Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Effect of Rigid Boundary on Propagation of Love Wave in Heterogeneous Crust over Heterogeneous Mantle


Affiliations
1 Department of Information Technology, Asansol Engineering College Asansol-713305, India
2 Department of Physics, Asansol Engineering College Asansol-713305, India
3 Department of Mathematics, Brainware Group of Institutions-SDET, Kolkata-700125, India
     

   Subscribe/Renew Journal


The paper studies the transmission of “Love wave in heterogeneous crust over heterogeneous mantle under a rigid layer”. The quadratic variation of rigidity and linear variation in density has been taken in the crustal medium and exponential variation of rigidity and density has been taken in of the mantle medium. The solution for the crustal layer was solved by the Newlands method and the solution for the mantle solved by the analytical method. It is found that the “speed of Love wave” in isotropic medium under rigid layer is always higher than the “speed of Love wave” in any variation of rigidity or density either crustal or mantle under rigid layer.

Keywords

Love Wave, Heterogeneous medium, Rigid Boundary, Wave Propagation.
User
Subscription Login to verify subscription
Notifications
Font Size

  • A E H Love, Some Problems of Geodynamics, Cambridge University Press, London, 1911.
  • J D Achenbach, Wave Propagation in Elastic Solids, New York, North Holland, 1973.
  • M A Biot, Mechanics of Incremental Deformations, John Wiley and Sons Inc., New York, 1965.
  • M A Biot, Mechanics of Deformation and Acoustic Propagation in Porous Media, Journal of Applied Physics, Vol 3, page 1482-1498, 1962.
  • M A Biot, Theory of Elasticity and Consolidation for a Porous Anisotropic Solid, Journal of Applied Physics, Vol 26, page 182-185, 1955.
  • S C Cowin and J W Nunziato, Linear Elastic Materials with Voids, Journal of Elasticity, Vol 13, page 125, 1983.
  • W M Ewing, W Jardetzky and F Press, Elastic Waves in Layered Media, McGraw-Hill Book Co, New York, 1957.
  • Chapman, C., Fundamentals of Seismic Wave Propagation, Cambridge University Press, Cambridge, 2004.
  • A P Ghorai, S K Samal and N C Mahanti, Love Waves in a Fluid Saturated Porous Layer under a Rigid Boundary and Lying over an Elastic HalfSpace Under Gravity, Applied Mathematical Modelling, Vol 34, page 1873-1883, 2010.
  • S Kundu, S Gupta, P K Vaishnav and S Manna, Propagation of Love waves in a Heterogeneous Medium over an Inhomogeneous Half-Space under the Effect of Point Source, Journal of Vibration and Control, Vol 22, Issue 5, page 1380- 1391, 2016.
  • S Kundu, S Manna and S Gupta, Love Wave Dispersion in Pre-Stressed Homogenous Medium over a Porous Half-Space with Irregular Boundary Surface, International Journal of Solids and Structures, Vol 51, page 3689-3697, 2014.
  • S Dey, S Gupta and A K Gupta, Propagation of Love Waves in an Elastic Layer with Void Pores, Sadhana, Vol 29, page 355-363, 2004.
  • S S Singh, Love Wave at Layered Medium Bounded by Irregular Boundary Surfaces, Journal of Vibration and Control, Vol 17, Issue 5, page 789795, 2011.

Abstract Views: 502

PDF Views: 0




  • Effect of Rigid Boundary on Propagation of Love Wave in Heterogeneous Crust over Heterogeneous Mantle

Abstract Views: 502  |  PDF Views: 0

Authors

A. K. Mukhopadhyay
Department of Information Technology, Asansol Engineering College Asansol-713305, India
A. K. Gupta
Department of Physics, Asansol Engineering College Asansol-713305, India
P. Patra
Department of Mathematics, Brainware Group of Institutions-SDET, Kolkata-700125, India

Abstract


The paper studies the transmission of “Love wave in heterogeneous crust over heterogeneous mantle under a rigid layer”. The quadratic variation of rigidity and linear variation in density has been taken in the crustal medium and exponential variation of rigidity and density has been taken in of the mantle medium. The solution for the crustal layer was solved by the Newlands method and the solution for the mantle solved by the analytical method. It is found that the “speed of Love wave” in isotropic medium under rigid layer is always higher than the “speed of Love wave” in any variation of rigidity or density either crustal or mantle under rigid layer.

Keywords


Love Wave, Heterogeneous medium, Rigid Boundary, Wave Propagation.

References





DOI: https://doi.org/10.24906/isc%2F2021%2Fv35%2Fi2%2F209061