An analytical model for fracture nucleation in collapsible stratifications

Details An analytical model for fracture nucleation in collapsible stratifications An analytical model for fracture nucleation in collapsible stratifications

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006georl..3306501h&link_type=abstract

Geophysical Research Letters, Volume 33, Issue 6, CiteID L06501

Physics

Geophysics

7

Cryosphere: Snow (1827, 1863), Cryosphere: Avalanches, Mathematical Geophysics: Instability Analysis, Nonlinear Geophysics: Critical Phenomena, Physical Properties Of Rocks: Fracture And Flow

Scientific paper

In collapsible stratifications a particular type of fracture can develop for which nucleation and propagation are governed by the transformation of gravitational energy into fracture energy. The associated nucleation problem is studied for a stratification consisting of an elastic surface layer, a collapsible intermediate layer and a rigid basal layer. An analytical model for fracture nucleation is obtained by calculating the energy (`crack energy') associated with a localized collapse of the intermediate layer. The size and energy of a critical crack are evaluated as functions of continuum properties of the strata. The theory is illustrated by an application to the case of whumpfs in collapsible snow stratifications.

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