Shear-Wave Propagation in a Loosely Bonded Inhomogeneous Fiber-Reinforced Stratum under the Influence of Horizontal Initial Stress Growing with Depth
Publication: International Journal of Geomechanics
Volume 17, Issue 10
Abstract
The current study focused on the propagation behavior of horizontally polarized shear waves (SH wave) in a corrugated fiber-reinforced layer loosely bonded with an isotropic elastic half-space. Both the layer and half-space were assumed to be heterogeneous and acted upon by horizontal initial stresses. The heterogeneity in both the layer and half-space were caused by exponential variation of the elastic parameters and density as a function of depth. The closed form of the dispersion relation was obtained and reduced to the classical Love wave equation as a particular case of the problem. The substantial effects of reinforcement, anisotropy, heterogeneities, corrugation, loosely bonded interface, and initial stresses on the dispersion curve were studied extensively with the aid of graphical illustrations and discussions accomplished by numerical computation. Moreover, a comparative study was performed to meticulously compare the case of presence of reinforcement in the layer (anisotropic case) to the case of reinforced free layer (isotropic case), the heterogeneous case to the homogeneous case, and the case of loosely bonded interface to the case of perfectly bonded planar interface.
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Acknowledgments
The authors convey their sincere thanks to the National Board of Higher Mathematics (NBHM) for their financial support to carry out this research work through Project NBHM/R.P. 78/2015/Fresh/2017/24.1.2017 titled “Mathematical modeling of elastic wave propagation in highly anisotropic and heterogeneous media.”
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Published In
International Journal of Geomechanics
Volume 17 • Issue 10 • October 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Apr 4, 2016
Accepted: May 1, 2017
Published online: Aug 4, 2017
Published in print: Oct 1, 2017
Discussion open until: Jan 4, 2018
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