Elastic Solids with Many Cracks: A Simple Method of Analysis

摘要

A simple method of stress analysis in elastic solids with many cracks is proposed. It is based on the superposition technique and the ideas of self-consistency applied to the average tractions on individual cracks. The method is applicable to both two-and three-dimensional crack arrays of arbitrary geometry. It yields approximate analytical solutions for the stress intensity factors (SIFs) accurate up to quite close distances between cracks. It is also suggested how a full stress field can be approximately constructed. Applications to configuration crack-microcrack array and to a problem of effective elastic properties of a solid with cracks are considered.