Published May 2022
| Submitted
Journal Article
Open
A Proof of Taylor Scaling for Curvature-Driven Dislocation Motion Through Random Arrays of Obstacles
- Creators
- Courte, Luca
- Dondl, Patrick
- Ortiz, Michael
Abstract
We prove Taylor scaling for dislocation lines characterized by line-tension and moving by curvature under the action of an applied shear stress in a plane containing a random array of obstacles. Specifically, we show—in the sense of optimal scaling—that the critical applied shear stress for yielding, or percolation-like unbounded motion of the dislocation, scales in proportion to the square root of the obstacle density. For sufficiently small obstacle densities, Taylor scaling dominates the linear-scaling that results from purely energetic considerations and, therefore, characterizes the dominant rate-limiting mechanism in that regime.
Additional Information
© 2022 Springer. Received 20 June 2021; Accepted 18 February 2022; Published 19 March 2022. LC acknowledges support from the Fonds National de la Recherche, Luxembourg (AFR Grant 13502370). PWD gratefully acknowledges partial support from the Deutsche Forschungsgemeinschaft (Grant No. Do 1412/4-1 within SPP 2265). MO gratefully acknowledges support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via project 211504053 - SFB 1060 and project 390685813 - GZ 2047/1 - HCM. Data availibility: This manuscript has no associated data. Declaration of Interest: none.Attached Files
Submitted - 2106.00798.pdf
Files
2106.00798.pdf
Files
(442.1 kB)
Name | Size | Download all |
---|---|---|
md5:9aee9b7f2a02a1b2728543effba10ab0
|
442.1 kB | Preview Download |
Additional details
- Eprint ID
- 109925
- Resolver ID
- CaltechAUTHORS:20210719-210159826
- 13502370
- Fonds National de la Recherche (Luxembourg)
- 1412/4-1 - SPP 2265
- Deutsche Forschungsgemeinschaft (DFG)
- 211504053 - SFB 1060
- Deutsche Forschungsgemeinschaft (DFG)
- 390685813 - GZ 2047/1
- Deutsche Forschungsgemeinschaft (DFG)
- Created
-
2021-07-19Created from EPrint's datestamp field
- Updated
-
2022-04-19Created from EPrint's last_modified field
- Caltech groups
- GALCIT