Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; August 1974; v. 64; no. 4; p. 1263-1274
© 1974 Seismological Society of America
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Rayleigh waves in a half-space with bounded variation in density and rigidity

C. R. A. RAO

SCHOOL OF MATHEMATICAL SCIENCES, FLINDERS UNIVERSITY OF S.A., BEDFORD PARK, Australia , 5042

Abstract

The stress equations of motion of elasticity are solved by the power series method for an inhomogeneous, isotropic elastic semi-space whose rigidity modulus µ and density {rho} are defined by

Formula
The period equation for Rayleigh waves is derived and discussed numerically. The solutions may also be useful for body-wave studies.






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