INVARIANT-PLANE AND INVARIANT-LINE DEFORMATION CRITERIA AND THEIR APPLICATION TO INTERFACE CRYSTALLOGRAPHY

被引:16
作者
KATO, M
机构
[1] Department of Materials Science and Engineering, Tokyo Institute of Technology, Yokohama 227, 4259 Nagatsuta, Midori-Ku
来源
MATERIALS TRANSACTIONS JIM | 1992年 / 33卷 / 02期
关键词
CRYSTALLOGRAPHY; GEOMETRY; INTERFACE; INVARIANT-PLANE DEFORMATION; INVARIANT-LINE DEFORMATION; ORIENTATION RELATIONSHIP; LATTICE CORRESPONDENCE; MARTENSITIC TRANSFORMATION; EPITAXY; THIN FILM;
D O I
10.2320/matertrans1989.33.89
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Simple geometrical approaches to interface crystallography based on the invariant-plane and invariant-line deformation criteria have been overviewed. Using matrix algebra, the mathematical implications of these criteria are first discussed. To elucidate the physical meaning and the applicability of the invariant-plane deformation criterion, the re-formulation procedure of the phemonemological crystallographic theories of martensitic transformations using the infinitesimal-deformation approach is surveyed. As the application of the invariant-line deformation criterion, epitaxial relationships between deposit thin-film crystals and substrate crystals are analyzed. It has been demonstrated that these simple geometrical criteria are very useful in explaining various features of the crystallography of interfaces.
引用
收藏
页码:89 / 96
页数:8
相关论文
共 48 条
[1]   ON GEOMETRY OF GRAIN AND PHASE BOUNDARIES .I. GENERAL THEORY [J].
BOLLMANN, W .
PHILOSOPHICAL MAGAZINE, 1967, 16 (140) :363-&
[2]   ON GEOMETRY OF GRAIN AND PHASE BOUNDARIES .2. APPLICATIONS OF GENERAL THEORY [J].
BOLLMANN, W .
PHILOSOPHICAL MAGAZINE, 1967, 16 (140) :383-&
[3]   THE CRYSTALLOGRAPHY OF MARTENSITE TRANSFORMATIONS .3. FACE-CENTRED CUBIC TO BODY-CENTRED TETRAGONAL TRANSFORMATIONS [J].
BOWLES, JS ;
MACKENZIE, JK .
ACTA METALLURGICA, 1954, 2 (02) :224-234
[4]  
BOWLES JS, 1954, ACTA METALL MATER, V2, P129, DOI 10.1016/0001-6160(54)90102-9
[5]  
BOWLES JS, 1954, ACTA METALL, V2, P138
[6]  
BRUCE LA, 1978, PHILOS MAG A, V38, P223
[7]   ORIENTATION RELATIONSHIPS IN PRECIPITATION SYSTEMS [J].
DAHMEN, U .
ACTA METALLURGICA, 1982, 30 (01) :63-73
[8]  
DAHMEN U, 1987, SCRIPTA METALL, V21, P1027
[9]   THE STRUCTURE OF INTERPHASE BOUNDARIES AND THE LEDGEWISE GROWTH OF PRECIPITATES IN METALS AND ALLOYS [J].
ENOMOTO, M ;
FURUHARA, T .
TETSU TO HAGANE-JOURNAL OF THE IRON AND STEEL INSTITUTE OF JAPAN, 1991, 77 (06) :735-745
[10]   THE ELASTIC FIELD OUTSIDE AN ELLIPSOIDAL INCLUSION [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 252 (1271) :561-569