A note on some features of the theory of localization of deformation

Rice, James R.; Rudnicki, John W.

doi:10.1016/0020-7683(80)90019-0

Cited by 264 publications

(123 citation statements)

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“…[30] Bifurcation analyses for states of quasi-static deformation show that instabilities in the constitutive description for certain classes of elastic-plastic materials can lead to localization of deformation [Hill, 1952;Thomas, 1961;Rudnicki and Rice, 1975;Rice, 1976;Rice and Rudnicki, 1980]. The quasi-static localization conditions coincide dynamically with those for a vanishing propagation speed of elastic-plastic body waves [Hadamard, 1903;Hill, 1962;Mandel, 1963Mandel, , 1966Rice, 1976].…”

Section: Plastic Strain Localizationmentioning

confidence: 99%

Off‐fault plasticity and earthquake rupture dynamics: 1. Dry materials or neglect of fluid pressure changes

2008

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[1] We analyze inelastic off-fault response during earthquakes. Spontaneous crack-like rupture, with slip weakening, is modeled in 2-D plane strain using an explicit dynamic finite element procedure. A Mohr-Coulomb type elastic-plastic description describes the material bordering the fault. We identify the factors which control the extent and distribution of off-fault plasticity during dynamic rupture. Those include the angle with the fault of the maximum compressive prestress, the seismic S ratio, and the closeness of the initial stress state to Mohr-Coulomb failure. Plastic response can significantly alter the rupture propagation velocity, delaying or even preventing a transition to supershear rupture in some cases. Plastic straining also alters the residual stress field left near the fault. In part 1, we consider ''dry'' materials bordering the fault, or at least neglect pore pressure changes within them. Part 2 addresses the effects of fluid saturation, showing that analysis procedures of this part can describe undrained fluid-saturated response. Elastic-plastic laws of the type used are prone to shear localization, resulting in an inherent grid dependence in some numerical solutions. Nevertheless, we show that in the problems addressed, the overall sizes of plastic regions and the dynamics of rupture propagation seem little different from what are obtained when we increase the assumed plastic hardening modulus or dilatancy parameter above the theoretical threshold for localization, obtaining a locally smooth numerical solution at the grid scale. Evidence for scaling of some localization features with a real (nongrid) length scale in the model is also presented.Citation: Templeton, E. L., and J. R. Rice (2008), Off-fault plasticity and earthquake rupture dynamics: 1. Dry materials or neglect of fluid pressure changes,

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Section: Plastic Strain Localizationmentioning

confidence: 99%

Off‐fault plasticity and earthquake rupture dynamics: 1. Dry materials or neglect of fluid pressure changes

2008

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“…Par contre, pour des calculs de bifurcation correspondant à des chemins de sollicita tion situés sur une telle frontière commune, se pose le problème du choix de la détermination. Or les calculs effectués pour l'étude des structures métalliques ont montré toute l'influence de la loi de comportement choisie sur les résultats obtenus (par exemple, Rice et Rudnicki [25], Christoffersen et Hutchinson [6], Hut chinson et Neale [19] …”

Section: Introductionunclassified

Rupture d'argiles naturelles par surfaces de cisaillement à l'appareil triaxial

Darve

1983

Rev. Fr. Geotech.

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“…Our intention here is on the one hand to underline a theoretical point concerning the assumption of continuous bifurcation (in the sense of Rice & Rudnicki (1980)) and on the other hand to comment on the results given about the stiffness ratio at the initiation point, in relation to experimental results obtained in a plane strain apparatus.…”

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confidence: 99%

“…From an experimental point of view, there is no more reason for such an assumption: for rocks, Rice & Rudnicki (1980) suggest that unloading outside the band may occur at the bifurcation point. For soils, the experiments conducted by Desrues (1984) show that for plane strain loading paths the past bifurcation direction of strain increment is somewhat different inside and outside the band; for example, it was observed that the principal directions of the strain increment tensors are significantly rotated inside the distorted zones.…”

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confidence: 99%