6533b7d7fe1ef96bd126783c
RESEARCH PRODUCT
On the dynamics of dislocation patterning
Olivier PolitanoJ.m. SalazarDaniel Walgraefsubject
PhysicsPartial differential equationDiffusion equationComputer simulationMechanical EngineeringCondensed Matter PhysicsInstabilityStress (mechanics)Condensed Matter::Materials ScienceClassical mechanicsMechanics of MaterialsReaction–diffusion systemGeneral Materials ScienceStatistical physicsDislocationBifurcationdescription
Recent computer simulations on dislocation patterning have provided remarkable results in accordance with empirical laws. Moreover, several analytical models on dislocation dynamics have provided qualitative insight on dislocation patterning. However, a model, based on partial differential equations, which gives a dynamical evolution of dislocation patterns in function of measurable variables still missing. Here, we give a re-formulation of a model proposed some years ago. From this formulation, we obtained that the onset of a dislocation instability is related to the applied stress. The analytical and numerical results reported are partial and studies on this direction are under development.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-01 | Materials Science and Engineering: A |