|About this Abstract
||2018 TMS Annual Meeting & Exhibition
||2018 Technical Division Student Poster Competition
||SPG-41: Simulating Dislocation Patterning at the Micro Scale Using the Schnakenberg Model
||Aaditya Lakshmanan, Veera Sundararaghavan
|On-Site Speaker (Planned)
The deformation behavior of crystalline solids in the plastic regime is primarily driven by dislocation dynamics. A number of localization phenomena can be directly attributed to the collective behavior of dislocation populations forming patterns, which makes appropriate modeling of dislocation dynamics important, albeit in a homogenized sense. Analogy is established between interacting dislocation populations and similar phenomena occurring in chemical and biological processes, where reaction-diffusion models have played a vital role. The present study aims at exploring reaction-diffusion equations for modeling the dynamics of dislocation populations, physically motivated by the characteristics of individual dislocations. The emergence of stable patterns from the homogeneous equilibrium state is interpreted as a Turing instability, and modeled using a semi-implicit finite difference scheme. The corresponding parameter space is explored to establish necessary conditions for pattern formation, and their physical interpretation is outlined.