Physics – Geophysics
Scientific paper
2010-07-13
G. Yakovlev, J.D. Gran, D.L. Turcotte, J.B. Rundle, J.R. Holliday, W. Klein, A damage-mechanics model for fracture nucleation
Physics
Geophysics
In Press, Corrected Proof, Available online 13 June 2010, ISSN 0167-8442, (http://www.sciencedirect.com/science/article/B6V5
Scientific paper
10.1016/j.tafmec.2010.06.002.
In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to the fibers of a fiber bundle. Time to failure for each element is specified from a Poisson distribution. The hazard rate is assumed to have a power-law dependence on stress. When an element fails it is removed, the stress on a failed element is redistributed uniformly to a specified number of neighboring elements in a given range of interaction. Damage is defined to be the fraction of elements that have failed. Time to failure and modes of rupture propagation are determined as a function of the hazard-rate exponent and the range of interaction.
Gran Joseph D.
Klein William
Rundle John B.
Turcotte Donald L.
Yakovlev Gleb
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