Abstract
Basic solutions are obtained for edge-cracks lying along the primary slip plane in a single crystal. The study is motivated by Stage I fatigue crack growth wherein crack orientation is controlled by the slip direction and continued growth is dependent on the crack overcoming barriers to slip. Plasticity is assumed to occur as slip along planes inclined at 45^ to the surface. Problems where slip is limited to persistent slip bands are considered side-by-side with the problem where slip is not confined. Results for both monotonic and cyclic loadings are presented, with emphasis on the crack tip opening and sliding displacements. Both small and large scale yielding are considered. Preliminary results are given for interaction with barriers to slip, such as a grain boundary.
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Hutchinson, J.W., Tvergaard, V. Edge-Cracks in Single Crystals Under Monotonic and Cyclic Loads. International Journal of Fracture 99, 81–95 (1999). https://doi.org/10.1023/A:1018323725736
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DOI: https://doi.org/10.1023/A:1018323725736