Abstract
The present paper studies the propagation of torsional surface wave in a homogeneous isotropic substratum lying over a viscoelastic half space under the influence of rigid boundary. Dispersion relation has been obtained analytically in a closed form. The effect of internal friction, rigidity, wave number and time period on the phase velocity has been studied numerically. Dispersion equation thus obtained match perfectly with the classical dispersion equation of Love wave when derived as a particular case.
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References
Monolis, G.D., Shaw, R.P.: Harmonic wave propagation through viscoelastic heterogeneous media exhibiting mild stochasticity – II. Applications, Soil Dyn. Earthq. Eng. 15(2), 129–139 (1996)
Chattopadhyay, A., Gupta, S., Sharma, V., Kumari, P.: Propagation of shear waves in viscoelastic medium at irregular boundaries. Acta Geophysica 58(2), 195–214 (2010)
Chattopadhyay, A., Gupta, S., Sharma, V.K., Pato, K.: Effect of Point Source and Heterogeneity on the Propagation of SH-Waves. International Journal of Applied Mathematics and Mechanics 6(9), 76–89 (2010)
Červenŷ, V.: Inhomogeneous harmonic plane waves in viscoelastic anisotropic media. Stud. Geophys. Geod. 48(1), 167–186 (2004)
Sethi, M., Gupta, K.C.: Surface Waves in Homogeneous, General Magneto-Thermo, Visco-Elastic Media of Higher Order Including Time Rate of Strain and Stress. International Journal of Applied Mathematics and Mechanics 7(17), 1–21 (2011)
Park, J., Kausel, E.: Impulse response of elastic half space in the wave number-time domain. J. Eng. Mech. ASCE 130(10), 1211–1222 (2004)
Romeo, M.: Interfacial viscoelastic SH waves. Int. J. Solid Struct. 40(9), 2057–2068 (2003)
Sari, C., Salk, M.: Analysis of gravity anomalies with hyperbolic density contrast: An application to the gravity data of Western Anatolia. J. Balkan Geophys. Soc. 5(3), 87–96 (2002)
Gubbins, D.: Seismology and Plate Techtonics. Cambridge University Press, Cambridge (1990)
Biot, M.A.: Mechanics of Incremental Deformation. John Willey and Sons, New York (1965)
Chattopadhyay, A., Sahu, S.A., Singh, A.K.: Dispersion of G-type seismic wave in magnetoelastic self reinforced layer. International Journal of Applied Mathematics and Mechanics 8(9), 79–98 (2011)
Davini, C., Paroni, R., Puntle, E.: An asymptotic approach to the Torsional problem in thin rectangular domains. Meccanica 43(4), 429–435 (2008)
Gupta, S., Majhi, D., Kundu, S., Vishwakarma, S.K.: Propagation of Torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous half-space. Applied Mathematics and Computation 218, 5655–5664 (2012)
Akbarov, S.D., Kepceler, T., Mert, E.M.: Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder. Journal of Sound and Vibration 330, 4519–4537 (2011)
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Vishwakarma, S.K., Gupta, S. (2012). Behaviour of Torsional Surface Wave in a Homogeneous Substratum over a Dissipative Half Space. In: Parashar, M., Kaushik, D., Rana, O.F., Samtaney, R., Yang, Y., Zomaya, A. (eds) Contemporary Computing. IC3 2012. Communications in Computer and Information Science, vol 306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32129-0_18
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DOI: https://doi.org/10.1007/978-3-642-32129-0_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32128-3
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