Interface defects, reference spaces and the Frank–Bilby equation

Autor:	Jun Wang, Xiang-Yang Liu, Richard G. Hoagland, J.P. Hirth, R.C. Pond
Rok vydání:	2013
Předmět:	Tilt (optics) Symmetry operation Materials science Basis (linear algebra) Interface (Java) Mathematical analysis General Materials Science Node (circuits) Twist Electronic circuit
Zdroj:	Progress in Materials Science. 58:749-823
ISSN:	0079-6425
DOI:	10.1016/j.pmatsci.2012.10.002
Popis:	The physical basis for the Frank–Bilby equation is considered. Dual descriptions in terms of interface physics and mechanics are introduced. Natural (NDP), commensurate (CDP) and rotated (RCDP) dichromatic patterns are introduced. Burgers vectors are defined by symmetry operations or circuits in the CDP and RCDP. Structures are described for misfit arrays, tilt arrays, twist arrays, disconnections and combinations of these defects. The concepts of partitioning of elastic distortions, array energies, node formation, and the lateral spreading of defects within interfaces are considered. Examples with analytical solutions, numerical solutions and iterative solutions are presented. We elucidate some principles that emerge from the solutions and present reasons why some results differ from other methods of analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::61a56fe0595167e9412475b1f95353c4 https://doi.org/10.1016/j.pmatsci.2012.10.002 Zobrazit plný text záznamu Full Text from ScienceDirect