Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy

Ida, Yoshiaki

doi:10.1029/jb077i020p03796

Cited by 870 publications

(659 citation statements)

References 11 publications

Supporting

Mentioning

646

Contrasting

Unclassified

Order By: Relevance

“…This is a transitional process from static to dynamic friction. Such weakening has been predicted theoretically (e.g., Ida 1972;Palmer and Rice 1973) and confirmed in the laboratory (e.g., Dieterich 1978;Ohnaka et al 1987;Tsutsumi and Shimamoto 1997).…”

Section: Slip-weakening Distancementioning

confidence: 85%

Constitutive parameters for earthquake rupture dynamics based on high-velocity friction tests with variable sliprate

Fukuyama

Mizoguchi

2009

Int J Fract

View full text Add to dashboard Cite

To reproduce the dynamic rupture process of earthquakes, the fault geometry, initial stress distribution and a frictional constitutive law on the fault are important parameters as initial and boundary conditions of the system. Here, we focus on the frictional constitutive relation on the fault. During a high-speed rupture, fault strength decreases as slip develops which can be described by a slip weakening equation. To understand the physical process of stress breakdown during the dynamic rupture of earthquakes, we investigated the friction behavior of rocks in the laboratory by direct measurements of traction evolution with slip in response to a given slip history. We employed a highspeed rotary shear apparatus introduced at National Research Institute for Earth Science and Disaster Prevention (NIED). This apparatus has a capability of sliding with predefined variable velocities using a servo-controlled system. We used a pair of granite cylindrical specimens with a diameter of 25 mm. As an input signal, we used a regularized Yoffe function to investigate the scale dependence of fracture energy and slip weakening distance (D c ). We observed a positive correlation between D c and total slip, keeping the maximum slip velocity constant. These conditions correspond to those for earthquakes with the same stress drop and varying magnitudes. Finally, we used a

show abstract

Section: Slip-weakening Distancementioning

confidence: 85%

Constitutive parameters for earthquake rupture dynamics based on high-velocity friction tests with variable sliprate

Fukuyama

Mizoguchi

2009

Int J Fract

View full text Add to dashboard Cite

show abstract

“…That information will allow us to compute the spatio-temporal evolution of the apparent stress in the fault plane. [Ida, 1972] …”

Section: Crap(t) = 107rp/•a Mo(t) ----107rp• 3 Fo T/•/(t) (3)mentioning

confidence: 99%

Estimation of dynamic rupture parameters from the radiated seismic energy and apparent stress

Pulido¹,

Irikura²

2000

Geophysical Research Letters

View full text Add to dashboard Cite

Abstract.We propose a new procedure for estimating the critical slip weakening distance, Do, by evaluating the spatio-temporal distribution of the apparent stress calculated from the spatio-temporal distribution of the slip velocity function on the fault plane obtained from a kinematic inversion of the earthquake source. The idea is based on the fact that the apparent stress can be related to the difference between the earthquake average stress and the frictional dynamical stress on the fault plane during the rupture process. From the cumulative slip -apparent stress relationship we estimate the critical slip, Do, of the 1992 Landers earthquake. We find that the critical slip weakening plays an important role in controlling the rupture velocity. In the case of the Landers earthquake the very low rupture velocity in the central segment could be explained by the large D•-value obtained for the main asperity on that segment.

show abstract

“…The equation of motion is solved in an elastic body with a criterion for stress drop on the fault. Assumptions such as a constant rupture velocity or a linear slip-weakening law [Ida, 1972] have been successfully used as criteria for stress drop [e.g., Madariaga, 1976;Mikumo and Miyatake, 1978;Day, 1982]. The studies showed certain relations between the distribution of initial shear stress, slip velocity, amount of slip, and rupture propagation velocity, as well as the characteristics of elastic wave radiation.…”

Section: Introductionmentioning

confidence: 99%

Fault instability on a finite and planar fault related to early phase of nucleation

Mitsui¹,

Hirahara²

2011

J. Geophys. Res.

View full text Add to dashboard Cite

[1] We numerically investigate the early phase of nucleation on a planar fault with the rate-and state-dependent friction law, loaded externally by steady slip, to clarify its relation to fault instability. We define R n as the invasion distance of the inward creep to characterize that phase. For a circular fault, the dependence of R n on the dimensionless parameters l b , l b−a , and l RA (all of these are proportional to the rigidity and the characteristic distance of the state evolution L and inversely proportional to the normal stress and the fault radius) can be compiled. We found that R n is proportional to l b (both aging law and slip law of the state evolution) and l b−a (aging law). In the case of the aging law only, there are two regimes (ordinary events and slow events) separated by the value of l RA . The regimes have different trend lines, although we could not measure R n for the case of l RA < 0.35 because of breaking of the mirror symmetry of instability along the loading direction. R n in the slow event regime is smaller. Moreover, we investigated the effect of fault shape and found that a model with a long radius along the mode 2 direction has similar parameter dependence to circular faults, but a model with a long radius along the mode 3 direction has different ones. Our results imply that we can qualitatively estimate the fault instability parameters from the early phase of nucleation, although further research is necessary to enable application to actual faults.Citation: Mitsui, Y., and K. Hirahara (2011), Fault instability on a finite and planar fault related to early phase of nucleation,

show abstract

Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy

Cited by 870 publications

References 11 publications

Constitutive parameters for earthquake rupture dynamics based on high-velocity friction tests with variable sliprate

Constitutive parameters for earthquake rupture dynamics based on high-velocity friction tests with variable sliprate

Estimation of dynamic rupture parameters from the radiated seismic energy and apparent stress

Fault instability on a finite and planar fault related to early phase of nucleation

Contact Info

Product

Resources

About