Technical Paper
Oct 27, 2015

Effect of Heterogeneity, Irregularity, and Reinforcement on the Stress Produced by a Moving Load on a Self-Reinforced Composite Half-Space

Publication: International Journal of Geomechanics
Volume 16, Issue 3

Abstract

The present study deals with the stress produced in an irregular heterogeneous self-reinforced composite half-space due to a load acting as a shearing force and moving along the free surface. The expression of shear stress produced in this case was obtained in closed form. The effect of heterogeneity, reinforcement, maximum depth of irregularity, and the irregularity factor on shear stress is the highlight of the study. In addition, the effect of different shapes of irregularity on shear stress is discussed through the irregularity factor. Moreover, a comparison is made for three different cases of irregularity, namely, rectangular, parabolic, and no irregularity. As a special case of the problem, the stress produced because of a moving load acting as a shearing force in an isotropic half-space with and without heterogeneity and irregularity is discussed. A comparative study of a self-reinforced composite medium and an isotropic medium in the present context of the problem was performed using graphs, and important peculiarities were traced out.

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Acknowledgments

The authors convey their sincere thanks to the Indian School of Mines (Dhanbad) for providing a junior research fellowship to Mr. Anirban Lakshman and also providing the authors with its best facility for research.

References

Achenbach, J. D., Keshava, S. P., and Herrmann, G. (1967). “Moving load on a plate resting on an elastic half space.” J. Appl. Math. Mech., 34(4), 910–914.
Alekseyeva, L. A. (2007). “The dynamics of an elastic half-space under the action of a moving load.” J. Appl. Math. Mech., 71(4), 511–518.
Chattopadhyay, A., Gupta, S., Chattopadhyay, A., and Singh, A. K. (2010). “The dispersion of shear wave in multilayered magnetoelastic self-reinforced media.” Int. J. Solids Struct., 47(9), 1317–1324.
Chattopadhyay, A., Gupta, S., Sahu, S. A., and Singh, A. K. (2011b). “Dispersion equation of magnetoelastic shear waves in an irregular monoclinic layer.” J. Appl. Math. Mech., 32(5), 571–586.
Chattopadhyay, A., Gupta, S., Sahu, S. A., and Singh, A. K. (2013). “Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semi-infinite self-reinforced medium.” J. Vib. Control, 19(1), 109–119.
Chattopadhyay, A., Gupta, S., Sharama,V. K., and Kumari, P. (2011a). “Stresses produced on a rough irregular half-space by a moving load.” Acta Mech., 221(3–4), 271–280.
Chattopadhyay, A., and Saha, S. (2006). “Dynamic response of normal moving load in the plane of symmetry of a monoclinic half-space.” Tamkang J. Sci. Eng., 9(4), 307–312.
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., Singh, A., and Dhua, S. (2014). “Effect of heterogeneity and reinforcement on propagation of a crack due to shear waves.” Int. J. Geomech., 14(4), 04014013.
Chonan, S. (1976). “Moving load on a pre-stressed plate resting on a fluid half-space.” Arch. Appl. Mech., 45(3), 171–178.
Cole, J., and Huth, J. (1958). “Stresses produced in a half plane by moving loads.” J. Appl. Mech., 25, 433–436.
Craggs, J. W. (1960). “One two-dimensional wave in an elastic half plane.” Math. Proc. Camb., 56(3), 269–285.
Doyle, J., Howard, I., Gartrell, C., Anderton, G., Newman, J., and Berney, E., IV (2014). “Full-scale instrumented testing and three-dimensional modeling of airfield matting systems.” Int. J. Geomech., 14(2), 161–170.
Gubbins, D. (1990). Seismology and plate tectonics, Cambridge University Press, Cambridge, U.K.
Lee, H. P., and Ng, T. Y. (1994). “Dynamic response of a cracked beam subject to a moving load.” Acta. Mech., 106(4), 221–230.
Markham, M. F. (1970). “Measurements of elastic constants of fibre composites by ultrasonics.” Composites, 1(3), 145–149.
Miles, I. W. (1966). “Response of a layered half space to a moving load.” J. Appl. Mech., 33(3), 680–681.
Mukherjee, S. (1969). “Stresses produced by a load moving over a rough boundary of a semi-infinite transversely isotopic solid.” Pure. Appl. Geophys., 72(1), 45–50.
Mukhopadhyay, A. (1965). “Stress produced by a normal moving load over a transversely isotropic layer of ice lying on a rigid foundation.” Pure Appl. Geophys., 60(1), 29–41.
Nainegali, L., Basudhar, P., and Ghosh, P. (2013). “Interference of two asymmetric closely spaced strip footings resting on nonhomogeneous and linearly elastic soil bed.” Int. J. Geomech., 13(6), 840–851.
Olsson, M. (1991). “On the fundamental moving load problem.” J. Sound. Vib., 145(2), 299–307.
Patil, V., Sawant, V., and Deb, K. (2013). “3D finite-element dynamic analysis of rigid pavement using infinite elements.” Int. J. Geomech., 13(5), 533–544.
Sackman, J. L. (1961). “Uniformly moving load on a layered half plane.” J. Eng. Mech., 87(4), 75–90.
Selim, M. M. (2007). “Static deformation of an irregular initially stressed medium.” Appl. Math. Comput., 188(2), 1274–1284.
Singh, A. K., Kumar, S., and Chattopadhyay, A. (2014a). “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.
Singh, A. K., Lakshman, A., and Chattopadhyay, A. (2014b). “The plane waves at the edge of a uniformly pre-stressed fiber-reinforced plate.” J. Vib. Control, (Sept. 11, 2014).
Sneddon, I. N. (1952). “Stress produced by a pulse of pressure moving along the surface of semi-infinite solid.” Rend. Circ. Mat. Palermo, 1(1), 57–62.
Tarefder, R., and Ahmed, M. (2014). “Modeling of the FWD deflection basin to evaluate airport pavements.” Int. J. Geomech., 14(2), 205–213.
Ungar, A. (1976). “Wave generation in an elastic half-space by a normal point load moving uniformly over the free surface.” Int. J. Eng. Sci. 14(10), 935–945.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 3June 2016

History

Received: Jun 10, 2014
Accepted: Feb 12, 2015
Published online: Oct 27, 2015
Discussion open until: Mar 27, 2016
Published in print: Jun 1, 2016

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Authors

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Abhishek Kumar Singh [email protected]
Assistant Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India (corresponding author). E-mail: [email protected]
Anirban Lakhsman [email protected]
Ph.D. Student, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India. E-mail: [email protected]
Amares Chattopadhyay [email protected]
Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India. E-mail: [email protected]

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