Fracture of a Liquefied Crack and the Physics of Rayleigh Waves |
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| Authors: | L Knopoff J A Landoni |
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| Institution: | (1) Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA, 90095, U.S.A;(2) Department of Physics and Astronomy, University of California, Los Angeles, CA, 90095, U.S.A |
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| Abstract: | The standard free-surface boundary conditions for in-plane crack dynamics are shown to be identical to the conditions for
crack dynamics on a liquefied crack. The surfaces of both the free and liquefied cracks do not separate during faulting and
hence the static normal stress is not relaxed by the faulting. A crack with either free or liquid boundary conditions deforms
in the transverse direction during slip. It follows that both the free and liquefied cracks may represent solutions to the
heat-flow paradox. As an application of the proof, we derive a physical understanding of the properties of harmonic Rayleigh
waves on a uniform elastic half-space without solving a cubic equation. |
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| Keywords: | Fracture faulting boundary conditions Rayleigh waves |
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