Stability analysis of undrained adiabatic shearing of a rock layer with Cosserat microstructure

Sulem, J; Stefanou, I; Veveakis, E

dc.contributor.author	Sulem, J	en
dc.contributor.author	Stefanou, I	en
dc.contributor.author	Veveakis, E	en
dc.date.accessioned	2014-03-01T01:37:07Z
dc.date.available	2014-03-01T01:37:07Z
dc.date.issued	2011	en
dc.identifier.issn	1434-5021	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21450
dc.subject	Cosserat continuum	en
dc.subject	Earthquakes	en
dc.subject	Landslides	en
dc.subject	Shear heating	en
dc.subject	Stability analysis	en
dc.subject	Undrained adiabatic shearing	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Applied	en
dc.subject.other	Adiabatic limit	en
dc.subject.other	Adiabatic shearing	en
dc.subject.other	Cosserat	en
dc.subject.other	Cosserat continuum	en
dc.subject.other	Destabilizing effect	en
dc.subject.other	Fluid transfer	en
dc.subject.other	Frictional work	en
dc.subject.other	Ill posed	en
dc.subject.other	Ill posed problem	en
dc.subject.other	Instability modes	en
dc.subject.other	Microinertia	en
dc.subject.other	Plasticity theory	en
dc.subject.other	Pore fluids	en
dc.subject.other	Rock layers	en
dc.subject.other	Sharp transition	en
dc.subject.other	Shear heating	en
dc.subject.other	Shear zone	en
dc.subject.other	Stability analysis	en
dc.subject.other	Thermal pressurization	en
dc.subject.other	Undrained	en
dc.subject.other	Undrained adiabatic shearing	en
dc.subject.other	Undrained shearing	en
dc.subject.other	Earthquakes	en
dc.subject.other	Heating	en
dc.subject.other	Initial value problems	en
dc.subject.other	Landslides	en
dc.subject.other	Shear flow	en
dc.subject.other	Shearing	en
dc.subject.other	Shearing machines	en
dc.subject.other	Stress-strain curves	en
dc.subject.other	Linear stability analysis	en
dc.title	Stability analysis of undrained adiabatic shearing of a rock layer with Cosserat microstructure	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10035-010-0244-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10035-010-0244-1	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Stability of undrained shearing in a classical Cauchy continuum has been first analyzed by Rice (J Geophys Res 80(11):1531-1536, 1975) who showed that instability occurs when the underlying drained deformation becomes unstable (i.e. in the softening regime of the corresponding drained stress-strain curve). However Vardoulakis (Int J Numer Anal Methods Geomech 9:339-414, 1985; Int J Numer Anal Methods Geomech 10:177-190, 1986) has shown that Rice's linear stability analysis, if performed at the state of maximum deviator, leads to a sharp transition from infinitely stable to infinitely unstable behaviour, which indicates that the solution of the considered initial-value problem does not exist and consequently that the corresponding problem is mathematically ill-posed. Vardoulakis (Géotechnique 46(3):441-456, 1996; Géotechnique 46(3):457-472, 1996) proposed a regularization of the ill-posed problem in the softening regime by resorting to a second grade extension of plasticity theory. In this paper, the kinetics of a granular material is described by a Cosserat continuum as first suggested by Mühlhaus and Vardoulakis (Géotechnique 37:271-283, 1987) and we incorporate the effect of shear heating due to the dissipation of the frictional work. The undrained adiabatic limit is applicable as soon as the slip event is sufficiently rapid and the shear zone broad enough to effectively preclude heat or fluid transfer as it is the case during an earthquake or a landslide. It is shown that shear heating has a destabilizing effect and that instability can occur in the hardening regime if the amount of dilatant strengthening is not sufficient as compared to the effect of thermal pressurization of the pore fluid. It is shown that the linear stability analysis with macro and micro inertia terms leads to the selection of a preferred wave length of the instability mode corresponding to the instability mode with fastest (but finite) growth coefficient. © 2011 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Granular Matter	en
dc.identifier.doi	10.1007/s10035-010-0244-1	en
dc.identifier.isi	ISI:000290676900015	en
dc.identifier.volume	13	en
dc.identifier.issue	3	en
dc.identifier.spage	261	en
dc.identifier.epage	268	en