Abstract
A two-dimensional model of steady-state crack propagation, in which the stress acting on the fracture surface includes a dissipative term, exhibits a dissipation-dependent effective threshold for fracture. The crack creeps very slowly at external stresses just above the Griffith threshold, and makes an abrupt transition to propagation at roughly the Rayleigh wave speed at higher stresses. When heating due to dissipation is taken into account, the model may exhibit a maximum in the crack propagation speed as a function of applied stress.

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