CONDUCTION IN A 2-PHASE PLANE WITH DIAMOND-SHAPED TILING

被引:6
作者
HELSING, J [1 ]
GRIMVALL, G [1 ]
BAO, KD [1 ]
机构
[1] BEIJING UNIV,DEPT PHYS,BEIJING 100871,PEOPLES R CHINA
关键词
D O I
10.1063/1.529213
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The effective conductivity of a two-phase two-dimensional composite with diamond-shaped tiling is considered. This analysis, based on a projection of the boundary conditions on linear combinations of solutions to the electrostatic equation that are orthonormal on the boundary, generalizes results by Keller [J. Math. Phys. 28, 2516 (1987)] and others. Numerical results are given for several conductivity ratios of the two phases and for varying obtuse angles of the tiles. Special emphasis is given to very large and very small conductivity differences, and very elongated tiles.
引用
收藏
页码:1958 / 1960
页数:3
相关论文
共 17 条
[1]   CONDUCTANCE FLUCTUATIONS IN WEAKLY INHOMOGENEOUS FINITE-SIZE RANDOM-MEDIA [J].
AXELL, J ;
HELSING, J .
PHYSICAL REVIEW B, 1990, 42 (07) :4471-4476
[2]   ELECTRICAL-CONDUCTION IN CHECKERBOARD GEOMETRIES [J].
BAO, KD ;
AXELL, J ;
GRIMVALL, G .
PHYSICAL REVIEW B, 1990, 41 (07) :4330-4333
[3]  
BERDICHEVSKII VL, 1985, VESTN MOSK U MAT, V40, P56
[4]   CALCULATION OF BOUNDS FOR SOME AVERAGE BULK PROPERTIES OF COMPOSITE-MATERIALS [J].
BERGMAN, DJ .
PHYSICAL REVIEW B, 1976, 14 (10) :4304-4312
[5]   LARGE CURRENTS IN RANDOM RESISTOR NETWORKS [J].
CHAN, SK ;
MACHTA, J ;
GUYER, RA .
PHYSICAL REVIEW B, 1989, 39 (13) :9236-9239
[6]   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
[7]   CONDUCTION IN INHOMOGENEOUS MATERIALS - HOT AND HIGH-FIELD SPOTS [J].
HELSING, J ;
AXELL, J ;
GRIMVALL, G .
PHYSICAL REVIEW B, 1989, 39 (13) :9231-9235
[8]   RANDOM-WALK APPROACH TO THE 2-COMPONENT RANDOM-CONDUCTOR MIXTURE - PERTURBING AWAY FROM THE PERFECT RANDOM RESISTOR NETWORK AND RANDOM SUPERCONDUCTING-NETWORK LIMITS [J].
HONG, DC ;
STANLEY, HE ;
CONIGLIO, A ;
BUNDE, A .
PHYSICAL REVIEW B, 1986, 33 (07) :4564-4573
[9]   EFFECTIVE CONDUCTIVITY OF PERIODIC COMPOSITES COMPOSED OF 2 VERY UNEQUAL CONDUCTORS [J].
KELLER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (10) :2516-2520
[10]   THEOREM ON CONDUCTIVITY OF COMPOSITE MEDIUM [J].
KELLER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (04) :548-&