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Yayın Asymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)(Işık University Press, 2015) Hasanoğlu, Elman; Negin, MasoudThe dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves in initially stressed bodies for small deformations is used and the well-known WKB high-frequency asymptotic technique is applied for the theoretical derivations. Numerical results on the action of the influence of the initial stresses on the wave propagation velocity for a geophysical example are presented and discussed.Yayın Asymptotic solutions of seismic surface waves near caustics(Işık Üniversitesi, 2014-06-06) Negin, Masoud; Hasanoğlu, Elman; Işık Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Yüksek Lisans ProgramıThe dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves in initially stressed bodies for small deformations is used and the well-known WKB highfrequency asymptotic technique is applied for the theoretical derivations. The influence of the imperfectness of the contact conditions on Love wave propagation velocity has also been studied through the influence of the interface imperfectness parameter on this velocity. Numerical results on the action of the imperfectness of the contact conditions on the wave dispersion curves, as well as on the influence of the initial stresses in the constituents on the wave propagation velocity for a geophysical example are presented and discussed. Possible asymptotic solutions in the vicinity of caustic points are also considered.