Abstract
In agreement with dislocation theory, recent experiments show, both quantitatively
and qualitatively, how geometrically necessary dislocations (GNDs) distribute in
dislocation wall and cell structures. Hence, GND density fields are highly localized with
large gradients and discontinuities occurring between the cells. This behavior is not typical
for strain gradient crystal plasticity models. The present study employs a higher order extension
of conventional crystal plasticity theory in which the viscous slip rate is influenced
by the gradients of GND densities through a back stress. A phenomenological back stress
formulation is proposed, through which the effect of the GND gradient exponent can be
studied. It is shown that this model can lead to more localized GND distributions.
| Original language | English |
|---|---|
| Title of host publication | Plastic Behavior of Conventional and Advanced Materials: Theory, Experiment, and Modeling : Proceedings of PLASTICITY ’15 |
| Editors | Akhtar S. Khan |
| Number of pages | 3 |
| Publisher | NEAT Press |
| Publication date | 2015 |
| ISBN (Print) | 978-0-9911654-8-3 |
| Publication status | Published - 2015 |
| Event | 21st International Symposium on Plasticity and its Current Applications - Hilton Rose Hall Resort & Spa, Montego Bay, Jamaica Duration: 4 Jan 2015 → 9 Jan 2015 Conference number: 21 |
Conference
| Conference | 21st International Symposium on Plasticity and its Current Applications |
|---|---|
| Number | 21 |
| Location | Hilton Rose Hall Resort & Spa |
| Country | Jamaica |
| City | Montego Bay |
| Period | 04/01/2015 → 09/01/2015 |
Cite this
El-Naaman, S. A., Nielsen, K. L., & Niordson, C. F. (2015). Strain gradient crystal plasticity: A continuum mechanics approach to modeling micro-structural evolution. In A. S. Khan (Ed.), Plastic Behavior of Conventional and Advanced Materials: Theory, Experiment, and Modeling: Proceedings of PLASTICITY ’15 NEAT Press.