Abstract

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.

中文翻译：

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盘状非导电夹杂物对材料直流电导率的影响

摘要

已经考虑了非导电盘状夹杂物（裂纹）对导电介质的直流电导率的影响。对于薄样品和厚样品，已经发现该材料的附加相对电阻率对破裂系数（结合比）的功能依赖性。已经发现，由裂纹引起的厚导电材料的附加相对电阻率以裂纹因数的立方根增长（对于所有合理的裂纹因数值）。如果材料很薄，则附加电阻率的裂纹因数依赖性仅在非常低的裂纹时才是线性的，而随着裂纹的增加而变成非线性的。