Deformation of Irregular Layered Half-Space Due to Long Strike Slip Fault

Journal of Solid Mechanics

مقاله 8، دوره 14، شماره 3، آذر 2022، صفحه 398-417   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2022.1950821.1727

نویسندگان

M Malik¹؛ Savita Dhankhar^{* 2}؛ R kumar Sahrawat²

¹Department of Mathematics, All India Jat Heroes’ Memorial College, Rohtak-124001, India

²Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal-131039, India

چکیده

This paper investigates the effect of irregular boundary and source depth in a two dimensional model due to movement of a long strike slip fault. A model having horizontal orthotropic elastic layer of uniform thickness coupling in three different ways to an irregular boundary of an orthotropic elastic half-space (having rectangular shaped irregularity on its boundary surface) has been considered. To study the effect of fault depth, we divide the problem into two cases. In case first, the fault is assumed to be present in regular orthotropic elastic layer at a distance say 'd' from the upper surface of the layer. In second case, the fault is assumed to be present in irregular orthotropic elastic half-space at same depth 'd' from the boundary surface of elastic half-space. For each type of coupling, the effect of rectangular irregularity and variation in fault depth on displacements and stresses for both layers and half-space are studied graphically. The present paper has wide applications in material science engineering, geosciences and soil mechanics.

کلیدواژه‌ها

Strike slip؛ Welded contact؛ Smooth-rigid contact؛ Rough-rigid contact؛ Rectangular irregularity

مراجع

1.  Crampin S., 1989, Suggestions for a consistent terminology for seismic anisotropy, Geophysical Prospecting 37(7): 753-770.
2.  Singh S. J., Rani S., 1994, Lithospheric deformation associated with two-dimensional strike-slip faulting, Journal of Physicsof the Earth 42:197-220.
3.  Rani S., Singh S.J., 1992, Static deformation of two welded half-space due to dip-slip faulting, Proceedings of the Indian Academy of Sciences - Earth & Planetary Sciences 101(3): 269-282.
4.  Garg N.R., Madan D.K., Sharma R.K., 1996, Two dimensional static deformation of an orthotropic elastic medium due to seismic sources, Physicsof the Earth and Planetary Interiors 94: 43-62.
5.  Singh S.J., Garg N.R., 1985, On two-dimensional elastic dislocations in a multilayered half-space, Physics of the Earth and Planetary Interiors 40(2): 135-145.
6.  Bonafede M., Parenti B., Rivalta E., 2002, On strike-slip faulting in layered media, Geophysical Journal International 149: 698-723.
7.  Arya P., Madan D.K., Garg N.R., Gaba A., 2016, Shear stress and displacement for strike-slip dislocation in an orthotropic elastic half-space with rigid surface, International Journal of Applied Science-Research and Review 2016: 097-112.
8. GargR., Sharma R.K., 1992, Deformation of an elastic layer coupling in different ways to a base due to a very long vertical strike-slip dislocation, Proceedings of the Indian Academy of Sciences-Earth and Planetary Sciences 101: 255-268.
9.  Madan D.K., Garg N.R., 1997, Static deformation of an orthotropic horizontal elastic layer coupling in different ways to a base due to a very long inclined strike-slip fault embedded in the layer, Indian Journal of Pure & Applied Mathematics 28(5): 697-712.
10.  Chugh S., Singh K., Madan D.K., 2009, Two-dimensional static deformation of an orthotropic elastic layered half-space due to blind strike-slip fault, ISET Journal of Earthquake Technology 46(2): 109-124.
11.  Malik M., Singh M., 2013, Deformation of a uniform half-space with rigid boundary due to strike-slip line source, IOSR Journal of Mathematics 5: 30-41.
12.  Selim M. M., 2008, Effect of irregularity on static deformation of elastic half-space, International Journal of Modern Physics 22(14): 2241-2253.
13.  Madan D.K., Gaba A., 2016, 2-Dimensional deformation of an irregular orthotropic elastic medium, IOSR Journal of Mathematics 12(4): 101-113.
14.  Madan D.K., Arya P., Garg N.R., Singh K., 2017, Stresses in an orthotropic elastic layer lying over in irregular isotropic elastic half-space, International Journal of Current Research and Review 09(04): 15-20.
15.  Savita., Sahrawat R.K., Malik M., 2021, Stresses in a monoclinic elastic layer lying over an irregular isotropic elastic half-space, Advances and Applications in Mathematical Sciences 21(1): 21-39.
16. Savita.,  Sahrawat R.K., Malik M., 2021, Stresses in a monoclinic elastic plate placed upon an irregular mon oclinic elastic half-space, Indian Journal of Science and Technology 14(1): 55-70.