Table 2 Overview of the three fundamental case studies performed and evaluated in this paper.
Dislocation source spacing along the crack front, \(\lambda \), [nm] | Mean free path for dislocation glide, \(\delta \), [nm] | Force of the obstacle, \(\phi \), [GPa] | |
|---|---|---|---|
Case study I: Variation of the mean free path, \(\delta \) | 0 | 200, 400, 600, 800, 1000, 2000, 5000, 10000 | 1000 |
Case study II: Variation of the dislocation source spacing along the crack front, \(\lambda \) | 200, 400, 600, 800, 1000 | \(\nearrow \,\infty \) | 0 |
Case study III: Simultaneous variation of the mean free path, \(\delta \), and the source spacing, \(\lambda \) | 200 (400, 600, 800, 1000) | 200 (400, 600, 800, 1000) | 0.1–1000 |
Minimum in toughness: Simultaneous variation of the mean free path, \(\delta \), and the source spacing, \(\lambda \), up to a critical value. Above this value, \(\lambda \) is set constant and only \(\delta \) is increased | \({\lambda }_{c}^{1}\) = 400; \({\lambda }_{c}^{2}\) = 600; \({\lambda }_{c}^{3}\) = 800; \({\lambda }_{c}^{4}\) = 1000; | 200–150000 | 0.3 |
Anisotropy of the toughness: | 0 | 212, 318, 424, 530, 599, 1061, 1591, 2122, 2652, 2970 | 1000 |
