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Conclusions

In summary, our main purpose is estimation how to evolve micro-structure depending on surface migration, diffusion and initial geometry. In order to achieve an exact prediction, we divided structure evolution process into two different categories. The first one is changing ratio between surface migration and diffusion factor, and the second category is transition of initial geometry value (aspect ratio) with a fixed migration and diffusion factor. We were able to get a self-healing structure when there is only surface migration. Otherwise, if there are both surface migration and diffusion simultaneously, we could successfully get a void structure. Meanwhile, depending on the valley depth (changing an initial geometry values or aspect ratio), we can get either void or self-healing structure. As the depth is increased, the more likely you can find a void structure instead of self-healing surface. We anticipate that this void structure will be possibly used as a Li-ion battery anode and also if we put sulfur into it, this hybrid structure will be widely used as Li-sulfur battery applications.

Matlab code: m file

References

1. B. Sun, Z. Suo, W. Yang, A Finite Element Method for Simulating Interface Motion--I. Migration of Phase and Grain Boundaries. Acta Matter. 45, 1907-1915 (1997).

2. U. Bethers, J. Sennikovs, A. Timuhins, J. Virbulis, D. Zablockis, Modelling of Surface Diffusion in Structured Silicon, International Scientific Colloquium Modelling for Material Processing (2006)

3. Huang, J. M. and Yang, W., Modelling Simul. Mater., Sci. Eng. 7, 87 (1999)

4. Thomas J.R. Hughes, The Finite Element Method, linear static and dynamic finite element analysis, section (2010)

Team members

Sangeon Lee is currently a first year Ph.D student of Mechanical Engineering at the University of Michigan, College of Engineering. He is presently focusing on nano structure fabrication. He is from South Korea.

Jeong Seop Yoon is currently a first year graduate student of Mechanical Engineering at the University of Michigan, College of Engineering. He is presently focusing on Bamboo structure composite. He is from South Korea.

Haesun Park is currently a first year graduate student of Mechanical Engineering at the University of Michigan, College of Engineering. He is presently focusing on atomic simulation for battery application. He is from South Korea.  

Seungho Yu is currently a first year Ph.D student of Mechanical Engineering at the University of Michigan, College of Engineering. He is presently focusing on Li-ion battery. He is from South Korea.