenumber Guided Waves in High-Performance Composites

Guided Wave Testing

Scattering of the Fundamental Lamb Modes in Bent Metallic Plates

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