Stress Induced Branching of Growing Crystals on Curved Surfaces
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
If two-dimensional crystals grow on a curved surface, the Gaussian curvature of the surface induces elastic stress and affects the growth pathway. The elastic stress can be alleviated by incorporating defects or, if this is energetically unfavorable, via an elastic instability which leads to anisotropic growth with branched ribbonlike structures. This instability provides a generic route to grow defect-free crystals on curved surfaces. Depending on the elastic properties of the crystal and the geometric properties of the surface, different growth morphologies with two-, four-, and sixfold symmetry develop. Using a phase field crystal type modeling approach, we provide a microscopic understanding of the morphology selection.
Details
Original language | English |
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Article number | 135502 |
Journal | The physical review |
Volume | 116 |
Issue number | 13 |
Publication status | Published - 1 Apr 2016 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-2564-3697/work/43437568 |
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WOS | 000373202000013 |
Scopus | 84963647565 |
Keywords
Research priority areas of TU Dresden
DFG Classification of Subject Areas according to Review Boards
Keywords
- Stress induced branching, growing crystals, curved substrates