On the dispersion of the axisymmetric longitudinal wave propagating in a bi-layered hollow cylinder made of viscoelastic materials

Akbarov, S. D.; Koçal, Tarık; Kepceler, Tamer

doi:10.1016/j.ijsolstr.2016.08.016

Cited by 7 publications

(11 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For detailed illustration of the foregoing algorithm we consider the cases where d (1) = d (2) = 25 and d (1)…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…are determined from the corresponding equations given, for instance, in the paper by Akbarov et al [1].…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…According to the review made in the papers by Akbarov et al [1,2] and Kocal and Akbarov [3] almost all investigations related to the wave dispersion in the elements of constructions made of viscoelastic materials have been made within the scope of the simplest Voigt model or within the scope of the hysteretic (nondispersive attenuation) model.…”

Section: Introductionmentioning

confidence: 99%

“…As an example for the mentioned complicated and real model, the model based on fractional exponential operators, developed by Rabotnov [4], can be taken. The attempts in this field have been made in the work of Akbarov et al [1,2] and Kocal and Akbarov [3] in the first two of which the dispersion of the axisymmetric longitudinal waves in bi-layered hollow and solid cylinders for the given attenuation case is investigated. However, in the third paper of the authors the attenuation of the axisymmetric longitudinal waves in the bi-layered hollow cylinder is investigated for given dispersion cases.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The Influence of the Viscoelasticity on the Axisymmetric Wave Attenuation in a bi-Material Solid Cylinder

Koçal

Akbarov

2018

Acta Phys. Pol. A

Self Cite

View full text Add to dashboard Cite

This paper studies the attenuation of the axisymmetric longitudinal waves propagating in a bi-material compound solid cylinder made of viscoelastic materials, the constitutive relations of which are described by utilizing the fractional exponential operators of Rabotnov. Rheological parameters are introduced and through these parameters the influence of the material viscosity on the attenuation coefficient of the propagating waves is investigated. Numerical results of the attenuation dispersion and the corresponding dispersion curves are presented and discussed. In particular, it is established that the dependence between the coefficient of attenuation and a certain rheological parameter can have a non monotonic character.

show abstract

“…For detailed illustration of the foregoing algorithm we consider the cases where d (1) = d (2) = 25 and d (1)…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…are determined from the corresponding equations given, for instance, in the paper by Akbarov et al [1].…”

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Influence of the Viscoelasticity on the Axisymmetric Wave Attenuation in a bi-Material Solid Cylinder

Koçal

Akbarov

2018

Acta Phys. Pol. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…At the same time, as in the papers [20,22] introducing the following dimensionless rheological parameters: (24) the following expressions can be obtained for the long-term values of the mechanical  which enter into the equation (15): corresponds to the 'standard viscoelastic body' model (or the model by Kelvin). Consequently, according to the above expressions, the effect of the viscoelasticity of the m-th material on the attenuation curves will be estimated through these three dimensionless rheological parameters.…”

Section: The Selection Of the Viscoelastic Operators And The Determinmentioning

confidence: 99%

Genelleştirilmiş Rayleigh Dalgaların Viskoelastik Tabakalı Yarı-uzay Ortamlarda Sönümlenmesi

Negin

2019

Deu Muhendislik Fakultesi Fen Ve Muhendislik

View full text Add to dashboard Cite

This paper investigates the attenuation of the generalized Rayleigh waves propagating in a covered half-space made of viscoelastic materials. Exact equations of motion of the theory of linear viscoelasticity are utilized. The complex dispersion equation is obtained for an arbitrary type of hereditary operator of the viscoelastic materials and a solution algorithm is developed for obtaining numerical results on the attenuation of the waves under consideration. Viscoelasticity of the materials are described through fractional-exponential operators by Rabotnov. Attenuation curves are obtained and discussed for the dispersion curves which are limited by the dispersion curve constructed for the purely elastic cases with instantaneous and long-term values of the elastic constants. According to this discussion, the rules of the studied attenuation and the influence of the rheological parameters of the materials on this attenuation are established. In particular, it is established that a decrease in the values of the creep time of the viscoelastic materials causes an increase in the magnitude of the attenuation coefficient.

show abstract

On attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer over viscoelastic mantle

Negin

Akbarov

2019

J Earth Syst Sci

View full text Add to dashboard Cite

This study investigates the attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer of the Earth over its viscoelastic mantle. The exact equations of motion of the theory of linear viscoelasticity are used and the complex dispersion equation is obtained for an arbitrary type of hereditary operator of the viscoelastic materials. The viscoelasticity of the materials is described by the fractionalexponential operators of Rabotnov, and a solution algorithm is developed to obtain numerical results for the attenuation of the considered waves. Attenuation curves are obtained and discussed, and in particular, the influence of the rheological parameters of the materials on this attenuation is studied. It is established that a decrease in the creep time of the viscoelastic materials leads to an increase in the attenuation coefficient.

show abstract

On the dispersion of the axisymmetric longitudinal wave propagating in a bi-layered hollow cylinder made of viscoelastic materials

Cited by 7 publications

References 16 publications

The Influence of the Viscoelasticity on the Axisymmetric Wave Attenuation in a bi-Material Solid Cylinder

The Influence of the Viscoelasticity on the Axisymmetric Wave Attenuation in a bi-Material Solid Cylinder

Genelleştirilmiş Rayleigh Dalgaların Viskoelastik Tabakalı Yarı-uzay Ortamlarda Sönümlenmesi

On attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer over viscoelastic mantle

Contact Info

Product

Resources

About