Experimental validation of the applicability of effective spring boundary conditions for modelling damaged interfaces in laminate structures

Golub, Mikhail V.; Doroshenko, Olga V.; Wilde, Maria; Eremin, Artem

doi:10.1016/j.compstruct.2021.114141

Cited by 15 publications

(13 citation statements)

References 35 publications

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“…Table 1 presents the material properties used further for numerics. [34] 1248 1.7 0.4 Silicone rubber [35] 1150 3.1 0.48 Two-component epoxy adhesive [36] 1345 2.75 0.35 Two-sided epoxy tape [37] 930 0.5 0.4…”

Section: Mathematical Modelling 21 Exact Statement Of Boundary Value ...mentioning

confidence: 99%

“…Introducing (37) in (33) and (34), we obtain the third lines in (41) and (38), respectively. Thus, all the next modes can be approximately considered as couples of modes of the single 2mm-thickness aluminium layer (see an example of this behaviour in Figure 5).…”

Section: Main Properties Of Dispersion Curves and Vibration Formsmentioning

confidence: 99%

“…Notice, that the accuracy of this scheme depends on the values of parameters (39) and (42). The asymptotic behaviour (37) is not applicable in the vicinities of the thickness resonance frequencies (see [38]). These vicinities are rather narrow, so they are not considered in the present work.…”

Section: Main Properties Of Dispersion Curves and Vibration Formsmentioning

confidence: 99%

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Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

2022

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Laminate structures composed of stiff plates and thin soft interlayers are widely used in aerospace, automotive and civil engineering encouraging the development of reliable non-destructive strategies for their condition assessment. In the paper, elastodynamic behaviour of such laminate structures is investigated with emphasis on its application in ultrasonic based NDT and SHM for the identification of interlayer mechanical and interfacial contact properties. A particular attention is given to the practically important frequency range, in which the wavelength considerably exceeds the thickness of the film. Three layer model with spring-type boundary conditions employed for imperfect contact simulation is used for numerical investigation. Novel effective boundary conditions are derived via asymptotic expansion technique and used for analysis of the peculiar properties of elastic guided waves in considered laminates. It is revealed that the thin and soft film influences the behaviour of the laminate mainly via the effective stiffnesses being a combination of the elastic moduli of the film, its thickness and interface stiffnesses. To evaluate each of these parameters separately (or to figure out that the available experimental data are insufficient), a step-wise procedure employing the effective boundary conditions is proposed and tested versus the laser Doppler vibrometry data for Lamb waves in Aluminium/Polymer film/Alumunium structure. A good agreement between theoretical and experimental data is demonstrated for a certain symmetric laminate specimen. The possibility of using film-related thickness resonance frequencies to estimate the film properties and contact quality is also demonstrated. Additionally, the rich family of edge waves is also investigated, and the splitting of fundamental edge waves into pairs is revealed.

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Section: Mathematical Modelling 21 Exact Statement Of Boundary Value ...mentioning

confidence: 99%

Section: Main Properties Of Dispersion Curves and Vibration Formsmentioning

confidence: 99%

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Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

2022

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“…As a result, an eigenvalue problem is formulated, which is reduced to the dispersion equation D(k, ω) = 0 and solved numerically following [33]. [34] 1248 1.7 0.4 Silicone rubber [35] 1150 3.1 0.48 Two-component epoxy adhesive [36] 1345 2.75 0.35 Two-sided epoxy tape [37] 930 0.5 0.4…”

Section: Introduction 22mentioning

confidence: 99%

“…Consequently, the influence of the elastic constraint on symmetric modes of the laminate is stronger than that on the antisymmetric ones. For the symmetric mode of the laminate considered as a couple of antisymmetric modes a 0 we introduce (36) in (34) and obtain Introducing (37) in (33) and (34), we obtain the third lines in (41) and (38), respec-257 tively. Thus, all the next modes can be approximately considered as couples of modes of 258 the single 2mm-thickness aluminium layer (see an example of this behaviour in Figure 259 5).…”

mentioning

confidence: 99%

Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

Wilde¹,

Golub²,

Eremin³

2022

Preprint

Self Cite

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Laminate structures composed of stiff plates and thin soft interlayers are widely used in aerospace, automotive and civil engineering encouraging the development of reliable non-destructive strategies for their condition assessment. In the paper, elastodynamic behaviour of such laminate structures is investigated with emphasis on its application in ultrasonic based NDT and SHM for the identification of interlayer mechanical and interfacial contact properties. A particular attention is given to the practically important frequency range, in which the wavelength considerably exceeds the thickness of the film. Three layer model with spring-type boundary conditions employed for imperfect contact simulation is used for numerical investigation. Novel effective boundary conditions are derived via asymptotic expansion technique and used for analysis of the peculiar properties of elastic guided waves in considered laminates. It is revealed that the thin and soft film influences the behaviour of the laminate mainly via the effective stiffnesses being a combination of the elastic moduli of the film, its thickness and interface stiffnesses. To evaluate each of these parameters separately (or to figure out that the available experimental data are insufficient), a step-wise procedure employing the effective boundary conditions is proposed and tested versus the laser Doppler vibrometry data for Lamb waves in Aluminium/Polymer film/Alumunium structure. The possibility of using film-related thickness resonance frequencies to estimate the film properties and contact quality is also demonstrated. Additionally, the rich family of edge waves is also investigated, and the splitting of fundamental edge waves into pairs is revealed.

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Analysis of in-plane crack problems using the localized method of fundamental solutions

Golub

Fan

2021

Engineering Fracture Mechanics

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Experimental validation of the applicability of effective spring boundary conditions for modelling damaged interfaces in laminate structures

Cited by 15 publications

References 35 publications

Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment

Analysis of in-plane crack problems using the localized method of fundamental solutions

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