Statistical Physics of Fracture, Breakdown, and Earthquake

Biswas, Soumyajyoti; Ray, Purusattam; Chakrabarti, Bikas K.

doi:10.1002/9783527672646

Cited by 63 publications

(80 citation statements)

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“…Dislocation can move easily under confining pressure because of the energy produced by the crystal structure deformation (Pluijm and Marshak 2004). However, the dislocation should be removed to continue plastic deformation; otherwise, the dislocation accumulation causes strain hardening, which leads to brittle failure (Biswas et al 2015). Rutter concluded that water accelerates the dislocation removal.…”

Section: Moisture Effect Mechanism On Deformation Behaviormentioning

confidence: 99%

Deformation Mechanism of Hardened Cement Paste and Effect of Water

Sakai

Kishi

2017

ACT

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Triaxial compressive tests were conducted at different confining pressures (P c ) and water contents to understand the deformation mechanism of hardened cement paste (HCP). Results showed that the stress did not decrease up to 10% strain and macroscopic damage was not observed when P c was higher than a certain value. P c required for this ductile behavior differed depending on the HCP water content. Stepwise creep tests were also conducted. Most of the slopes of the obtained differential stress-strain rate curves in the double logarithmic chart were approximately three, which indicates that dislocation creep was the dominant deformation mechanism. The samples saturated with sucrose solution exhibited a more brittle behavior after the peak stress than those saturated with tap water. The different behavior in the softening region was attributed to calcium hydroxide precipitation because it was suppressed in the sucrose solution. These results indicated that the HCP deformation may be affected by dislocation, mechanical twinning, and pressure solution.

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Section: Moisture Effect Mechanism On Deformation Behaviormentioning

confidence: 99%

Deformation Mechanism of Hardened Cement Paste and Effect of Water

Sakai

Kishi

2017

ACT

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“…They also occur in other natural or experimental systems, for example, in solar flares56, in fracture experiments on porous materials7 and acoustic emissions8, after stock market crashes910, in the volatility of stock prices returns11, in internet traffic variability12 and e-mail spamming13, to mention a few. The observed aftershock sequences usually obey several well-defined, non-trivial empirical laws in magnitude, temporal, and spatial domains4141516. In many cases their characteristics follow scale-invariant distributions161718.…”

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confidence: 99%

“…The observed aftershock sequences usually obey several well-defined, non-trivial empirical laws in magnitude, temporal, and spatial domains4141516. In many cases their characteristics follow scale-invariant distributions161718. The occurrence of aftershocks displays a prominent temporal behavior due to time-dependent mechanisms of stress and/or energy transfer.…”

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confidence: 99%

Power-law rheology controls aftershock triggering and decay

Zhang

Shcherbakov

2016

Sci Rep

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The occurrence of aftershocks is a signature of physical systems exhibiting relaxation phenomena. They are observed in various natural or experimental systems and usually obey several non-trivial empirical laws. Here we consider a cellular automaton realization of a nonlinear viscoelastic slider-block model in order to infer the physical mechanisms of triggering responsible for the occurrence of aftershocks. We show that nonlinear viscoelasticity plays a critical role in the occurrence of aftershocks. The model reproduces several empirical laws describing the statistics of aftershocks. In case of earthquakes, the proposed model suggests that the power-law rheology of the fault gauge, underlying lower crust, and upper mantle controls the decay rate of aftershocks. This is verified by analysing several prominent aftershock sequences for which the rheological properties of the underlying crust and upper mantle were established.

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“…The heterogeneity occurring on different length scales plays a crucial role in the mechanical response and fracture behavior of materials. On the one hand, the presence of flaws, voids, and grain boundaries reduces the fracture strength, on the other hand, however, they improve the damage tolerance of materials which has a high practical importance for construction components [1][2][3]. Low disorder leads to brittle behavior where fracture occurs at a critical load in a catastrophic manner without any precursors.…”

Section: Introductionmentioning

confidence: 99%

Blending stiffness and strength disorder can stabilize fracture

Karpas

Kun

2016

Phys. Rev. E

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Quasi-brittle behavior where macroscopic failure is preceded by stable damaging and intensive cracking activity is a desired feature of materials because it makes fracture predictable. Based on a fiber bundle model with global load sharing we show that blending strength and stiffness disorder of material elements leads to the stabilization of fracture, i.e. samples which are brittle when one source of disorder is present, become quasi-brittle as a consequence of blending. We derive a condition of quasi-brittle behavior in terms of the joint distribution of the two sources of disorder. Breaking bursts have a power law size distribution of exponent 5/2 without any crossover to a lower exponent when the amount of disorder is gradually decreased. The results have practical relevance for the design of materials to increase the safety of constructions.

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Statistical Physics of Fracture, Breakdown, and Earthquake

Cited by 63 publications

References 0 publications

Deformation Mechanism of Hardened Cement Paste and Effect of Water

Deformation Mechanism of Hardened Cement Paste and Effect of Water

Power-law rheology controls aftershock triggering and decay

Blending stiffness and strength disorder can stabilize fracture

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