Dispersion curves and identification of elastic wave modes for fiber metal laminates

Muc, Aleksander; Barski, Marek; Stawiarski, Adam; Chwał, Małgorzata; Augustyn, Marcin

doi:10.1016/j.compstruct.2020.112930

Cited by 12 publications

(11 citation statements)

References 35 publications

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“…Due to the high impedance changes between the metal and FRP perpendicular to the fiber orientation, this might also be an issue for the wave propagation in FML. First investigations reveal that in structures formed of aluminum and glass fiber-reinforced polymer (GFRP) layers, the wave propagation meets the framework of GUW in thin-walled structures [25][26][27][28]. However, no further material combination is analyzed.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction

et al. 2022

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Guided ultrasonic waves are suitable for use in the context of structural health monitoring of thin-walled, plate-like structures. Hence, observing the wave propagation in the plates can provide an indication of whether damage has occurred in the structure. In this work, the wave propagation in fiber metal laminate consisting of thin steel foils and layers of carbon fiber-reinforced polymer is studied, focusing on the main propagation characteristics like dispersion diagrams and displacement fields. For this purpose, the dispersion diagrams derived from the analytical framework and numerical simulations are first determined and compared to each other. Next, the displacement fields are computed using the global matrix method for two excitation frequencies. The results derived from the analytical framework is used to validate the numerically determined displacement fields based on a 2D and a 3D modeling approach. For both investigations the results of the analytical treatment and the numerical simulation show good agreement. Furthermore, the displacement field reveals the typical and well-known characteristics of the propagation of guided waves in thin-walled structures. Since the use of full 3D models involves a very high computational cost, this work also successfully investigates the possibility for model order reduction to decrease the computational time and costs of the simulation without the loss of accuracy.

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Section: Introductionmentioning

confidence: 99%

Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction

et al. 2022

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“…The validation is done using ABAQUS and the transfer matrix method at a single frequency of 100 kHz. Another investigation by Muc et al [15] addresses the numerical determination of dispersion diagrams in FML using the stiffness matrix method and FEM. Laminates made of aluminum and carbon fiber-reinforced polymer (CFRP) as well as aluminum and glass fiber reinforced polymer (GFRP) are investigated.…”

Section: Introductionmentioning

confidence: 99%

Experimental determination of Lamb wave dispersion diagrams over large frequency ranges in fiber metal laminates

Barth¹,

Wiedemann²,

Roloff³

et al. 2022

Preprint

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Fiber metal laminates (FML) are of high interest for lightweight structures as they combine the advantageous material properties of metals and fiber-reinforced polymers. However, lowvelocity impacts can lead to complex internal damage. Therefore, structural health monitoring (SHM) with guided ultrasonic waves, in this case, referred to as Lamb waves, is an approach to identify such damage. Numerical simulations form the basis for corresponding investigations, but experimental validation of propagation diagrams over a wide frequency range is hardly found in the literature. In this work the dispersive relation of Lamb waves is experimentally determined for an FML made of carbon fiber-reinforced polymer and steel. For this purpose, a multi-frequency excitation is used to generate Lamb waves and the resulting wave field is measured via laser scanning vibrometry. The data are processed by means of a non-uniform discrete 2d Fourier transform and analyzed in the frequency-wavenumber domain. The experimental data are in good agreement with data from a numerical solution of the analytical framework. In conclusion, this work presents a highly automatable method to experimentally determine dispersion diagrams of Lamb waves in FML over large frequency ranges with high accuracy and reproducibility.

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“…Many researchers have used finite element (FE) simulations to investigate the wave propagation problems. [34][35][36][37][38][39][40][41][42] For example, Alleyne and Cawley 35 assessed the interaction of the Lamb waves and defects in plate-like structures using FE simulations. They showed that different parameters affect the sensitivity of Lamb waves to defects, including the geometry of the plate, wave mode, wave frequency-thickness, and the type of the notch defect.…”

Section: Introductionmentioning

confidence: 99%

“…The finite element method (FEM) is the most stable numerical solution technique to study the characteristics of wave propagation in different structures. Many researchers have used finite element (FE) simulations to investigate the wave propagation problems 34–42 . For example, Alleyne and Cawley 35 assessed the interaction of the Lamb waves and defects in plate‐like structures using FE simulations.…”

Section: Introductionmentioning

confidence: 99%

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Detection and characterization of matrix cracking in fiber‐metal laminates using Lamb wave propagation

Fattahi

Ramezani

Shokrieh

et al. 2022

Structural Contr & Hlth

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The purpose of the present study was to assess the capability of finite element (FE) simulations of guided Lamb wave propagation for the characterization of the modulus of fiber-metal laminates (FMLs) and detection of the matrix cracking in them. An FE model of an FML specimen with a [Al/90 2 /Al/ 90 2 /Al] layup was developed. The matrix cracking with different densities was also induced in the fiber-reinforced composite layers of the FML model. The fundamental antisymmetric Lamb wave mode was propagated on the developed model at frequencies from 50 to 300 kHz. The Lamb wave velocity was obtained from the FE models at different frequencies. Then, the inverse Lamb wave propagation problem was solved and the elastic modulus of the simulated FML specimen was estimated. An experimental program was conducted to evaluate the results of FE simulations. The FML specimens with the same layup and materials were fabricated and underwent the tensile and Lamb wave propagation tests. The average elastic moduli of the specimens obtained from the tests, classical lamination theory, and FE simulations were in good agreement, especially at low frequencies. It was observed that the sensitivity of the Lamb wave velocity to matrix cracks was higher at high frequencies.

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Dispersion curves and identification of elastic wave modes for fiber metal laminates

Cited by 12 publications

References 35 publications

Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction

Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction

Experimental determination of Lamb wave dispersion diagrams over large frequency ranges in fiber metal laminates

Detection and characterization of matrix cracking in fiber‐metal laminates using Lamb wave propagation

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