Theory of dendritic growth in three dimensions

Autor:	Martine Ben Amar, Efim Brener
Rok vydání:	1994
Předmět:	Growth velocity Paraboloid Dendrite (crystal) Materials science Mechanics of Materials Differential equation Mechanical Engineering Mathematical analysis General Materials Science Crystal growth Growth rate Condensed Matter Physics Anisotropy
Zdroj:	Materials Science and Engineering: A. 178:147-152
ISSN:	0921-5093
DOI:	10.1016/0921-5093(94)90533-9
Popis:	We studied the selection of the shape and growth velocity of three-dimensional dendritic crystals in cubically anisotropic materials. In the framework of asymptotics beyond all orders we derive the inner boundary-layer equation for the non-axisymmetric shape correction to the Ivantsov paraboloid shape. The solvability condition for this equation provides selection for both the velocity and the shape. The agreement with available numerical and experimental results is reasonably good.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a410b09be08020149c75cf15491ae759 https://doi.org/10.1016/0921-5093(94)90533-9 Zobrazit plný text záznamu