Lyakhovsky, V. and Hamiel, Y. and Ampuero, J.-P. and Ben-Zion, Y. (2009) Non-linear damage rheology and wave resonance in rocks. Geophysical Journal International, 178 (2). pp. 910-920. ISSN 0956-540X http://resolver.caltech.edu/CaltechAUTHORS:20090911-151635277
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We address various deformational aspects of damaged materials with theoretical analyses and numerical simulations based on a non-linear continuum damage model. Quasi-static simulations of damage accumulation under cyclic load reproduce the laboratory-observed increase in the difference between tensile and compressive elastic moduli with ongoing deformation beyond the elastic regime. Modelling of wave propagation effects reproduces the observed relations between the resonance frequency and wave amplitude. In agreement with laboratory experiments, the simulated resonant curves are asymmetric, with gradual decrease of wave amplitudes for frequencies higher than the resonance value and strong reduction for lower frequencies. The predicted shift of the resonance frequency with increasing wave amplitude under constant material damage is only a few per cent, whereas the resonance frequency shift associated with increasing material damage may reach tens of per cent. The results show that the employed continuum damage rheology model provides a self-consistent treatment for multiple manifestations of non-linear elastic and brittle deformation of solids.
|Additional Information:||© 2009 The Authors. Journal compilatiom © 2009 RAS. Accepted 2009 April 5. Received 2009 April 5; in original form 2008 December 12. We thank the editor Y. Ricard and two anonymous referees for constructive reviews. The studies were supported by grants from the Israel Science Foundation (ISF 753/08) and the Southern California Earthquake Center (based on NSF Cooperative Agreement EAR-0106924 and USGS Cooperative Agreement 02HQAG0008).|
|Subject Keywords:||Geomechanics; Elasticity and anelasticity; Fault zone rheology; Seismic attenuation; Wave propagation; Dynamics and mechanics of faulting|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||16 Sep 2009 23:44|
|Last Modified:||26 Dec 2012 11:21|
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