Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

Godara, Yogita; Sahrawat, Ravinder Kumar; Singh, Mahabir

doi:10.18052/www.scipress.com/BMSA.9.11

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Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

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Abstract:

Closed-form analytical expressions for displacements and stresses at any point of a two-phase medium consisting of a homogeneous, isotropic, perfectly elastic half-space in welded contact with a homogeneous, orthotropic, perfectly elastic half-space caused by a tensile fault of finite width located at an arbitrary distance from the interface in the isotropic half-space are obtained. The Airy stress function approach is used to obtain the expressions for the stresses and displacements. The vertical tensile fault is considered graphically. The variations of the displacements with the distance from the fault and with depth for various cases have been studied graphically. Also horizontal and vertical displacement of the surface are presented graphically.

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 9)

Pages:

11-26

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.9.11

Citation:

Y. Godara et al., "Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space", Bulletin of Mathematical Sciences and Applications, Vol. 9, pp. 11-26, 2014

Online since:

August 2014

Authors:

Yogita Godara, Ravinder Kumar Sahrawat, Mahabir Singh

Keywords:

Isotropic Half-Space, Orthotropic Half-Space, Static-Deformation, Tensile Fault

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Open Access

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Creative Commons Attribution 4.0 International License

References:

Steketee, J. A, On Volterra's Dislocations in a Semi-infinite Elastic Medium, Can. J. Phys., vol. 36, 1958a, 192-205.

Stekettee, J. A, Some Geophysical Applications of the Elasticity Theory of Dislocations, Can. J. Phys., vol. 36, 1958b, 1168-1198.

Chinnery, M. A., The Deformation of the Ground Around Surface Faults, Bull. Seismol. Soc. Am., vol. 61, 1961, 355-372.

Sipkin, S. A,. Interpretation of non-double- couple earthquake mechanisms derived from moment tensor inversions, J. Geophys. Res., 91, 531-547.

Maruyama, T., Statical elastic dislocations in an infinite and semi-infinite medium, Bull. Earthquake Res. Inst., 42, 1964, 289-368.

Freund, L. B. and D. M. Barnett, A two-dimensional analysis of surface deformation due to dip-slip faulting, Bull. Seismol. Soc. Am., 66, 667-675, (1976).

Davis, P. M., Surface deformation associated with a dipping hydrofracture, Geophys. J. Res., 88, 1983, 5826-5836.

Singh, S. J. & Garg, N. R., 1986 On the representation of two-dimensional seismic sources, Acta Geophy. Pol., 34, 1-12.

Rani, S., S. J. Singh, and N. R. Garg, ' Displacements and stresses at any point of a uniform half-space due to two-dimensional buried sources', Phys. Earth Planet. Inter. 65, 276-286, 1991. http: /dx. doi. org/10. 1016/0031-9201 (91) 90134-4.

Wu, R.S. & Chou, Y.T., Line force in a two-phase orthotropic medium, ASME. Appl. Mech., 49, 1982, 55-61.

Singh, S. J., Static deformation of a transversely isotropic multilayered half-space by general surface loads, Phys. Earth Planet. Inter., 42, 1986, 263-273.

12. Pan, E., Static response of a transversely isotropic and layered half-space due to general surface loads, Phys. Earth Planet. Inter., 54, 1989a, 353-363.

13. Pan, E., Static response of a transversely isotropic and layered half-space due to general surface loads, Phys. Earth Planet. Inter., 58, 1989b, 103-117.

Garg, N. R., S. J. Singh, and S. Manchanda, ' Static deformation of an orthotropic multilayered elastic half-space by two dimensional surface loads', Proc. Ind. Acad. Sci. (Earth Planet. Sci. ), 100, 205- 218, (1991).

Singh, S. J., S. Rani, and N. R. Garg, ' Displacements and stresses in two welded halfspaces due to two- dimensional sources', Phys. Earth. Planet. Inter (1991).

Kumar, A., Singh, S. J. & Singh, J., Deformation of two welded half-spaces due to a long inclined tensile fault, J. Earth Syst. Sci., 114, 2005, 97-103.

Singh, S. J. & Rani, S., Static deformation due to two-dimensional seismic sources embedded in an isotropic half-space in welded contact with an orthotropic half space, J. Phys. Earth, 39, 1991, 599- 618. 18. Singh, M. & Singh, S. J., Static deformation of a uniform half-space due to a very long tensile fault, ISET J. Earthquake Techn. 37, 2000, 2738.

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