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Morphological instability of a whisker. (English) Zbl 0942.74006
Summary: A thin, stressed, solid cylinder, a whisker, is subject to mass transport by curvature- and elastic-stress-driven surface diffusion. The stability of the cylindrical surface is examined using linear stability theory. The presence of elastic strains can excite non-axisymmetric modes, which, under certain conditions, are preferred and can give rise to helical surfaces.

MSC:
74A50 Structured surfaces and interfaces, coexistent phases
74B99 Elastic materials
82C24 Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics
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