BOUNDS FOR FIELD FLUCTUATIONS IN 2-PHASE MATERIALS

被引：14

作者：

AXELL, J

机构：

[1] Courant Institute of Mathematical Sciences, New York, NY 10012

来源：

JOURNAL OF APPLIED PHYSICS | 1992年 / 72卷 / 04期

关键词：

D O I：

10.1063/1.351779

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper we obtain lower and upper bounds on the field fluctuations in two-phase, isotropic, statistically homogeneous materials. The bounds are optimal in two dimensions, since they are attained by certain geometries, and in three dimensions two of the four bounds are optimal. The other two are believed to be good, and may be optimal. The bounds improve on earlier work by Beran [J. Math. Phys. 21, 2583 (1980)].

引用

收藏

页码：1217 / 1220

页数：4

相关论文

共 18 条

[1] ON THE EFFECTIVE CONDUCTIVITY OF POLYCRYSTALS AND A 3-DIMENSIONAL PHASE-INTERCHANGE INEQUALITY [J].

AVELLANEDA, M ;

CHERKAEV, AV ;

LURIE, KA ;

MILTON, GW .

JOURNAL OF APPLIED PHYSICS, 1988, 63 (10) :4989-5003

[2] ELECTRICAL-CONDUCTION IN CHECKERBOARD GEOMETRIES [J].

BAO, KD ;

AXELL, J ;

GRIMVALL, G .

PHYSICAL REVIEW B, 1990, 41 (07) :4330-4333

[3] FIELD FLUCTUATIONS IN A 2-PHASE RANDOM MEDIUM [J].

BERAN, MJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (10) :2583-2585

[4]

BERAN MJ, 1968, STATISTICAL CONTINUU

[5] DIELECTRIC-CONSTANT OF A COMPOSITE-MATERIAL - PROBLEM IN CLASSICAL PHYSICS [J].

BERGMAN, DJ .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1978, 43 (09) :378-407

[6] CALCULATION OF BOUNDS FOR SOME AVERAGE BULK PROPERTIES OF COMPOSITE-MATERIALS [J].

BERGMAN, DJ .

PHYSICAL REVIEW B, 1976, 14 (10) :4304-4312

[7] FIELD FLUCTUATIONS IN MULTICOMPONENT MIXTURES [J].

BOBETH, M ;

DIENER, G .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1986, 34 (01) :1-17

[8] A VARIATIONAL APPROACH TO THEORY OF EFFECTIVE MAGNETIC PERMEABILITY OF MULTIPHASE MATERIALS [J].

HASHIN, Z ;

SHTRIKMAN, S .

JOURNAL OF APPLIED PHYSICS, 1962, 33 (10) :3125-&

[9]

HERMANN HJ, 1990, STATISTICAL PHYSICS

[10]

LANDAUER R, 1977, C P, V40