Geodesic
Morphological instability of pores and tubules
Dimitri J. Kirill1 ; Stephen H. Davis2 ; Michael J. Miksis2 ; Peter W. Voorhees2
1University of Minnesota, Minneapolis, United States
2Northwestern University, Evanston, United States
Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 371-394

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DOI

We present a linear stability analysis of a uniaxially stressed, hollow cylindrical tubule, where the mass transport mechanism is surface diffusion driven by surface curvature- and elastic-energy. We find that there are always two distinct eigenmodes for any choice of wavenumbers, applied stress, and geometry. We also find that applied stress has a destabilizing effect, increasing the range of unstable wavenumbers. For any choice of applied stress and geometry, the most dangerous mode is axisymmetric, and can be either sinuous or varicose depending on choices of geometry and applied stress. The case of a cylindrical pore in a stressed infinite solid emerges as a limiting case.
DOI : 10.4171/ifb/66
Classification : 46-XX, 60-XX
Mots-clés : Interfaces; morphological stability; surface diffusion

Dimitri J. Kirill  1   ; Stephen H. Davis  2   ; Michael J. Miksis  2   ; Peter W. Voorhees  2

1 University of Minnesota, Minneapolis, United States
2 Northwestern University, Evanston, United States 
Dimitri J. Kirill; Stephen H. Davis; Michael J. Miksis; Peter W. Voorhees. Morphological instability of pores and tubules. Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 371-394. doi: 10.4171/ifb/66
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     pages = {371--394},
     year = {2002},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/66/}
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