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layer interfacing differently to a base due to non-uniform discontinuity (slip) along a very long strike-slip fault situated in the
orthotropic elastic layer have been obtained. Four non-uniform slip profiles: parabolic, linear, cubic and elliptic along the fault are considered. Numerically, for each slip profiles the results for the present model (welded contact) are compared with the corresponding results for uniform orthotropic elastic half-space. Contour maps for different slip profiles for each type of interfacing are presented.