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Lockner 1998
Lockner, D.A. (1998). A generalized law for brittle deformation of Westerly granite. Journal of Geophysical Research 103: doi: 10.1029/97JB03211. issn: 0148-0227.

A semiempirical constitutive law is presented for the brittle deformation of intact Westerly granite. The law can be extended to larger displacements, dominated by localized deformation, by including a displacement-weakening break-down region terminating in a frictional sliding regime often described by a rate- and state-dependent constitutive law. The intact deformation law, based on an Arrhenius type rate equation, relates inelastic strain rate to confining pressure Pc, differential stress &sgr;Δ, inelastic strain ϵi and temperature T. The basic form of the law for deformation prior to fault nucleation is ln ϵ˙i=c-(E*/RT)+(&sgr;Δ/a&sgr;0)sin(&pgr;ϵi/2ϵ0) where &sgr;0 and ϵ0 are normalization constants (dependent on confining pressure), a is rate sensitivity of stress, and α is a shape parameter. At room temperature, eight experimentally determined coefficients are needed to fully describe the stress-strain-strain rate response for Westerly granite from initial loading to failure. Temperature dependence requires apparent activation energy (E*~90 kJ/mol) and one additional experimentally determined coefficient. The similarity between the prefailure constitutive law for intact rock and the rate- and state-dependent friction laws for frictional sliding on fracture surfaces suggests a close connection between these brittle phenomena.

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Abstract

Keywords
Physical Properties of Rocks, Physical Properties of Rocks, Fracture and flow, Physical Properties of Rocks, General or miscellaneous
Journal
Journal of Geophysical Research
http://www.agu.org/journals/jb/
Publisher
American Geophysical Union
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