Abstract
Three-dimensional crack growth initiation is examined under the assumption that the crack front remains smooth. Two important modeling issues, specific to three-dimensional rather than two-dimensional cracks, are addressed. First, it is established that, at each point along the crack front, the velocity and configurational force are two-dimensional vectors, lying in the local normal plane. This allows one to generalize any two-dimensional crack growth criterion to three dimensions. Second, a simple mesoscopic model to account for along-the-front non-locality is proposed. This model eliminates pathological growth patterns ubiquitous to basic models applied to three-dimensional cracks. Further, the model is straightforward to use as it relies on standard fracture properties only.
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Acknowledgements
I am grateful to my colleagues and friends for helpful discussion. Those include Mark Mear, Charles Mood, K. Ravi-Chandar, Lorenzo Sadun, and Misha Vishik (University of Texas at Austin), David Parks (MIT), John Napier (University of Pretoria), Emmanuel Detournay (University of Minnesota), and John Bassani (University of Pennsylvania). This work was supported by a grant from the National Science Foundation (CMMI 1663551), MTS fellowship at the University of Minnesota, and Moncrief Grand Challenge Faculty Award from Institute for Computational Engineering and Sciences at University of Texas at Austin.
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Rodin, G.J. Local and non-local modeling aspects of three-dimensional cracks growth initiation. Int J Fract 221, 211–220 (2020). https://doi.org/10.1007/s10704-020-00424-8
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DOI: https://doi.org/10.1007/s10704-020-00424-8