dc.contributor.author Rice, James R. dc.contributor.author Uenishi, Koji dc.date.accessioned 2011-07-18T14:56:12Z dc.date.issued 2010 dc.identifier.citation Rice, James R. and Koji Uenishi. 2010. Rupture nucleation on an interface with a power-law relation between stress and displacement discontinuity. International Journal of Fracture 163:1-13. en_US dc.identifier.issn 0376-9429 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:5027193 dc.description.abstract We consider rupture initiation and instability on a displacement-weakening interface. It is assumed to follow a power-law relation between a component of displacement discontinuity (whether tensile opening in mode I or shear slippage in modes II or III) and the reduction from peak strength of a corresponding component of stress (normal or shear stress) on the interface. That is, the stress decrease from peak strength, as the interface discontinuity develops, is assumed to be proportional to displacement-discontinuity to some exponent $n > 0$. The study is done in the 2D context of plane or anti-plane strain, for an initially coherent interface which is subjected to a locally peaked “loading” stress which increases quasi-statically in time. We seek to establish the instability point, when no further quasi-static solution exists for growth of the ruptured zone along the interface, so that dynamic rupture ensues. We have previously addressed the case of linear displacement-weakening $(n = 1)$, and proven the remarkable result that for an unbounded solid, the length of the displacement-weakening zone along the interface at instability is universal, in the sense of being independent of the detailed spatial distribution of the locally peaked loading stress. Present results show that such universality does not apply when $n$ differs from $1$. Also, if $n < 2/3$, there is no phase of initially quasi-static enlargement of the rupturing zone; instead instability will occur as soon as the maximum value of the loading stress reaches the peak strength. We first employ an energy approach to give a Rayleigh–Ritz approximation for the dependence of quasi-static rupture length and maximum displacement-discontinuity on the loading stress distribution of a quadratic form. Results, depending on curvature of the loading distribution, show that qualitative features of the displacement-discontinuity development are significantly controlled by n, with the transition noted at $n = 2/3$. Predictions of the simple energy approach are in reasonable quantitative agreement with full numerical solutions and give qualitative features correctly. en_US dc.description.sponsorship Earth and Planetary Sciences en_US dc.description.sponsorship Engineering and Applied Sciences en_US dc.language.iso en_US en_US dc.publisher Springer Verlag en_US dc.relation.isversionof doi:10.1007/s10704-010-9478-5 en_US dc.relation.hasversion http://esag.harvard.edu/rice/237_RiceUenishi_NonLinSlipWk_IJF10.pdf en_US dash.license META_ONLY dc.subject fracture nucleation en_US dc.subject interface failure en_US dc.subject cohesive zone model en_US dc.subject nonlinear displacement-weakening en_US dc.subject fault rupture nucleation en_US dc.subject nonlinear slip-weakening en_US dc.subject nonlinear slip-weakening en_US dc.subject nucleation zone size en_US dc.title Rupture Nucleation on an Interface with a Power-Law relation between Stress and Displacement Discontinuity en_US dc.type Journal Article en_US dc.description.version Version of Record en_US dc.relation.journal International Journal of Fracture en_US dash.depositing.author Rice, James R. dash.embargo.until 10000-01-01 dc.identifier.doi 10.1007/s10704-010-9478-5 * dash.contributor.affiliated Rice, James
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