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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© 2006 Birkhäauser Verlag
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Knopoff, L., Landoni, J. (2006). Fracture of a Liquefied Crack and the Physics of Rayleigh Waves. In: Yin, Xc., Mora, P., Donnellan, A., Matsu’ura, M. (eds) Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7992-6_2
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DOI: https://doi.org/10.1007/978-3-7643-7992-6_2
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Publisher Name: Birkhäuser Basel
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