A single crystal beam bent in double slip
Materials Science
2015-09-21 v1
Abstract
The theory of plastic bending of single crystal beam having two active slip systems is proposed. Applying the variational-asymptotic method we reduce the energy functional of the beam to the one-dimensional energy functional which admits analytical solutions for the symmetric slip systems. The threshold value at the onset of plastic yielding, the dislocation density, as well as the moment-curvature curve are found. We solve also a similar problem that takes the energy dissipation into account.
Cite
@article{arxiv.1509.05761,
title = {A single crystal beam bent in double slip},
author = {Xiangyu Cui and Khanh Chau Le},
journal= {arXiv preprint arXiv:1509.05761},
year = {2015}
}
Comments
27 pages, 10 figures