A spectral finite element for wave propagation and structural diagnostic analysis of composite beam with transverse crack

Kumar, D. Sreekanth; Mahapatra, D. Roy; Gopalakrishnan, S.

doi:10.1016/j.finel.2004.01.001

Cited by 35 publications

(6 citation statements)

References 35 publications

(52 reference statements)

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“…The simulated data were fed to a neural network to estimate the damage severity. Kumar et al 20,28 developed a frequency-domain spectral finite element embedding a transverse crack modeled semi-analytically for simulating wave scattering considering composite laminate first-order shear deformation theory. Mahapatra et al 19 proposed a data compression and neural network-based acoustic emission to estimate the matrix crack-induced material degradation.…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic guided waves through Coalesence of matrix cracks and delaminations in laminated composites

Munian

Mahapatra

2023

Journal of Composite Materials

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Composite fabric-matrix interface mismatch during manufacturing and applied loads cause matrix micro-cracks and their evolution toward interface delamination and stiffness reduction. Fatigue and impact loads can grow these matrix cracks further as early damage precursors, which are not easily detectable. We simulate ultrasonic guided wave propagation in laminated composite with matrix crack mixed delamination site to understand better detection possibilities for these damage precursors using the ultrasonic inspection method. Since extremely small wavelength ultrasonic waves attenuate rapidly in composites, whereas long wavelength guided waves may not produce high sensitivity to small-scale defects, therefore we attempt to analyze super-resolution quantitative scheme with suitable frequencies to correlate defect parameters. We employ a time-domain spectral finite element method for fast computation of high-frequency wavefield while accurately resolving the matrix crack-delamination geometric features. Its high-order field interpolation enables us to model the nearfield interactions of the waves with the transverse micro-cracks and further with an evolved macro-scale delamination. The computational scheme is aimed to scale to complex defect local field simulations and cover larger size composite structures. This is achieved due to a mathematically consistent diagonalized mass matrix property which makes the implicit time marching-based computation highly efficient for highly resolved and large-size finite element systems. The transient dynamic stress field around the cracks modulates the guided wave mode packets. We analyze the characteristics of the signal sensitivities due to the defect features, most notably, an interesting correlation between matrix crack density and frequency modulation or sub-band contribution. Wave interaction with the defect region creates weak but distinct reflection patterns while transmitting through the region. The study provides useful and new understanding towards defect size estimation and indicative measure of thickness wise layers of matrix cracks and its coalescence into delamination in terms of energy spectral density of the sub-bands.

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Section: Introductionmentioning

confidence: 99%

Ultrasonic guided waves through Coalesence of matrix cracks and delaminations in laminated composites

Munian

Mahapatra

2023

Journal of Composite Materials

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“…The calculation of the scattering coefficients and the dynamic response of composite structures have been investigated using various numerical methods, including the spectral finite element method, [26][27][28][29] an enriched finite element method 30 and finite element method. 20,[31][32][33] The Finite Element Method is the most popular numerical tool to analyze wave propagation in discontinuous domains.…”

Section: Introductionmentioning

confidence: 99%

Progressive failure analysis on composite structures using a wave based method

Mallouli,

Ben Souf,

Bareille

et al. 2023

Journal of Composite Materials

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This research examines a Progressive Damage Model for laminated composites using a wave-based technique. Using conventional numerical methodologies, such studies may require a significant amount of CPU time. Compared to standard techniques, the approach proposed can provide a quick and cost-effective evaluation. This work presents a numerical approach for dealing with periodic media subjected to an impact load that can provide damage initiate and evolution. The proposed model is based on a hybrid formulation for the wave-damage interaction that describes wave scatterings, as well as a stress analysis of a composite structure subjected to an impact force. The failure analysis is carried out by identifying the damage location and then describing the modification of the material properties of the damaged elements using Hashin’s failure criteria and material property degradation rules. A comparison of stress distribution with results from the conventional finite element approach was performed in order to confirm the hybrid WFE/FE method, and good agreement was noted. Finally, an impact on a composite beam was studied. The evolution of the structural failure is presented. This article takes into consideration material degradation over time.

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“…A numerical study based on the scaled boundary finite element method was also presented in [9], while symmetric notches were studied in [10], where a technique to separate the fundamental wave mode contribution in the scattered waves at low frequency was proposed. Composite beams with a transverse crack were also investigated in [11] using a spectral finite element method. Amongst the methods based on FE discretisation that could be used to investigate wave scattering problems, the wave finite element (WFE) method [12,13] has several desirable features.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering from discontinuities related to corrosion-like damage in one-dimensional waveguides

Takiuti

Manconi

Brennan

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Guided waves at high frequency are used in structural health monitoring systems to detect damage. The successful application of the technique, however, requires a deep understanding of wave mode propagation and scattering, as this allows the correct choice of frequency range and wave types to be used to interrogate the structure. Often, this is not the case and systems are developed in an ad hoc way. There is, thus, a greater need to understand the way in which guided waves interact with, and are scattered by, damage. This paper aims to contribute to knowledge in this area. A wave finite element method is applied in a study of wave scattering from symmetric and asymmetric changes of cross-sectional area over a finite length in a waveguide, which are intended to be crude models of corrosion damage. To facilitate analysis of the results, Lamb wave scattering is first investigated in such a system for a point discontinuity involving a change in cross-sectional area. The wave scattering characteristics are evaluated by using the time-averaged kinetic energy of the reflected and transmitted wave fields considering components in the vertical and horizontal directions. This, together with the traditionally used displacement and energy flow coefficients, allows an investigation into the rich wave scattering behaviour due to multi-mode behaviour and wave mode conversion which can complicate the interpretation of the results. In particular, it is shown that care needs to be taken in the interpretation of a sudden increase in the amplitude of a reflected wave from damage. At certain frequencies, this can be due to evanescent waves starting to propagate, rather than an increase in the severity of the damage.

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A spectral finite element for wave propagation and structural diagnostic analysis of composite beam with transverse crack

Cited by 35 publications

References 35 publications

Ultrasonic guided waves through Coalesence of matrix cracks and delaminations in laminated composites

Ultrasonic guided waves through Coalesence of matrix cracks and delaminations in laminated composites

Progressive failure analysis on composite structures using a wave based method

Wave scattering from discontinuities related to corrosion-like damage in one-dimensional waveguides

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