Characteristics of Torsional Wave Profiles in a Viscous Fiber-Reinforced Layer Resting over a Sandy Half-Space under Gravity
Publication: International Journal of Geomechanics
Volume 18, Issue 7
Abstract
The current work investigates the propagation of torsional waves at the interface of a Voigt-type viscoelastic fiber-reinforced layer and a sandy half-space under gravity. The media used are prestressed and heterogeneous. The dispersion relation is established in compact form by the variable separable method. The significant effect of heterogeneity, viscoelasticity, fiber-reinforcement, initial stress, sandiness, and gravity on propagation characteristics of torsional waves has been elucidated graphically. The present work may serve as a helpful tool to connect theoretical results and field applications.
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Acknowledgments
The authors extend their heartfelt gratitude to the Indian Institute of Technology (ISM), Dhanbad, Jharkhand, India, for providing financial assistance and the necessary facilities to perform this research work.
References
Akbarov, S., and A. Guz. 2000. “Plane-curved composites.” In Mechanics of curved composites, 7–54. Dordrecht Netherlands: Springer,.
Biot, M. A. 1965. Mechanics of incremental deformations. New York: Wiley.
Biwa, S. 2001. “Independent scattering and wave attenuation in viscoelastic composites.” Mech. Mater. 33 (11): 635–647. https://doi.org/10.1016/S0167-6636(01)00080-1.
Chattaraj, R., and S. K. Samal. 2013. “Love waves in the fiber-reinforced layer over a gravitating porous half-space.” Acta Geophys. 61 (5): 1170–1183. https://doi.org/10.2478/s11600-012-0100-2.
Dey, S., A. K. Gupta, and S. Gupta. 2002. “Effect of gravity and initial stress on torsional surface waves in dry sandy medium.” J. Eng. Mech. 128 (10): 1115–1118. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1116).
Dey, S., and M. G. Sarkar. 2002. “Torsional surface waves in an initially stressed anisotropic porous medium.” J. Eng. Mech. 128 (2): 184–189. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:2(184).
Hashin, Z. 1966. “Viscoelastic fiber reinforced materials.” AIAA J. 4 (8): 1411–1417. https://doi.org/10.2514/3.3686.
Hool, G. A., W. S. Kinne, and R. R. Zipprodt. 1924. Reinforced concrete and masonry structures. New York: McGraw-Hill.
Khan, A., S. M. Abo-Dahab, and A. M. Abd-Alla. 2015. “Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids.” Int. J. Phys. Sci. 10 (24): 604–613. https://doi.org/10.5897/IJPS2015.4384.
Kumari, P., and V. K. Sharma. 2014. “Propagation of torsional waves in a viscoelastic layer over an inhomogeneous half space.” Acta Mech. 225 (6): 1673–1684. https://doi.org/10.1007/s00707-013-1021-0.
Love, A. E. H. 1920. Mathematical theory of elasticity. Cambridge, UK: Cambridge University Press.
Nguyen, T. D., R. Jones, and B. Boyce. 2007. “Modeling the anisotropic finite-deformation viscoelastic behavior of soft fiber-reinforced composites.” Int. J. Solids Struct. 44 (25): 8366–8389. https://doi.org/10.1016/j.ijsolstr.2007.06.020.
Pal, J., and A. P. Ghorai. 2015. “Propagation of love wave in sandy layer under initial stress above anisotropic porous half-space under gravity.” Transp. Porous Media 109 (2): 297–316. https://doi.org/10.1007/s11242-015-0519-4.
Pal, P. C., S. Kumar, and S. Bose. 2015. “Propagation of Rayleigh waves in anisotropic layer overlying a semi-infinite sandy medium.” Ain Shams Eng. J. 6 (2): 621–627. https://doi.org/10.1016/j.asej.2014.11.003.
Pal, P. C., S. Kumar, and D. Mandal. 2016. “Surface wave propagation in sandy layer overlying a liquid saturated porous half-space and lying under a uniform liquid layer.” Mech. Adv. Mater. Struct. 23 (1): 59–65. https://doi.org/10.1080/15376494.2014.929765.
Pandit, D. K., S. Kundu, and S. Gupta. 2017. “Propagation of love waves in a prestressed Voigt-type viscoelastic orthotropic functionally graded layer over a porous half-space.” Acta Mech. 228 (3): 871–880. https://doi.org/10.1007/s00707-016-1741-z.
Sengupta, P. R., and S. Nath. 2001. “Surface waves in fibre-reinforced anisotropic elastic media.” Sadhana 26 (4): 363–370. https://doi.org/10.1007/BF02703405.
Singh, A. K., A. Das, S. Kumar, and A. Chattopadhyay. 2015. “Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on love-type wave propagation.” Meccanica 50 (12): 2977–2994. https://doi.org/10.1007/s11012-015-0172-6.
Spencer, A. J. M. 1972. Deformations of fibre-reinforced materials. Oxford, UK: Clarendon.
Vardoulakis, I. 1984. “Torsional surface waves in inhomogeneous elastic media.” Int. J. Numer. Anal. Methods Geomech. 8 (3): 287–296. https://doi.org/10.1002/nag.1610080306.
Weiskopf, W. H. 1945. “Stresses in soils under a foundation.” J. Franklin Inst. 239 (6): 445–465. https://doi.org/10.1016/0016-0032(45)90189-X.
Whittaker, E. T., and G. N. Watson. 1991. A course of modern analysis. Cambridge, UK: Cambridge University Press.
Zhang, R., Y. Pang, and W. Feng. 2014. “Propagation of Rayleigh waves in a magneto-electro-elastic half-space with initial stress.” Mech. Adv. Mater. Struct. 21 (7): 538–543. https://doi.org/10.1080/15376494.2012.699595.
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© 2018 American Society of Civil Engineers.
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Received: May 12, 2017
Accepted: Feb 2, 2018
Published online: May 8, 2018
Published in print: Jul 1, 2018
Discussion open until: Oct 8, 2018
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