Thermal conductivity of a material containing cracks of arbitrary shape

被引：31
作者：
Sevostianov, Igor [1 ]
机构：
[1] New Mexico State Univ, Dept Mech Engn, Las Cruces, NM 88003 USA
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2006年 / 44卷 / 8-9期
关键词：
crack; conductivity; heat flux; effective properties;
D O I：
10.1016/j.ijengsci.2006.04.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The problem of thermal conductivity of a material containing microcracks of arbitrary shape (including non-flat ones) is considered. The resistivity contribution tensor of a crack - the quantity that determines the decrease in the overall conductive properties of a solid due to introduction of such cracks - is derived on the basis of the solution for the strength of a singularity of the heat flux near a crack tip (heat flux intensity factor). The approach is illustrated with several examples. It is also shown how the resistivity contribution tensor can be used to calculate effective conductive properties in the framework of various self-consistent schemes - effective media, effective field and differential scheme. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：513 / 528
页数：16
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