Skip to main content
Top

2020 | OriginalPaper | Chapter

Case Wise Study of Heterogeneity on the Traversal Characteristics of Torsional Surface Waves

Authors : C. Kumari, S. Kundu

Published in: Mathematical Modelling and Scientific Computing with Applications

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Within the framework of a heterogeneous anisotropic layer laid over a pre-stressed half-space, propagation of torsional surface wave is investigated. We have considered two different cases of heterogeneity function in the anisotropic layer, namely exponential and trigonometric hyperbolic functions. We have also obtained two different dispersion equations for both cases of heterogeneities on the torsional wave propagation in the said model. The effects of heterogeneities and pre-stress on the torsional wave of phase velocity have been shown graphically for their different numerical values.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Ewing, W.M., Press, W.S.F.: Elastic Waves in Layered Media. McGraw-Hill, New York (1957)CrossRef Ewing, W.M., Press, W.S.F.: Elastic Waves in Layered Media. McGraw-Hill, New York (1957)CrossRef
2.
go back to reference Alterman, Z., Karal, F.C.: Propagation of waves in layered media by finite difference methods Alterman, Z., Karal, F.C.: Propagation of waves in layered media by finite difference methods
3.
go back to reference Love, A.E.H.: The Mathematical Theory of Elasticity. Cambridge University Press, Cambridge, UK (1927) Love, A.E.H.: The Mathematical Theory of Elasticity. Cambridge University Press, Cambridge, UK (1927)
4.
go back to reference Gubbins, D.: Seismology and Plate Tectonics. UK, Cambridge University Press, Cambridge (1990) Gubbins, D.: Seismology and Plate Tectonics. UK, Cambridge University Press, Cambridge (1990)
5.
6.
go back to reference Chattopadhyay, A., Gupta, S., Kumari, P., Sharma, V.K.: Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half space. Meccanica 46(4), 671–680 (2011)MathSciNetCrossRef Chattopadhyay, A., Gupta, S., Kumari, P., Sharma, V.K.: Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half space. Meccanica 46(4), 671–680 (2011)MathSciNetCrossRef
7.
go back to reference Dey, S., Gupta, S., Gupta, A.K.: Torsional surface waves in non-homogeneous and anisotropic medium. J. Acoust. Soc. Am. 99(5), 2737–2741 (1996)CrossRef Dey, S., Gupta, S., Gupta, A.K.: Torsional surface waves in non-homogeneous and anisotropic medium. J. Acoust. Soc. Am. 99(5), 2737–2741 (1996)CrossRef
8.
go back to reference Chattaraj, R., Samal, S.K., Mahanti, N.C.: Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress. Wave Motion 48(2), 184–195 (2011)MathSciNetCrossRef Chattaraj, R., Samal, S.K., Mahanti, N.C.: Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress. Wave Motion 48(2), 184–195 (2011)MathSciNetCrossRef
9.
go back to reference Wang, C., Lin, Y., Jeng, Y., Ruan, Z.: Wave propagation in an inhomogeneous cross-anisotropic medium. Int. J. Numer. Anal. Methods Geomech 34(7), 711–732 (2010)MATH Wang, C., Lin, Y., Jeng, Y., Ruan, Z.: Wave propagation in an inhomogeneous cross-anisotropic medium. Int. J. Numer. Anal. Methods Geomech 34(7), 711–732 (2010)MATH
10.
go back to reference Gupta, S., Chattopadhyay, A., Kundu, S., Gupta, A.K.: Effect of rigid boundary on the propagation of Torsional wave in a homogeneous layer over a heterogeneous half-space. Arch. Appl. Mech. 80(2), 143–150 (2010)CrossRef Gupta, S., Chattopadhyay, A., Kundu, S., Gupta, A.K.: Effect of rigid boundary on the propagation of Torsional wave in a homogeneous layer over a heterogeneous half-space. Arch. Appl. Mech. 80(2), 143–150 (2010)CrossRef
11.
go back to reference Singh, A.K., Das, A., Kumar, S., Chattopadhay, A.: Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on love-type wave propagation. Meccanica 50(12), 2977–2994 (2015)MathSciNetCrossRef Singh, A.K., Das, A., Kumar, S., Chattopadhay, A.: Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on love-type wave propagation. Meccanica 50(12), 2977–2994 (2015)MathSciNetCrossRef
12.
go back to reference Kundu, S., Saha, A., Gupta, S., Manna, S.: Propagation of torsional wave in a non-homogeneous crustal layer over a dry sandy mantle. Meccanica 50(12), 3029–3040 (2015)MathSciNetCrossRef Kundu, S., Saha, A., Gupta, S., Manna, S.: Propagation of torsional wave in a non-homogeneous crustal layer over a dry sandy mantle. Meccanica 50(12), 3029–3040 (2015)MathSciNetCrossRef
14.
go back to reference Gupta, S., Bhengra, N.: Dispersion study of propagation of torsional surface wave in a layered structure. J. Mech. 33(3), 303–315 (2017)CrossRef Gupta, S., Bhengra, N.: Dispersion study of propagation of torsional surface wave in a layered structure. J. Mech. 33(3), 303–315 (2017)CrossRef
15.
go back to reference Alam, P., Kundu, S., Gupta, S.: Dispersion and attenuation of torsional wave in a viscoelastic layer bonded between a layer and a half-space of dry sandy media. Appl. Mathematics Mech. (English Edition) 38(9), 1313–1328 (2017)MathSciNetCrossRef Alam, P., Kundu, S., Gupta, S.: Dispersion and attenuation of torsional wave in a viscoelastic layer bonded between a layer and a half-space of dry sandy media. Appl. Mathematics Mech. (English Edition) 38(9), 1313–1328 (2017)MathSciNetCrossRef
Metadata
Title
Case Wise Study of Heterogeneity on the Traversal Characteristics of Torsional Surface Waves
Authors
C. Kumari
S. Kundu
Copyright Year
2020
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-1338-1_10

Premium Partners