2.1. To extend the existing one-dimensional proof of wall formation to two dimensions which would enable the theory to describe a more realistic crystalline model. By incorporating crystal information such as slip system and crystal orientation, the new theory could potentially explain wall formation in two dimensions, the different stages of plasticity, grain coarsening, cell refinement, and size-dependent hardness in crystals.
2.2. To test the predictions against more microscopic simulations and experiments, and to facilitate and inspire new experimental and simulation tests by others.
2.3. To develop a finite-element-model (FEM) code to study systems with an arbitrary shape where analytical work is not possible. The software would serve as a preliminary tool to study and model other dislocation-assisted phenomena in crystal plasticity, and could potentially replace the existing plasticity code in use in today's engineering community.
2.4. To report scientific progresses to physics and engineering communities by publishing in an international journal.
2.5. To develop, nurture and educate new graduate students with interests in theoretical condensed matter physics.
