The Influence of Nonconductive Disk-Shaped Inclusions on the DC Conductivity of Materials

The influence of nonconductive disk-shaped inclusions (cracks) on the dc conductivity of a conducting medium has been considered. The functional dependences of an additional relative resistivity of the material on cracking factor (joining ratio) have been found for thin and thick samples. It has been found that the cracking-induced additional relative resistivity of a thick conducting material grows as a cube root of the cracking factor (for all reasonable values of the cracking factor). If the material is thin, the cracking factor dependence of the additional resistivity is linear only at very low cracking and becomes nonlinear with increasing cracking.