Homogenization procedure and Pade approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section

被引:25
作者
Andrianov, IV
Starushenko, GA
Danishevs'kyy, VV
Tokarzewski, S
机构
[1] Prydniprovska State Acad Civil Engn & Architectur, UA-320005 Dnipropetrovsk, Ukraine
[2] Ukrainian State Chem Technol Univ, Dept Math, UA-320005 Dnipropetrovsk, Ukraine
[3] Inst Fundamental Technol Res, Ctr Mech, PL-00049 Warsaw, Poland
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1999年 / 455卷 / 1989期
关键词
composite materials; effective properties; asymptotic methods; homogenization; Pade approximants;
D O I
10.1098/rspa.1999.0457
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
An analytical solution, describing the effective heat conductivity of composite materials with a periodic array of cylindrical inclusions with square cross-section, has been obtained by asymptotic methods and Pade approximants for any values of the concentration of inclusions and conductivity.
引用
收藏
页码:3401 / 3413
页数:13
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