Modelling of the high-frequency fundamental symmetric Lamb wave using a new boundary element formulation

Li, Jun; Khodaei, Zahra Sharif; Aliabadi, M.H.

doi:10.1016/j.ijmecsci.2019.02.045

Cited by 14 publications

(9 citation statements)

References 52 publications

(77 reference statements)

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“…In contrast to domain-discretized methods, boundary element meshing is only limited to the boundary of a domain with the help of fundamental solutions and as a result significant reduction in the degrees of freedom is achieved. This advantage has also been shown in the modelling of ultrasonic Lamb waves [7], which is particularly attractive for high-frequency cases.…”

Section: Introductionmentioning

confidence: 85%

Boundary element modelling of ultrasonic Lamb waves for structural health monitoring

Khodaei

Aliabadi

2020

Smart Mater. Struct.

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In this paper, a novel boundary element plate formulation is proposed to model ultrasonic Lamb waves in both pristine and cracked plates for structural health monitoring (SHM) applications. Lamb waves are generated and sensed by piezoelectric discs. An equivalent pin-force model is newly proposed to represent the actuation effect of piezoelectric discs, which is more accurate than the classical pin-force model. The boundary element formulation is presented in the Laplace-transform domain based on plate theories, which allows three-dimensional analysis of Lamb wave behaviours, such as propagation and interaction with cracks, in thin-walled structures. A damage detection algorithm is used for crack localization alongside the BEM-simulated data. The BEM solutions show excellent agreement with both 3D finite element simulation and experimental results.

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Section: Introductionmentioning

confidence: 85%

Boundary element modelling of ultrasonic Lamb waves for structural health monitoring

Khodaei

Aliabadi

2020

Smart Mater. Struct.

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“…The corresponding singular integrals in these boundary integral equations were calculated using the techniques introduced in Refs. [16,17,19].…”

Section: The Dual Boundary Integral Equations In the Laplace Transformentioning

confidence: 99%

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

Khodaei

2019

KEM

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The purpose of this paper is to solve dynamic fracture problems of plates under both tension and bending using the boundary element method (BEM). The dynamic problems were solved in the Laplace-transform domain, which avoided the calculation of the domain integrals resulting from the inertial terms. The dual boundary element method, in which both displacement and traction boundary integral equations are utilized, was applied to the modelling of cracks. The dynamic fracture analysis of a plate under combined tension and bending loads was conducted using the BEM formulations for the generalized plane stress theory and Mindlin plate bending theory. Dynamic stress intensity factors were estimated based on the crack opening displacements.

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“…Various computational techniques have been developed for generating the needed theoretical dispersion curves, including analytical methods employing matrix strategies (e.g., the transfer matrix method from Thomson 15 , Haskell 16 , and Lowe 17 , the stiffness matrix method from Kausel and Roësset 18 , Kausel and Peek 19 , and Kausel 20 or numerical methods such as finite element (FE) simulations [21][22][23][24] and boundary element simulations 25 . The numerical methods can handle material and geometric complexities to more closely model real-world test conditions compared with the analytical approaches; however, use of the numerical methods is usually constrained by their computational costs and the need to purchase commercial software.…”

Section: Introductionmentioning

confidence: 99%

Analytical computation of the dominant dispersion trend of Lamb waves in plate‐like structures with an improved dynamic stiffness matrix method

Lin

Ashlock

Shams

et al. 2022

Structural Contr & Hlth

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Lamb waves have infinite number dispersion modes; however, no every mode is excitable and detectable. Traditional matrix methods can calculate the dispersion curve of each mode over the full range of possible frequencies. However, the resulting numerically calculated multimodal dispersion curves do not fully represent the dispersion curves measured in real experiments, which are most often dominated by energy from specific modes. An improved dynamic stiffness matrix method is proposed herein to overcome such challenges of the traditional matrix methods. The first step of the improved method is to calculate the displacement response of a plate-like structure under a vertical dynamic loading using the global stiffness matrix of the structure, then the dominant dispersion trend is extracted from the displacement using the phasevelocity scanning scheme. The improved method is verified with three case studies representing typical plate-like structures in structural engineering. The results demonstrate that dispersion trends calculated with the improved method have good agreement with those obtained from experimental measurements.

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Modelling of the high-frequency fundamental symmetric Lamb wave using a new boundary element formulation

Cited by 14 publications

References 52 publications

Boundary element modelling of ultrasonic Lamb waves for structural health monitoring

Boundary element modelling of ultrasonic Lamb waves for structural health monitoring

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

Analytical computation of the dominant dispersion trend of Lamb waves in plate‐like structures with an improved dynamic stiffness matrix method

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