A model for the elastic moduli of three-dimensional fiber networks and nanocomposites

被引：65

作者：

Chatterjee, Avik P. ^{[1
]}

机构：

[1] SUNY Syracuse, ESF, Dept Chem, Syracuse, NY 13210 USA

来源：

JOURNAL OF APPLIED PHYSICS | 2006年 / 100卷 / 05期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.2336088

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A model is developed for the tensile and shear elastic moduli of three-dimensional fiber networks. The semiempirical Halpin-Tsai [J. C. Halpin and J. L. Kardos, J. Appl. Phys. 43, 2235 (1972)] equations for fiber-reinforced materials are combined with results from percolation theory and the present treatment of elastic fiber networks. A unified description of the moduli of nanocomposites containing elongated filler particles over a range of volume fractions spanning the filler percolation threshold is provided. Estimates are developed for the strains at the elastic limits under tensile and shear deformation, and model calculations are presented for the dependences of composite moduli and yield strains on particle aspect ratios and volume fractions. (c) 2006 American Institute of Physics.

引用

页数：8

共 30 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] Elasticity of Poissonian fiber networks [J].

Åström, JA ;

Mäkinen, JP ;

Alava, MJ ;

Timonen, J .

PHYSICAL REVIEW E, 2000, 61 (05) :5550-5556

[3] EXCLUDED VOLUME AND ITS RELATION TO THE ONSET OF PERCOLATION [J].

BALBERG, I ;

ANDERSON, CH ;

ALEXANDER, S ;

WAGNER, N .

PHYSICAL REVIEW B, 1984, 30 (07) :3933-3943

[4] Toughness mechanism in semi-crystalline polymer blends: I. High-density polyethylene toughened with rubbers [J].

Bartczak, Z ;

Argon, AS ;

Cohen, RE ;

Weinberg, M .

POLYMER, 1999, 40 (09) :2331-2346

[5]

Cantor C. R., 1980, BIOPHYS CHEM 2

[6] Size dependence of Young's modulus in ZnO nanowires [J].

Chen, CQ ;

Shi, Y ;

Zhang, YS ;

Zhu, J ;

Yan, YJ .

PHYSICAL REVIEW LETTERS, 2006, 96 (07)

[7] Dynamic mechanical behavior of filled polymers. I. Theoretical developments [J].

Clements, BE ;

Mas, EM .

JOURNAL OF APPLIED PHYSICS, 2001, 90 (11) :5522-5534

[8] THE ELASTICITY AND STRENGTH OF PAPER AND OTHER FIBROUS MATERIALS [J].

COX, HL .

BRITISH JOURNAL OF APPLIED PHYSICS, 1952, 3 (MAR) :72-79

[9] Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy -: art. no. 165410 [J].

Cuenot, S ;

Frétigny, C ;

Demoustier-Champagne, S ;

Nysten, B .

PHYSICAL REVIEW B, 2004, 69 (16) :165410-1

[10]

Dufresne A, 1998, J POLYM SCI POL PHYS, V36, P2211, DOI 10.1002/(SICI)1099-0488(19980915)36:12<2211::AID-POLB18>3.0.CO

← 1 2 3 →