Relationship between Fracturing of a Microcracking Solid and Its EffectiveElastic Constants

摘要

It is argued that, contrary to the spirit of many damage models, there is nosimple correlation between fracturing of a brittle microcracking solid and the change of its effective elastic moduli. Physically, the absence of such a correlation is explained by the fact that the fracture-related properties (like stress intensity factors) are determined by local fluctuations of the microcrack field geometry whereas the effective elastic constants are the volume average quantities, relatively insensitive to such fluctuations. We discuss whether a correlation exists between the effective elastic moduli of a solid with multiple cracks and the fracture-related properties (like stress intensity factors, SIFs).