Love Wave Propagation in Vertical Heterogeneous Fiber-Reinforced Stratum Imperfectly Bonded to a Micropolar Elastic Substrate
Publication: International Journal of Geomechanics
Volume 18, Issue 2
Abstract
The microstructure that lies within a continuum sometimes plays a very important role, and hence, mechanics associated with the microstructure cannot be disregarded during the study of elastodynamic problems in such a structure. Also, the bonding between the stratum in the composite structure is not always perfect. Therefore, the present paper investigates the effect of imperfect interfacial bonding on Love wave propagation in a vertically heterogeneous fiber-reinforced stratum lying over a micropolar elastic substrate. Under imperfect bonding conditions, the dispersion relation affecting the Love wave was derived analytically. The study reveals that wave number, k, coupling factor, N, and a imperfectness parameter, Γ disfavor the phase velocity of a Love wave, whereas reinforcement, μL/μT, heterogeneity, ν, and micropolarity, , favor the phase velocity of a Love wave. The influence of a complex interface on the phase velocity of a Love wave was analyzed meticulously, and it was found that a flexibility imperfectness parameter encourages, whereas a viscoelastic imperfectness parameter discourages, the phase velocity; however, the effect of the viscoelastic imperfectness parameter is dominating.
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Acknowledgments
The authors convey their sincere thanks to Mr. Mriganka Shekhar Chaki for his valuable suggestion in the development of the manuscript. The authors also convey their sincere thanks to the National Board of Higher Mathematics (NBHM) for its financial support to carry out this research work through Project NBHM/R.P. 78/2015/Fresh/2017/24.1.2017, entitled “Mathematical modeling of elastic wave propagation in highly anisotropic and heterogeneous media.”
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Published In
International Journal of Geomechanics
Volume 18 • Issue 2 • February 2018
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Nov 20, 2015
Accepted: Aug 28, 2017
Published online: Dec 5, 2017
Published in print: Feb 1, 2018
Discussion open until: May 5, 2018
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