About this Abstract |
Meeting |
2022 TMS Annual Meeting & Exhibition
|
Symposium
|
Algorithm Development in Materials Science and Engineering
|
Presentation Title |
An Examination of the Dislocation Orientation Distribution Function as Test for CDD Theories |
Author(s) |
Jose Manuel Torres Lopez, Joseph Pierre Anderson, Anter El-Azab |
On-Site Speaker (Planned) |
Jose Manuel Torres Lopez |
Abstract Scope |
Line defects known as dislocations are the carriers of plastic deformation in crystalline materials. Because of the computational limitations of discrete dislocation simulations, the evolution of mesoscale plasticity is often studied using continuum dislocation dynamics (CDD) theories. In this presentation, we contemplate the approximations made by two common CDD models: the vector-density theory assumes the underlying dislocations to be parallel to the continuum vector-density, while higher-order models rely on parallel dislocations having equal curvature. This paper numerically evaluates these postulates by means of local probability density functions for orientations and curvatures. To do this, we introduce a partition of the material sample into sub-volumes, and examine statistical measures of the dislocation distribution within each sub-volume. It is found that the probability functions are concentrated around the directions of the mean fields (vector-density and curvature density). In particular, this validates the vector-density approach for suitably small scales. |
Proceedings Inclusion? |
Planned: |
Keywords |
Other, Other, Other |