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Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials

Year 2019, , 419 - 431, 21.05.2019
https://doi.org/10.21205/deufmd.2019216209

Abstract

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.

References

  • Carcione, J. M. 1992. Rayleigh waves in isotropic viscoelastic media: Geophysical Journal International, 108(2), 453-464.

Genelleştirilmiş Rayleigh Dalgaların Viskoelastik Tabakalı Yarı-uzay Ortamlarda Sönümlenmesi

Year 2019, , 419 - 431, 21.05.2019
https://doi.org/10.21205/deufmd.2019216209

Abstract

Bu makalede
lineer viskoelastik malzemelerden oluşan tabakalı yarı uzay ortamlarda yayılan
genelleştirilmiş Rayleigh dalgalarının sönümlenmesi incelmiştir. Araştırmalar doğrusal
viskoelastisite teorisinin hareket denklemleri uygulayarak parçalı homojen modeli
aracılığıyla ile yapılmıştır. Dispersiyon denklemi, elde edilmiş ve sayısal
sonuçlar elde etmek için bir çözüm algoritması geliştirilmiştir. Farklı
atenüasyon durumları için katmanların viskozitesinin etkisi, elastik sabitlerle
karakterize eden reolojik parametreler aracılığıyla incelenmiştir. Malzemelerin
viskoelastisite modelide Rabotnov 'un kısmi eksponansiyel operatörü ’nü kullanılmıştır.
Özellikle, reolojik parametrelerin, incelenen dalgalarının atenüasyonunu nasıl
etkilediği tespit edilmiştir.

References

  • Carcione, J. M. 1992. Rayleigh waves in isotropic viscoelastic media: Geophysical Journal International, 108(2), 453-464.
There are 1 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Masoud Negin 0000-0002-0666-3206

Publication Date May 21, 2019
Published in Issue Year 2019

Cite

APA Negin, M. (2019). Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, 21(62), 419-431. https://doi.org/10.21205/deufmd.2019216209
AMA Negin M. Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials. DEUFMD. May 2019;21(62):419-431. doi:10.21205/deufmd.2019216209
Chicago Negin, Masoud. “Attenuation of the Rayleigh Waves in a Covered Half-Space Made of Viscoelastic Materials”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi 21, no. 62 (May 2019): 419-31. https://doi.org/10.21205/deufmd.2019216209.
EndNote Negin M (May 1, 2019) Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 21 62 419–431.
IEEE M. Negin, “Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials”, DEUFMD, vol. 21, no. 62, pp. 419–431, 2019, doi: 10.21205/deufmd.2019216209.
ISNAD Negin, Masoud. “Attenuation of the Rayleigh Waves in a Covered Half-Space Made of Viscoelastic Materials”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 21/62 (May 2019), 419-431. https://doi.org/10.21205/deufmd.2019216209.
JAMA Negin M. Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials. DEUFMD. 2019;21:419–431.
MLA Negin, Masoud. “Attenuation of the Rayleigh Waves in a Covered Half-Space Made of Viscoelastic Materials”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, vol. 21, no. 62, 2019, pp. 419-31, doi:10.21205/deufmd.2019216209.
Vancouver Negin M. Attenuation of the Rayleigh Waves in a Covered Half-space Made of Viscoelastic Materials. DEUFMD. 2019;21(62):419-31.

Dokuz Eylül Üniversitesi, Mühendislik Fakültesi Dekanlığı Tınaztepe Yerleşkesi, Adatepe Mah. Doğuş Cad. No: 207-I / 35390 Buca-İZMİR.