Effect of nematic coating on fundamental mode propagation in layered elastic plates

Zakharov, D. D.; Kaptsov, Alexander V.

doi:10.1134/s1063771011010192

Cited by 6 publications

(3 citation statements)

References 16 publications

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“…The resonance effects discussed also occur in the coated plates. The propagation of the fundamental A0 and S0 modes are considered in detail in [21].…”

Section: Quasi-love Wave (L)mentioning

confidence: 99%

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Surface and edge waves in solids with nematic coating

Zakharov

2011

Mathematics and Mechanics of Solids

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Localized waves near the stress-free surface or the free edge of a solid with a thin nematic coating are investigated. The nematic media is described using an approximate linear low-frequency model. Being a non-traditional material this medium possesses a strong anisotropy of elastic and viscous properties and some additional freedom caused by the long polymer chain and molecules. As shown, the specific wave phenomena, observed earlier in the infinite nematic media, in the case of a coating with finite thickness lead to the appearance of the quasi-resonance zones where the phase speed and the attenuation of waves in heterogeneous composites are strongly perturbed.

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“…The resonance effects discussed also occur in the coated plates. The propagation of the fundamental A0 and S0 modes are considered in detail in [21].…”

Section: Quasi-love Wave (L)mentioning

confidence: 99%

“…So, we seek for the numerical solutions , λ 1 , λ 2 of the system of Equations ( 28), (29) as functions of N , and follow the similar branches of roots (20), (21).…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

Surface and edge waves in solids with nematic coating

Zakharov

2011

Mathematics and Mechanics of Solids

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“…Singh [23] obtained reflection coefficients of homogeneous elastic waves from a free surface of NE half-space. Considering a combination of traditional elastic material with thin NE coating, the phase velocities and attenuation of waves in these composite models have been studied by Zakharov and Kaptsov [24] and Zakharov [25,26]. Yang et al [27] investigated Rayleigh wave propagation in nematic elastomer half-space.…”

Section: Introductionmentioning

confidence: 99%

Effects of director rotation relaxation on viscoelastic wave dispersion in nematic elastomer beams

Zhao

Liu

2018

Mathematics and Mechanics of Solids

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In this paper, the transverse wave dispersion in a nematic elastomer (NE) Timoshenko beam is studied by considering anisotropy and viscoelasticity of NEs in the low frequency limit. Firstly, the characteristic equations of wave motion in an NE beam are derived, and then numerically solved to obtain the corresponding phase velocities and attenuation factors. The influences of anisotropic parameter, director rotation and rubber relaxation times on the wave dispersion in an NE beam are discussed. Results show that unlike the situation in general isotropic viscoelastic beam, non-classical viscoelastic wave dispersion is found in NE beams. Geometric dispersion is restrained with the vanishing of cut-off frequencies for shear waves due to director rotation relaxation of NEs. This unique property promises prospective applications of NE beams in optic or acoustic design.

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On Rayleigh-type surface wave in incompressible nematic elastomers

Singh¹

2022

Acta Mech

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Effect of nematic coating on fundamental mode propagation in layered elastic plates

Cited by 6 publications

References 16 publications

Surface and edge waves in solids with nematic coating

Surface and edge waves in solids with nematic coating

Effects of director rotation relaxation on viscoelastic wave dispersion in nematic elastomer beams

On Rayleigh-type surface wave in incompressible nematic elastomers

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