Bending crystals: Emergence of fractal dislocation structures

Details Bending crystals: Emergence of fractal dislocation structures Bending crystals: Emergence of fractal dislocation structures

2010-01-28

arxiv.org/abs/1001.5053v2

Phys. Rev. Lett. 105, 105501 (2010)

Physics

Condensed Matter

Materials Science

4 pages, 4 figures, 5 movies (They can be found at http://www.lassp.cornell.edu/sethna/Plasticity/SelfSimilarity.html .) In

Scientific paper

10.1103/PhysRevLett.105.105501

We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar structures strikingly similar to those seen experimentally - reproducing both the fractal morphologies and some features of the scaling of cell sizes and misorientations analyzed experimentally. Our model provides a framework for understanding emergent dislocation structures on the mesoscale, a bridge across a computationally demanding mesoscale gap in the multiscale modeling program, and a new example of self-similar structure formation in non-equilibrium systems.

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