Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry
Main Article Content
Abstract
In the present paper, the closed form analytical expressions due to an inclined line-load in an irregular elastic medium with cubic symmetry have been obtained. The irregularities are considered in the shape of rectangular and parabolic. Numerically, the effect of irregularities have been studied by variation of displacements with the horizontal distance by considering different sizes of irregularities (e) of parabolic and rectangular. At different values of 'e' the comparisons are made at different values of angle of inclinations.
Downloads
Download data is not yet available.
Article Details
How to Cite
Gaba, A., Madan, D., Kumari, A., Raghav, J., & Gupta, I. (2018). Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry. SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology, 10(01), 01-12. https://doi.org/10.18090/samriddhi.v10i01.1
Section
Research Article
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Chattopadhyay, A., 1983. Chakraborty, M. and Pal A.K., The effect of initial stress and irregularity on the propagation of SH-Waves, Pure Appl. Math,14, 850-863.
[2] Chattopadhyay A., 1983. Pal A. Dispersion curves of SH waves caused by irregularity in the prestressed internal stratum, Acta Geophys,, 31(1), 37-48.
[3] Madan D.K, Kumar R., Sikka J.S.,2014. Love wave propagation in an irregular fluid saturated porous anisotropic layer with rigid boundaries, Journal of Applied Science and Research, 10(4), 281-287.
[4] Noyer J.D,1961, The effect of variation in layer thickness of Love waves, Bull. Seidmol, Soc. Am., , 51,227.
[5] Sato Y., 1952. Study on Surface waves. Vi. Generation of Love and other type of SH waves, Bull. Earthq. Res. Ins., 30,101-120.
[6] Mal A.K, 1962. On the frequency equation for love waves due to abrupt thickening of crustal layer, Geofis .Pure Appl.,52, 59-68
[7] Kar B.K., Pal A.K. and Kalyani V.K., 1986. Propagation of love waves in an isotropic dry sandy layer,Acta Geophys,34 (2), 157-170.
[8] Chugh S., Madan D.K. and Singh K., 2011. Plain strain deformation of an initially unstressed elastic medium, Applied Mathematics and Computation, 217,8683-8692.
[9] Selim M.M.,2008. Effect of irregularity on static deformation of elastic half-space, International Journal of Modern Physics,22(14) ,2241-2253.
[10] Madan D. K., Dhaiya A., Chugh S., 2012. Static response of transversely isotropic elastic medium with irregularity present in the medium, International Journal of Mechanical Engineering, 2(3).
[11] Madan D.K. and Gaba A., 2016. 2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium, IOSR Journal of Mathematics,12(4), 101- 113.
[12] Nalluri, S. K., & Parasaram, V. K. B. (2015). Automating Software Builds with Jenkins: Design Patterns and Failure Handling. International Journal of Technology, Management and Humanities, 1(01), 16-33. https://doi.org/10.21590/ijtmh.01.02.03
[13] Love, A.E.H.,1944.. ATreatise on the Mathematical theory of elasticity, Dover Publication, New York.
[14] Ross S.L, 1984. Differential Equation, 3rd Edition, John Wiley and Sons, New York.
[15] Eringen A.C. andSuhani E.S,1975. Elastodynamics, Academic Press, New York, Vol. II.
[16] Saasa A.S., v. Elasticity-Theory and Apllications, Pergamon Press Inc, New York.
[17] Leibfried G.,1955.Encyclopaedia of Physics VIII, Springer –Verlag, Berlin
[2] Chattopadhyay A., 1983. Pal A. Dispersion curves of SH waves caused by irregularity in the prestressed internal stratum, Acta Geophys,, 31(1), 37-48.
[3] Madan D.K, Kumar R., Sikka J.S.,2014. Love wave propagation in an irregular fluid saturated porous anisotropic layer with rigid boundaries, Journal of Applied Science and Research, 10(4), 281-287.
[4] Noyer J.D,1961, The effect of variation in layer thickness of Love waves, Bull. Seidmol, Soc. Am., , 51,227.
[5] Sato Y., 1952. Study on Surface waves. Vi. Generation of Love and other type of SH waves, Bull. Earthq. Res. Ins., 30,101-120.
[6] Mal A.K, 1962. On the frequency equation for love waves due to abrupt thickening of crustal layer, Geofis .Pure Appl.,52, 59-68
[7] Kar B.K., Pal A.K. and Kalyani V.K., 1986. Propagation of love waves in an isotropic dry sandy layer,Acta Geophys,34 (2), 157-170.
[8] Chugh S., Madan D.K. and Singh K., 2011. Plain strain deformation of an initially unstressed elastic medium, Applied Mathematics and Computation, 217,8683-8692.
[9] Selim M.M.,2008. Effect of irregularity on static deformation of elastic half-space, International Journal of Modern Physics,22(14) ,2241-2253.
[10] Madan D. K., Dhaiya A., Chugh S., 2012. Static response of transversely isotropic elastic medium with irregularity present in the medium, International Journal of Mechanical Engineering, 2(3).
[11] Madan D.K. and Gaba A., 2016. 2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium, IOSR Journal of Mathematics,12(4), 101- 113.
[12] Nalluri, S. K., & Parasaram, V. K. B. (2015). Automating Software Builds with Jenkins: Design Patterns and Failure Handling. International Journal of Technology, Management and Humanities, 1(01), 16-33. https://doi.org/10.21590/ijtmh.01.02.03
[13] Love, A.E.H.,1944.. ATreatise on the Mathematical theory of elasticity, Dover Publication, New York.
[14] Ross S.L, 1984. Differential Equation, 3rd Edition, John Wiley and Sons, New York.
[15] Eringen A.C. andSuhani E.S,1975. Elastodynamics, Academic Press, New York, Vol. II.
[16] Saasa A.S., v. Elasticity-Theory and Apllications, Pergamon Press Inc, New York.
[17] Leibfried G.,1955.Encyclopaedia of Physics VIII, Springer –Verlag, Berlin