Abstract
A self-consistent solution for continuum-slit Barenblatt cracks with interactive chemistry is presented. Environmental species entering the crack mouth are limited in their transport along the ever-narrowing interface by molecular size restrictions. The ensuing cohesion zone behind the tip consists of three regions: an extended far region of weak solid-fluid-solid attraction; a small intermediate region of strong solid-fluid-solid repulsion; and an exclusionary near-tip intrinsic region of strong solid-solid attraction. To facilitate an analytical solution of the equations for the crack-opening displacements, the cohesion stresses are taken to be uniformly distributed within each of these zones. The magnitudes of these stresses are expressed in terms of the intersurface energies that define equilibrium crack states, for virgin and healed interfaces. Illustrative calculations of the crack profiles are given for the well-documented mica-water system. It is shown that the penetrating species cause a significant local bulge in the repulsion region, consistent with Thomson's picture of a molecular wedge.
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