论纤维集合体的电阻

The electric resistance of fibre assemblies

首先建立了纤维块体在具有一对极板的试盒中纵向和横向压缩时导电情况的物理模型。据此物理模型用“无规行走”问题方法建立起数学模型，推导出纤维块体导电阻率ρ．与填充率ｆ的关系式．此式的变化趋势，跟实侧电阻率显示值随ｆ的变化相符合．沿极板纵向压缩与横向压缩对纤维块体来说是等价的．ρ随ｆ变化的原因在于纤维块体被压缩过程中纤维块体的导电通道数逐渐增多，每条通道的平均有效长度逐渐缩短．ρ－１～ｆ图线呈拉长Ｓ状，中段近似直，ｆ＝０．１５～ ０．４５ 间用直线横拟误差不大．

First, the physical model of electric conductivity of bibre agglomerates is built when it' s compressed along lengthwise and crosswise. Accordingly, the mathematical model is established, and derives a equation between fibre agglomerates resistivity ρ and rate of filling f, the equation corresponds to the practical variation. The resistiving is equal in value for fibre agglomerates to compress along lengthwise and crosswise. The cause of ρ varying along tht f is that the number of passageways of conducting electricity gradually increases and the average valid length of every passageway is shortened ρ-1-f curve is S shape, the middle part is approximate straight line, there is a small error between f=0. 15 and f= 0. 45 to use struaight line.