Matched asymptotics show cuspidal gorges produce Williams crack-tip fields with r^{-1/2} stress while ridges support asymptotically rigid bounded-stress fields, distinct from high-energy truncated-tip branches, with FEM confirmation.
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Matched asymptotics of Rayleigh-wave fields near cuspidal ridges and gorges
Matched asymptotics show cuspidal gorges produce Williams crack-tip fields with r^{-1/2} stress while ridges support asymptotically rigid bounded-stress fields, distinct from high-energy truncated-tip branches, with FEM confirmation.