A CONTINUOUS DISLOCATION MODEL OF MODE I CRACK

Abstract eng:
A dislocation-free zone model for centrally symmetrical mode I crack of finite length is presented on the basis of continuous dislocation distribution model. The crack and the plastic zones at the crack tip are simulated by continuous distribution of dislocations. A simultaneous set of singular integral equations has been derived for the configuration of a crack and two pairs of symmetrical slip bands. This equation set reduces to the case of Chang & Ohr (1981) when the sliding plane is in the prolongation of the crack plane. Numerical results demonstrate that an increase in stress can give rise to dislocation density increment, and thus excite dislocation activities. When the ratio between the lengths of the crack and the dislocation-free zone is 100, the distribution of dislocations is in proximity to that of the case for the infinite-length crack. The derived dislocation-free zone condition simplifies the measurement of experimental parameters.

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