Asymptotic study of imperfect interfaces in conduction through a granular composite material

被引：20

作者：

Andrianov, Igor V. ^{[2
]}

Bolshakov, Vladimir I. ^{[1
]}

Danishevs'kyy, Vladyslav V. ^{[1
]}

Weichert, Dieter ^{[2
]}

机构：

[1] Prydniprovska State Acad Civil Engn & Architectur, UA-49600 Dnepropetrovsk, Ukraine

[2] Rhein Westfal TH Aachen, Inst Gen Mech, D-52056 Aachen, Germany

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2010年 / 466卷 / 2121期

关键词：

composite material; asymptotic homogenization; imperfect interface; FIBER-REINFORCED COMPOSITES; THIN INTERPHASE/IMPERFECT INTERFACE; EFFECTIVE THERMAL-CONDUCTIVITY; NONLINEAR INTERFACE; THERMOELASTIC PROPERTIES; MECHANICAL-BEHAVIOR; VARIATIONAL-METHODS; WEAK INTERFACE; RESISTANCE; INCLUSION;

D O I：

10.1098/rspa.2010.0052

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：

Imperfect bonding between the constitutive components can greatly affect the properties of composite structures. We propose an asymptotic analysis of different types of imperfect interfaces arising in the problem of conduction through a simple cubic array of spherical inclusions. The performed study is based on the two-scale asymptotic homogenization method. The microscopic problem on the unit cell is solved using the underlying principles of the boundary-shape perturbation technique. The influence of the interface properties on the effective conductivity and on the local potential and flux fields is studied.

引用

页码：2707 / 2725

页数：19

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