PERCOLATION IN A THIN PLY OF UNIDIRECTIONAL COMPOSITE

被引:11
作者
JOY, T [1 ]
STRIEDER, W [1 ]
机构
[1] UNIV NOTRE DAME,DEPT CHEM ENGN,NOTRE DAME,IN 46556
关键词
D O I
10.1177/002199837901300106
中图分类号
TB33 [复合材料];
学科分类号
摘要
A unidirectional composite is modeled as a two-dimensional cartesian square lattice of infinite width and finite thickness. Circular fiber cross sections, each contained completely within a lattice square and touching on all four sides, are placed at random within the lattice according to the fiber volume fraction. Percolation, in this system, is shown to be very sensitive to the lattice thickness. To be regarded as infinitely thick a lattice must be at least 150 fiber diameters across, and for a typical ply thickness of 20 fiber diameters the critical fiber fraction for percolation is shifted by 26% from the infinite lattice value of 0.46 to a smaller value of 0.34. © 1979, Sage Publications. All rights reserved.
引用
收藏
页码:72 / 78
页数:7
相关论文
共 11 条
[1]   INFLUENCE OF RANDOM FILAMENT PACKING ON TRANSVERSE STIFFNESS OF UNIDIRECTIONAL COMPOSITES [J].
ADAMS, DF ;
TSAI, SW .
JOURNAL OF COMPOSITE MATERIALS, 1969, 3 :368-&
[2]  
ESSAM JW, 1972, PHASE TRANSITIONS CR, V2, P197
[3]   MONTE CARLO ESTIMATES OF PERCOLATION PROBABILITIES FOR VARIOUS LATTICES [J].
FRISCH, HL ;
HAMMERSLEY, JM ;
WELSH, DJA .
PHYSICAL REVIEW, 1962, 126 (03) :949-&
[4]   PERCOLATION PROCESSES AND RELATED TOPICS [J].
FRISCH, HL ;
HAMMERSLEY, JM .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1963, 11 (04) :894-918
[5]   PERCOLATION AND CONDUCTION [J].
KIRKPATRICK, S .
REVIEWS OF MODERN PHYSICS, 1973, 45 (04) :574-588
[6]  
MITESCU C, 1976, UNE FOURMI LABYRINTH, V283, pA999
[7]  
ROUSSENQ J, 1976, J PHYS LETT-PARIS, V37, pL99, DOI 10.1051/jphyslet:0197600370509900
[8]   INTRODUCTION TO PERCOLATION THEORY [J].
SHANTE, VKS ;
KIRKPATRICK, S .
ADVANCES IN PHYSICS, 1971, 20 (85) :325-+
[9]   CRITICAL EXPONENTS FOR CONDUCTIVITY OF RANDOM RESISTOR LATTICES [J].
STRALEY, JP .
PHYSICAL REVIEW B, 1977, 15 (12) :5733-5737
[10]   CRITICAL PERCOLATION PROBABILITIES BY SERIES METHODS [J].
SYKES, MF ;
ESSAM, JW .
PHYSICAL REVIEW, 1964, 133 (1A) :A310-A315