Elastic solids with many cracks: A simple method of analysis

Abstract 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 a configuration “crack-microcrack array” and to a problem of effective elastic properties of a solid with cracks are considered.

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