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Morphological evolution of inhomogeneities due to diffusion and epitaxy. (English) Zbl 1208.74021
Borodich, F. M. (ed.), IUTAM symposium on scaling in solid mechanics. Proceedings of the IUTAM symposium held in Cardiff, UK, 25–29 June, 2007. Dordrecht: Springer (ISBN 978-1-4020-9032-5/hbk; 978-1-4020-9033-2/ebook). IUTAM Bookseries 10, 253-261 (2009).
Summary: The morphological evolution and pattern formation of solids are very important in science and technological applications. In this paper, the morphological instabilities of a core-shell heterostructure consisting of an epitaxially stressed cylinder embedded in the finite shell are investigated when the mass transport along the surface of the shell and the interface between the cylinder and shell is controlled by surface/interface diffusion and volume diffusion, respectively. Due to the epitaxy or thermal change, a mismatch strain located in the cylinder of the core-shell heterostructure is considered. The linear instability of the surface and the interface is analyzed. It is shown that for the core-shell heterostructure of small size at a high temperature, the contribution of the surface/interface diffusion to the morphological evolution is larger than that of volume diffusion.
For the entire collection see [Zbl 1155.74003].
74E05 Inhomogeneity in solid mechanics
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