TRANSPORT-PROPERTIES OF 2-DIMENSIONAL TILINGS WITH CORNERS

被引:14
作者
HELSING, J
机构
[1] Department of Theoretical Physics, Royal Institute of Technology
来源
PHYSICAL REVIEW B | 1991年 / 44卷 / 21期
关键词
D O I
10.1103/PhysRevB.44.11677
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A method for numerical calculation of the effective conductivity of a periodic array of cells is presented. Knowledge of bases for the space of solutions to the electrostatic equation in a cell is assumed. The method involves projection of the electric potentia.1 on these bases. Applications are made on two-dimensional two-phase tilings where polygons meet in bow-tie-shaped corners and the conductivity ratio between the phases is high. Examples of numerical accuracy are given.
引用
收藏
页码:11677 / 11682
页数:6
相关论文
共 20 条
[1]  
[Anonymous], 1892, PHILOS MAG
[2]   ELECTRICAL-CONDUCTION IN CHECKERBOARD GEOMETRIES [J].
BAO, KD ;
AXELL, J ;
GRIMVALL, G .
PHYSICAL REVIEW B, 1990, 41 (07) :4330-4333
[3]   DIELECTRIC-CONSTANT OF A 2-COMPONENT GRANULAR COMPOSITE - PRACTICAL SCHEME FOR CALCULATING THE POLE SPECTRUM [J].
BERGMAN, DJ .
PHYSICAL REVIEW B, 1979, 19 (04) :2359-2368
[4]   LARGE CURRENTS IN RANDOM RESISTOR NETWORKS [J].
CHAN, SK ;
MACHTA, J ;
GUYER, RA .
PHYSICAL REVIEW B, 1989, 39 (13) :9236-9239
[5]   THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396
[6]   CONDUCTING PROPERTIES OF 2-PHASE MATERIALS [J].
FOGELHOLM, R ;
GRIMVALL, G .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (06) :1077-1084
[7]   NEW METHOD FOR EVALUATING THE DC EFFECTIVE CONDUCTIVITIES OF COMPOSITES WITH PERIODIC STRUCTURE [J].
GU, GQ ;
TAO, RB .
PHYSICAL REVIEW B, 1988, 37 (15) :8612-8617
[8]   CONDUCTION IN INHOMOGENEOUS MATERIALS - HOT AND HIGH-FIELD SPOTS [J].
HELSING, J ;
AXELL, J ;
GRIMVALL, G .
PHYSICAL REVIEW B, 1989, 39 (13) :9231-9235
[9]   CONDUCTION IN A 2-PHASE PLANE WITH DIAMOND-SHAPED TILING [J].
HELSING, J ;
GRIMVALL, G ;
BAO, KD .
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (07) :1958-1960
[10]   EFFECTIVE CONDUCTIVITY OF PERIODIC COMPOSITES COMPOSED OF 2 VERY UNEQUAL CONDUCTORS [J].
KELLER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (10) :2516-2520