Abstract
A moving boundary value problem is proposed and analytically solved for environmental crack propagation where the transport of the deleterious species is the controlling mechanism of the plateau stage of subcritical crack growth. The concentration of the corrodant diffuses along the surfaces of the crack from a stationary environmental reservoir to the moving crack tip. A minimum concentration of gas at the crack tip is required to sustain crack propagation at a given temperature. The magnitude of the crack velocity is proportional to the mass flux at the crack tip, while the diffusivity of the gas is theoretically related to the evolving crack tip opening displacement. Under a transformation of coordinates, this moving boundary value problem is mapped onto the classic Stefan problem and solved. Because the theory is based primarily on gas transport and the mechanical response of the specimen to an applied load, it can be applied to a wide class of materials and environments.
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