A damage model for the continuum rheology of the upper continental crust |
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| Authors: | Donald L Turcotte Margaret T Glasscoe |
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| Institution: | Department of Geology, University of California, One Shields Avenue, Davis, CA 95616, USA |
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| Abstract: | In orogenic zones it is often considered appropriate to use a continuum rheology to model the deformation of the upper continental crust. In this paper we derive an applicable rheology utilizing fiber-bundle and continuum-damage models. We show that the results are identical and yield a power relation between stress σ and strain rate
of the form σ=
ρ−1. We constrain the applicable values of ρ utilizing Omori's law for the decay of aftershocks and conclude that ρ−1 is in the range of 5–15. With this strong nonlinear viscous rheology the behavior of the deforming upper crust approaches that of a perfect-plastic material. |
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| Keywords: | Damage mechanics Damage Crustal deformation Aftershocks Rheology |
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