Effective high-order approximations of layered coatings and linings of anisotropic elastic, viscoelastic and nematic materials

Zakharov, D. D.

doi:10.1016/j.jappmathmech.2010.07.004

Cited by 8 publications

(6 citation statements)

References 28 publications

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“…At very low frequencies the plate behaves like a one-layer traditional plate while taking into account the additional mass of the nematic layer: ρ * = 2 (ρH + ρ N h). To approximate this behavior for higher frequency let us use the asymptotic model of coating suggested in [35,36]. This replaces the action of coating by special impedance boundary conditions on the interface and permits one to come close to the vicinity of first quasi-resonance of the system which is expected to be close to the resonance of coating.…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

“…The bending stiffnesses d αβ are evaluated for the traditional core only. Under stress-free upper surface of coating, the interface stresses are related to the interface displacements as follows [35,36]…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

“…and taking into account n terms from (26), (27) we neglect the terms of the order O ( N ) n . With the same notation as used in [35,36] we have…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

“…LG −1 0 , where the numbers in round brackets denote the rows (upper numbers) and columns (lower numbers) of a 6 × 6 matrix c αβ whose elements form the minors G 0 , G * , G ⊥ , G || , etc. Other operators in ( 26), ( 27) look more cumbersome and can be found in [36]. The relations ( 25)-( 27) result in the following modification of the model ( 20)-( 22)…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

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.

show abstract

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

“…and taking into account n terms from (26), (27) we neglect the terms of the order O ( N ) n . With the same notation as used in [35,36] we have…”

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

Section: Approximate Modeling Of Coating and Edge Wave Analysismentioning

confidence: 99%

See 2 more Smart Citations

Surface and edge waves in solids with nematic coating

Zakharov

2011

Mathematics and Mechanics of Solids

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“…wave by a doubly periodic structure using the finite element method: Application to Alberich anechoic coatings, Journal of Acoustical Society of America, Vol.90 (6), p.3356-3367. 15-Ivansson, S., (2005)…”

mentioning

confidence: 99%

Numerical Analyzing of the Cavity Scatterer Effect on the Acoustic Performance of Echo Reducing Layers with Doubly Periodic Distribution Using FEM

Sohrabi

Ketabdari

2020

marine-engineering

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The echo reduction of an underwater vessel is one of the major concerns of its concealing problem. Recently, using scatterers in the doubly periodic distribution has attracted enormous interest. This is because of their relatively good performance and the ability to tune in the effective frequency range. In this study, a model of an acoustic echo reducing coating with internal scatterer cavities is considered. Subsequently, the major parameters that affected the acoustical performance of the layer, such as the size, the number and the location of cavities along with the thickness, for two types of spherical and cylindrical cavity geometries, were analyzed and presented. The results showed that in the layer, the larger the cavity size, the greater the echo reduction effect. Regarding the lattice constants, considering the smaller one, decays the echo reduction. However, will increase transmission loss. Also, the location of the cavity, if close to the wave entry plane, demonstrates a better echo reduction effect.

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Methodology of Investigations of the Thermal Stressed State of Bodies with Thin Multilayer Coatings

Shevchuk

2024

J Math Sci

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Effective high-order approximations of layered coatings and linings of anisotropic elastic, viscoelastic and nematic materials

Cited by 8 publications

References 28 publications

Surface and edge waves in solids with nematic coating

Surface and edge waves in solids with nematic coating

Numerical Analyzing of the Cavity Scatterer Effect on the Acoustic Performance of Echo Reducing Layers with Doubly Periodic Distribution Using FEM

Methodology of Investigations of the Thermal Stressed State of Bodies with Thin Multilayer Coatings

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