Technical Papers
Jun 28, 2017

Analysis of Stresses Induced due to a Moving Load on Irregular Initially Stressed Heterogeneous Viscoelastic Rock Medium

Publication: Journal of Engineering Mechanics
Volume 143, Issue 9

Abstract

This paper investigates the normal and shear stresses induced due to a load moving on initially stressed irregular heterogeneous isotropic viscoelastic rock medium (sandstone, limestone, and marble) at a free rough surface. Two-dimensional geometry of the rock medium is considered for this purpose. It has been reported through the closed-form expressions of induced stresses that both normal (compressive and tensile) and shear stresses are affected by the irregularity depth, different shapes of irregularity (rectangular irregularity and parabolic irregularity), heterogeneity, horizontal compressive initial stress, horizontal tensile initial stresses, hysteretic damping ratio, velocity of a moving load (in the subsonic range), and viscoelasticity of rock medium. Moreover, friction due to rough upper surface of viscoelastic rocks has a significant effect on shear and tensile stresses induced in viscoelastic rock medium. In addition, some important peculiarities are addressed and depicted by means of graphs.

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Acknowledgments

The authors convey their sincere thanks to the National Board of Higher Mathematics (NBHM) for providing financial support to carry out this research work through the project entitled “Mathematical modeling of elastic wave propagation in highly anisotropic and heterogeneous media,” project no. NBHM/R.P.78/2015/Fresh/2017. The authors also convey their sincere thanks to Dr. Pradeep Gautam and reviewers for their valuable suggestions in the development of present analysis.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 9September 2017

History

Received: May 30, 2016
Accepted: Mar 16, 2017
Published online: Jun 28, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 28, 2017

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Authors

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Abhishek Kumar Singh, Ph.D. [email protected]
Dept. of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India. E-mail: [email protected]
Senior Research Fellow, Dept. of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India (corresponding author). E-mail: [email protected]
Amit Kumar Verma, Ph.D. [email protected]
Dept. of Mining Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India. E-mail: [email protected]
Santan Kumar [email protected]
Senior Research Fellow, Dept. of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India. E-mail: [email protected]

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