Skip to main content
Top
Published in:
Cover of the book

2021 | OriginalPaper | Chapter

Propagation of Viscoelastic Waves in a Single Layered Media with a Free Surface

Authors : Pankaj Kumar, Anirvan DasGupta, Ranjan Bhattacharyya

Published in: Advances in Structural Vibration

Publisher: Springer Singapore

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

search-config
loading …

Abstract

In this work, a wave propagation formulation in a layered half space is presented. A viscoelastic layer is considered to be fixed to an elastic half space. The inhomogeneity in various reflected and refracted waves is caused due to the viscoelastic layer. In the analysis, the low-loss approximation is considered for the viscoelastic layer. Using the matrix formulation of Thomson  [1] and Haskell  [2], the free surface displacement functions are derived by considering boundary conditions. The effect of medium parameters and wave types on the wave propagation behavior is studied numerically and conclusions are drawn.

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!

Literature
2.
go back to reference Haskell NA (1962) Crustal reflection of plane \(P\) and \(SV\) waves. J Geophys Res 67:4751–4767CrossRef Haskell NA (1962) Crustal reflection of plane \(P\) and \(SV\) waves. J Geophys Res 67:4751–4767CrossRef
3.
go back to reference Buchen PW (1971) Plane waves in linear viscoelastic media. Geophys J Int 23:531–542CrossRef Buchen PW (1971) Plane waves in linear viscoelastic media. Geophys J Int 23:531–542CrossRef
4.
go back to reference Borcherdt RD (1973) Energy and plane waves in linear viscoelastic media. J Geophys Res 78:2442–2453CrossRef Borcherdt RD (1973) Energy and plane waves in linear viscoelastic media. J Geophys Res 78:2442–2453CrossRef
5.
go back to reference Cooper HF Jr (1967) Reflection and transmission of oblique plane waves at a plane interface between viscoelastic media. J Acoust Soc Am 42:1064–1069CrossRef Cooper HF Jr (1967) Reflection and transmission of oblique plane waves at a plane interface between viscoelastic media. J Acoust Soc Am 42:1064–1069CrossRef
6.
go back to reference Borcherdt RD (1982) Reflection-refraction of general \(P\)-and type-I \(S\)-waves in elastic and anelastic solids. Geophys J Int 70:621–638CrossRef Borcherdt RD (1982) Reflection-refraction of general \(P\)-and type-I \(S\)-waves in elastic and anelastic solids. Geophys J Int 70:621–638CrossRef
7.
go back to reference Shumilova VV (2015) Reflection of plane a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers. Comput Math Math Phys 55:1188–1199MathSciNetCrossRef Shumilova VV (2015) Reflection of plane a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers. Comput Math Math Phys 55:1188–1199MathSciNetCrossRef
8.
go back to reference Shamaev AS, Shumilova VV (2017) Plane acoustic wave propagation through a composite of elatic and Kelvin-Voigt viscoelastic material layers. Mech Solids 52:25–34CrossRef Shamaev AS, Shumilova VV (2017) Plane acoustic wave propagation through a composite of elatic and Kelvin-Voigt viscoelastic material layers. Mech Solids 52:25–34CrossRef
9.
go back to reference Kaur T, Sharma SK, Singh AK (2017) Shear wave propagation in vertically heterogeneous viscoelastic layer over a mcropolar elastic half-space. Mech Adv Mater Struc 24:149–156CrossRef Kaur T, Sharma SK, Singh AK (2017) Shear wave propagation in vertically heterogeneous viscoelastic layer over a mcropolar elastic half-space. Mech Adv Mater Struc 24:149–156CrossRef
10.
go back to reference Liu J, Wang Y, Wang B (2010) Propagation of shear horizontal surface waves in a layered piezoelectric half-space with an imperfect interface. IEEE T Ultrason Ferr 57:1875–1879CrossRef Liu J, Wang Y, Wang B (2010) Propagation of shear horizontal surface waves in a layered piezoelectric half-space with an imperfect interface. IEEE T Ultrason Ferr 57:1875–1879CrossRef
Metadata
Title
Propagation of Viscoelastic Waves in a Single Layered Media with a Free Surface
Authors
Pankaj Kumar
Anirvan DasGupta
Ranjan Bhattacharyya
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5862-7_1

Premium Partners