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AUTHOR(S): Salma Rani
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TITLE Crustal Deformation of the Earth due to Inclined Dip-slip Fault |
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ABSTRACT The study examines a closed-form analytical solution for the plane strain problem concerning the static deformation of a homogeneous, isotropic, elastic (HIE) layer of uniform thickness lying over a rough-rigid base (RRB). This deformation is induced by a dip-slip fault at 45o with opening in the horizontal direction embedded within the elastic layer. The Airy stress function approach is employed to derive the displacement and stress (DAS) fields in the integral form by applying appropriate boundary conditions at the free surface. To analytically evaluate these integrals, the denominator term is approximated by a finite sum of exponential (FSE) terms using the method of least squares. The integral expressions for the displacements are evaluated analytically and the stresses can be derived in similar manner. This study provides insights into the role of fault geometry in crustal deformation and enhances the modeling of seismic hazard in tectonically active regions. |
KEYWORDS Airy-stress function, Continental crust, Dip-slip Fault at 45o, Least Square Approximation, Plane Strain Deformation, Two-dimensional |
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Cite this paper Salma Rani . (2025) Crustal Deformation of the Earth due to Inclined Dip-slip Fault. International Journal of Applied Physics, 10, 20-26 |
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