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• W2113642172 abstract "A modified Griffith criterion for a two-dimensional array of aligned elliptical cracks with a long-range interaction potential is presented. In accordance with observation, the pattern of cracks is assumed to be fractal, with a two-point correlation dimension Dc indicating a power-law distribution of crack spacings r, and a power-law exponent D of the crack length distribution. From a simple dislocation theory of the seismic source D is proportional to the seismic b-value if an individual earthquake or acoustic emission is produced by displacement on a specific fault or crack in the population. As a result, the theory is applicable to incremental damage rather than the long-term evolution of crack systems with large displacements. The long-range interaction between cracks is taken to be elastic, implying a positive interaction potential proportional to r−1. Two models are presented for the spatio-temporal evolution of the resulting seismicity due to: (A) progressive alignment of epicentres along an incipient fault plane; and (B) clustering of epicentres around potential nucleation points on an existing fault trace." @default.
• W2113642172 created "2016-06-24" @default.
• W2113642172 creator A5051832739 @default.
• W2113642172 date "1992-12-01" @default.
• W2113642172 modified "2023-09-24" @default.
• W2113642172 title "Damage mechanics with long-range interactions: correlation between the seismic<i>b</i>-value and the fractal two-point correlation dimension" @default.
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• W2113642172 doi "https://doi.org/10.1111/j.1365-246x.1992.tb02110.x" @default.
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