Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; December 1973; v. 63; no. 6-1; p. 1885-1893
© 1973 Seismological Society of America
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Surface instability due to initial compressive stress

E. J. BRUNELLE

DEPARTMENT OF AERONAUTICS AND ASTRONAUTICS RENSSELAER POLYTECHNIC INSTITUTE, TROY, NEW YORK 12181

Abstract

Utilizing a linearized theory of isotropic, homogeneous elasticity that includes the effects of initial stress, it is demonstrated that Rayleigh and Love surface instabilities occur when the compressive stress reaches appropriate critical values. The Rayleigh surface instability exists for a half-space, as well as for a finite slab, and the critical stress value depends only on Poisson's ratio. The Love surface instability exists for a layer and a substratum, and the critical stress value depends on two parameters: the ratio of the shear moduli and a nondimensional number related to the geometry of the layer. It is suggested that these two instabilities may offer possible, although highly idealized, mechanisms for earthquake initiation and prehistoric land-mass formations such as mountain chains.







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Copyright © 1973 by the Seismological Society of America.