Love Wave Behavior in Composite Fiber-Reinforced Structure
Publication: International Journal of Geomechanics
Volume 17, Issue 9
Abstract
An exact approach is used to discuss the Love wave behavior in a composite reinforced structure. In this body, the reinforced medium is covered by an initially stressed isotropically half-space from above and an initially stressed orthotropically half-space from below. The generalized dispersion relation of the Love wave is obtained in the presence of associated initial stress and reinforced parameters, which approve the significant effect of these parameters on the propagation of the Love wave in a composite fiber-reinforced structure. The obtained dispersion equation is in closed form, which is in agreement with the classical Love wave equation. Moreover, some important peculiarities are observed in the graphs.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank the Indian School of Mines, Dhanbad, for providing a scholarship to Mr. Pramod Kumar Vaishnav and for the use of their facilities for research.
References
Abd-Alla, A. M., Abo-Dahab, S. M., and Bayones, F. S. (2015a). “Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field.” Struct. Eng. Mech., 53(2), 277–296.
Abd-Alla, A. M., and Ahmed, S. M. (1999). “Propagation of Love waves in a nonhomogeneous orthotropic elastic layer under initial stress overlying semi-infinite medium.” Appl. Math. Comput. 106(2–3), 265–275.
Abd-Alla, A. M., Khan, A., and Abo-Dahab, S. M. (2015b). “Rotational effect on Rayleigh, Love and Stoneley waves in fibre-reinforced anisotropic general viscoelastic media of higher and fraction orders with voids.” J. Mech. Sci. Technol., 29(10), 4289–4297.
Abd-Alla, A. M., Mahmoud, S. R., Abo-Dahab, S. M., and Helmy, M. I. (2011). “Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field.” Appl. Math. Comput., 217(9), 4321–4332.
Abo-Dahab, S. M., Abd-Alla, A. M., and Khan, A. (2015). “Magnetism and rotation effect on surface waves in fibre-reinforced anisotropic general viscoelastic media of higher order.” J. Mech. Sci. Technol., 29(8), 3381–3394.
Achenbach, J. D. (1976). Wave propagation in elastic solids, North Holland, Amsterdam, Netherlands.
Ahmed, S. M., and Abo-Dahab, S. M. (2010). “Propagation of Love waves in an orthotropic granular layer under initial stress overlying a semi-infinite granular medium.” J. Vib. Control, 16(12), 1845–1858.
Belfield, A. J., Rogers, T. G., and Spencer, A. J. M. (1983). “Stress in elastic plates reinforced by fibres lying in concentric circles.” J. Mech. Phys. Solids, 31(1), 25–54.
Biot, M. A. (1955). “Theory of elasticity and consolidation for a porous anisotropic solid.” J. Appl. Phys., 26(2), 182–185.
Bullen, K. E. (1965). An introduction to the theory of seismology, Cambridge University Press, Cambridge, U.K.
Chattaraj, R., and Samal, S. K. (2013). “Love waves in the fiber-reinforced layer over a gravitating porous half-space.” Acta Geophys., 61(5), 1170–1183.
Chattopadhyay, A., and Choudhury, S. (1995). “Magneto-elastic shear waves in a self-reinforced plate.” Int. J. Numer. Anal. Methods Geomech., 19(4), 289–304.
Chattopadhyay, A., and Singh, A. K. (2012). “Propagation of magnetoelastic shear waves in an irregular self-reinforced layer.” J. Eng. Math., 75(1), 139–155.
Chattopadhyay, A., and Venkateswarul, R. L. K. (1998). “Stresses produced in a fibre-reinforced half space due to moving load.” Bull. Calcutta Math. Soc., 90, 337–342.
Ewing, M., Jardetzky, W., and Press, F. (1957). Elastic waves in layered media, McGraw-Hill, New York.
Gubbins, D. (1990). Seismological and plate tectonics, Cambridge University Press, Cambridge, U.K.
Kundu, S., Gupta, S., and Manna, S. (2014a). “Propagation of G-type seismic waves in heterogeneous layer lying over an initially stressed heterogeneous half-space.” Appl. Math. Comput., 234(May), 1–12.
Kundu, S., Gupta, S., and Manna, S. (2014b). “SH-type waves dispersion in an isotropic medium sandwiched between an initially stressed orthotropic and heterogeneous semi-infinite media.” Meccanica, 49(3), 749–758.
Love, A. E. H. (1911). Some problems of geodynamics, Cambridge University Press, Cambridge, U.K.
Pradhan, A., Samal, S. K., and Mahanti, N. C. (2003). “Influence of anisotropy on the Love waves in a self-reinforced medium.” Tamkang J. Sci. Eng., 6(3), 173–178.
Sahu, S., Saroj, P., and Paswan, B. (2015). “Shear waves in a heterogeneous fiber-reinforced layer over a half-space under gravity.” Int. J. Geomech., 04014048.
Singh, A. K., Das, A., Kumar, S., and Chattopadhyay, A. (2015). “Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on Love-type wave propagation.” Meccanica, 50(12), 2977–2994.
Singh, A. K., Kumar, S., and Chattopadhyay, A. (2014). “Effect of irregularity and heterogeneity on the stresses produced due to a normal moving load on a rough monoclinic half-space.” Meccanica, 49(12), 2861–2878.
Spencer, A. J. M. (1972). Deformation of fibre-reinforced materials, Oxford University Press, London.
Vaishnav, P. K., Kundu, S., Gupta, S., and Saha, A. (2016). “Propagation of Love-Type wave in porous medium over an orthotropic semi-infinite medium with rectangular irregularity.” Math. Prob. Eng., 2016, 2081505.
Information & Authors
Information
Published In
Copyright
© 2017 American Society of Civil Engineers.
History
Received: May 16, 2016
Accepted: Feb 16, 2017
Published online: May 5, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 5, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.