The present paper explores the extension of a macrocrack by connecting statistically distributed microcracks. Two issues are discussed: (1) how long a semi-infinite crack can extend by connecting collinear microcracks of equal length but distributed ligament sizes; (2) how far the crack tip can shift vertically from the original crack extension line by connecting randomly positioned and oriented microcracks. Statistical analysis is employed to calculate the expected crack extension length and the vertical shift of the crack tip. The implication of the present study for the problem of a macrocrack linking to a parallel fault is addressed.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Modeling and Simulation
- Mechanics of Materials