Sliding Crack Model for Nonlinearity and Hysteresis in the Triaxial Stress‐Strain Curve of Rock, and Application to Antigorite Deformation

David, Emmanuel C.; Brantut, Nicolas; Hirth, Greg

doi:10.1029/2019jb018970

Cited by 13 publications

(20 citation statements)

References 49 publications

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“…It is possible that, as David et al. (2020) and Hansen et al. (2020) describe, sliding along shear microcracks accommodates a significant portion of the deformation.…”

Section: Discussionmentioning

confidence: 99%

“…They form along cleavage/basal planes, so they are likely to have very low roughness. It is possible that, as David et al (2020) and Hansen et al (2020) describe, sliding along shear microcracks accommodates a significant portion of the deformation. The rate limiting mechanism of friction between two mated sheet surfaces (real fractional area of contact near 1) at 1 GPa could be similar to intrinsic lattice resistance discussed in the previous sections.…”

Section: Role Of Shear Microcracks and Brittle Deformationmentioning

confidence: 99%

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Creep Rheology of Antigorite: Experiments at Subduction Zone Conditions

Burdette

Hirth

2022

JGR Solid Earth

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Subduction zones are among the most seismically active tectonic environments on Earth. The wide spectrum of brittle and ductile behavior in the down-going slab and nearby mantle control seismic coupling, deep fluid transport, and local mantle convection. The interplay between rheology and metamorphic reactions is key to understanding tectonic dynamics and evolution of subduction structure at depth. To explain a range of observations from subduction zones (e.g., heat flow, location of volcanic front, slab seismicity, seismic structure of the mantle wedge), thermal models require slab decoupling from the mantle wedge down to a depth of approximately 80 km (e.g., Syracuse et al., 2010;Wada et al., 2008). Owing to its relative weakness compared to other lithospheric minerals, the presence of serpentine along the interface has been called on to promote this decoupling (e.g., Wada & Wang, 2009). In altered oceanic lithosphere and mantle wedge, antigorite is the stable serpentine polytype at these high pressure/high temperature conditions (Schwartz et al., 2013;Wunder & Schreyer, 1997).The rheology of antigorite at high pressure has been investigated in a wide range of experimental studies. Flow laws constrained by strain rate stepping experiments from these studies have reported both dislocation creep behavior (

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“…It is possible that, as David et al. (2020) and Hansen et al. (2020) describe, sliding along shear microcracks accommodates a significant portion of the deformation.…”

Section: Discussionmentioning

confidence: 99%

Section: Role Of Shear Microcracks and Brittle Deformationmentioning

confidence: 99%

Creep Rheology of Antigorite: Experiments at Subduction Zone Conditions

Burdette

Hirth

2022

JGR Solid Earth

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“…These observations are consistent with the absence of remarkable changes in elastic wave velocities observed during the deformation of lizardite serpentinite (MK7-05) and 51% serpentinized peridotite (ST-12) in this study. The predominance of shear cracking in serpentine-bearing rocks has been supported quantitatively by measurements of fracture toughness K Ic , which , characterizes the stress required for the opening of axial "mode I" cracks and has been shown to have a much higher value in antigorite than in granite [37]. This suggests that shear sliding can be the favored mode of crack development in serpentine-bearing rocks.…”

Section: Strength Reduction and Deformation Mechanism Of Hydrated Olivine Gabbromentioning

confidence: 86%

Non-Dilatant Brittle Deformation and Strength Reduction of Olivine Gabbro due to Hydration

2021

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To investigate the influence of hydration on brittle deformation of oceanic crustal rocks, we conducted triaxial deformation experiments on gabbroic rocks with various degrees of hydration at a confining pressure of 20 MPa and room temperature, measuring elastic wave velocity. Hydrated olivine gabbros reached a maximum differential stress of 225–350 MPa, which was considerably less than those recorded for gabbros (~450 MPa), but comparable to those for serpentinized ultramafic rocks (250–300 MPa). Elastic wave velocities of hydrated olivine gabbros did not show a marked decrease even prior to failure. This indicated that the deformation of hydrated olivine gabbro is not associated with the opening of the stress-induced cracks that are responsible for dilatancy. Microstructural observations of the samples recovered after deformation showed crack damage to be highly localized to fault zones with no trace of stress-induced crack opening, consistent with the absence of dilatancy. These data suggest that strain localization of hydrated olivine gabbro can be caused by the development of shear cracks in hydrous minerals such as serpentine and chlorite, even when they are present in only small amounts. Our results suggest that the brittle behavior of the oceanic crust may considerably change due to limited hydration.

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“…Compare with the physical models proposed by David et al. (2020, 2012), the mathematical model proposed by McCall and Guyer (1994) is simpler in principle and form. Thus we intend to extend the mathematical model proposed by McCall and Guyer (1994) to the three‐dimensional case.…”

Section: Introductionmentioning

confidence: 92%

Three‐Dimensional Modeling of Hysteresis in Rocks

Hua

Jiang

2022

JGR Solid Earth

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Hysteresis in rock is considered to be as one of the basic possible material behaviors. McCall and Guyer treat rocks as materials consisting of hysteretic mesoscopic elastic units (HMEU). Hysteresis with discrete memory can be well reflected by the density of HMEU in Preisach‐Mayergoyz space (PM space). However, this model is limited to one‐dimensional case and unable to obtain all the six components of strain tensor. We revisit and extend their model to three‐dimensional case by introducing a type of initially closed crack, and by redefining the hysteretic behavior of the initially open/closed mesoscopic cracks. Together with the directional probability density function E(n), our analysis leads to an explicit expression of the strain tensor of a rock under triaxial loading/unloading. The ratio of closed cracks, the direction of cracks and a parameter related to the equilibrium length of cracks are included in this three‐dimensional model.

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Sliding Crack Model for Nonlinearity and Hysteresis in the Triaxial Stress‐Strain Curve of Rock, and Application to Antigorite Deformation

Cited by 13 publications

References 49 publications

Creep Rheology of Antigorite: Experiments at Subduction Zone Conditions

Creep Rheology of Antigorite: Experiments at Subduction Zone Conditions

Non-Dilatant Brittle Deformation and Strength Reduction of Olivine Gabbro due to Hydration

Three‐Dimensional Modeling of Hysteresis in Rocks

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