Observation of bulk strain solitons in layered bars of different materials

Dreiden, G. V.; Samsonov, A. M.; Семенова, И. В.

doi:10.1134/s1063785014120220

Cited by 13 publications

(9 citation statements)

References 4 publications

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“…The existence of longitudinal bulk strain solitons in these solid waveguides, predicted by the model equations, was confirmed by experiments [7][8][9]. Very recently the theoretical and experimental studies were extended to some types of adhesively bonded layered bars [10][11][12][13][14] and thin-walled cylindrical shells [15].…”

Section: Introductionmentioning

confidence: 55%

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Modelling of nonlinear wave scattering in a delaminated elastic bar

Хуснутдинова¹,

Tranter²

2015

Proc. R. Soc. A.

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Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the quality of layered structures? In this paper, we numerically model the dynamics of a long longitudinal strain solitary wave in a split, symmetric layered bar. The recently developed analytical approach, based on matching two asymptotic multiple-scales expansions and the integrability theory of the Korteweg–de Vries equation by the inverse scattering transform, is used to develop an effective semi-analytical numerical approach for these types of problems. We also employ a direct finite-difference method and compare the numerical results with each other, and with the analytical predictions. The numerical modelling confirms that delamination causes fission of an incident solitary wave and, thus, can be used to detect the defect.

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Section: Introductionmentioning

confidence: 55%

“…We are looking for the leading order transmitted wave satisfying 14) and higher order corrections are given by…”

Section: Derivation Of Kdv Equationsmentioning

confidence: 99%

Modelling of nonlinear wave scattering in a delaminated elastic bar

Хуснутдинова¹,

Tranter²

2015

Proc. R. Soc. A.

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“…Typical values of elastic moduli for the PMMA (polymethylmethacrylate) and PS (polystyrene) and experimental data for solitons in layered PMMA/PS bars of 10 × 10 mm cross-section have been reported previously. 24,46 The typical amplitude of the strain for the observed compression solitary waves is O 10 −4 , and the soliton velocity is about 5−7% greater than the linear longitudinal wave speed. 23 It has been reported that, in PMMA and PS, solitons can propagate to distances tens of times greater than their width without significant decay.…”

Section: Discussionmentioning

confidence: 97%

On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations

Хуснутдинова

Tranter

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We study the scattering of a long longitudinal radiating bulk strain solitary wave in the delaminated area of a two-layered elastic structure with soft ("imperfect") bonding between the layers within the scope of the coupled Boussinesq equations. The direct numerical modelling of this and similar problems is challenging and has natural limitations. We develop a semi-analytical approach, based on the use of several matched asymptotic multiple-scale expansions and averaging with respect to the fast space variable, leading to the coupled Ostrovsky equations in bonded regions and uncoupled Korteweg-de Vries equations in the delaminated region. We show that the semi-analytical approach agrees well with direct numerical simulations and use it to study the nonlinear dynamics and scattering of the radiating solitary wave in a wide range of bi-layers with delamination. The results indicate that radiating solitary waves could help us to control the integrity of layered structures with imperfect interfaces.

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“…Note that the reported holographic arrangement operates with transparent specimens only. To perform wave detection in opaque materials, as all composites are, we recently suggested an approach allowing for indirect recording of strain waves in opaque materials by monitoring phase shift gradients in a layer of transparent material adhesively bonded to the layer made of the material of interest [42,43]. As shown in [42], in a layered bar made of two different materials a single soliton is formed, the amplitude and width of which depend upon elastic properties of the corresponding materials.…”

Section: Generation and Monitoring Of Non-linear Strain Wavesmentioning

confidence: 99%

“…To perform wave detection in opaque materials, as all composites are, we recently suggested an approach allowing for indirect recording of strain waves in opaque materials by monitoring phase shift gradients in a layer of transparent material adhesively bonded to the layer made of the material of interest [42,43]. As shown in [42], in a layered bar made of two different materials a single soliton is formed, the amplitude and width of which depend upon elastic properties of the corresponding materials. As shown in [43] the soliton velocity measured in such a sandwich waveguide in one of the layers equals the arithmetic mean of soliton velocities in waveguides of the same geometry but made of each of the materials.…”

Section: Generation and Monitoring Of Non-linear Strain Wavesmentioning

confidence: 99%

Polystyrene-Based Nanocomposites with Different Fillers: Fabrication and Mechanical Properties

et al. 2020

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The paper presents a comprehensive analysis of the elastic properties of polystyrene-based nanocomposites filled with different types of inclusions: small spherical particles (SiO2 and Al2O3), alumosilicates (montmorillonite, halloysite natural tubules and mica), and carbon nanofillers (carbon black and multi-walled carbon nanotubes). Block samples of composites with different filler concentrations were fabricated by melt technology, and their linear and non-linear elastic properties were studied. The introduction of more rigid particles led to a more profound increase in the elastic modulus of a composite, with the highest rise of about 80% obtained with carbon fillers. Non-linear elastic moduli of composites were shown to be more sensitive to addition of filler particles to the polymer matrix than linear ones. A non-linearity modulus βs comprising the combination of linear and non-linear elastic moduli of a material demonstrated considerable changes correlating with those of the Young’s modulus. The changes in non-linear elasticity of fabricated composites were compared with parameters of bulk non-linear strain waves propagating in them. Variations of wave velocity and decay decrement correlated with the observed enhancement of materials’ non-linearity.

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Observation of bulk strain solitons in layered bars of different materials

Cited by 13 publications

References 4 publications

Modelling of nonlinear wave scattering in a delaminated elastic bar

Modelling of nonlinear wave scattering in a delaminated elastic bar

On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations

Polystyrene-Based Nanocomposites with Different Fillers: Fabrication and Mechanical Properties

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