Abstract
The mechanics of a plane strain Mode I growing crack under transient conditions is investigated using self-similar solutions. For small crack extensions, the evolution of the near tip stress field of Hui and Riedel (HR) is posed as a singular perturbation problem. For small crack extensions, the HR field, the HRR field and the elastic Kl field coexist near the crack tip, one inside the other. The regions of dominance of these fields are estimated. An approximate solution is provided for the singular perturbation problem. The transition time of Riedel and Rice, which is strictly accurate for stationary cracks, remains accurate for growing cracks provided that crack extension is small. The effect of crack growth rate on the small scale yielding assumption is also studied. For fast crack growth, it is shown that creep relaxation can be neglected and results of steady-state analysis can be modified to describe the near tip stress fields. Application of the results to non-self-similar crack growth is also discussed.
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