Thin interphase/imperfect interface in conduction

被引:151
作者
Hashin, Z [1 ]
机构
[1] Tel Aviv Univ, Fac Engn, IL-69978 Tel Aviv, Israel
关键词
D O I
10.1063/1.1337936
中图分类号
O59 [应用物理学];
学科分类号
摘要
Thin interphase between two media is modeled in terms of imperfect interface conditions in the context of potential theory, thus for conduction, dielectric behavior, and permeability. There is no limitation on the magnitude of interphase material conductivity. The imperfect interface conditions involve interface discontinuities of potential and normal component of flux. The theory is tested by application to the boundary value problem of a coated inclusion and to evaluation of effective conductivity of composites with coated spherical particles. Very accurate agreement with three phase solutions of those problems is obtained. (C) 2001 American Institute of Physics.
引用
收藏
页码:2261 / 2267
页数:7
相关论文
共 17 条
[1]   THE EFFECTIVE CONDUCTIVITY OF COMPOSITES WITH IMPERFECT THERMAL CONTACT AT CONSTITUENT INTERFACES [J].
BENVENISTE, Y ;
MILOH, T .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1986, 24 (09) :1537-1552
[3]   Effective conductivity of periodic arrays of spheres with interfacial resistance [J].
Cheng, H ;
Torquato, S .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1956) :145-161
[4]   Effective conductivity of dispersions of spheres with a superconducting interface [J].
Cheng, H ;
Torquato, S .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1961) :1331-1344
[6]  
Hashin Z., 1962, J APPL PHYS, V33, P1514
[7]  
HASHIN Z, 1974, NASA CR
[8]   EFFECTIVE THERMAL-CONDUCTIVITY OF COMPOSITES WITH INTERFACIAL THERMAL BARRIER RESISTANCE [J].
HASSELMAN, DPH ;
JOHNSON, LF .
JOURNAL OF COMPOSITE MATERIALS, 1987, 21 (06) :508-515
[9]   PHENOMENA OF TRANSMISSION ACROSS THIN-LAYERS OF HIGH CONDUCTIVITY [J].
HUY, HP ;
SANCHEZP.E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :284-309
[10]   Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites [J].
Lipton, R .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1973) :1371-1382