Coupling effects of heterogeneity and stress fluctuation on rupture

Zhang, X.H.; Feng, Rong; Zhao, Jia; Fang, Ke; Xia, Mingji; Bai, Yunfeng

doi:10.1016/j.tafmec.2003.11.020

Cited by 6 publications

(8 citation statements)

References 8 publications

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“…This results in a positive feedback mechanism, i.e., stress, damage, and stress redistribution distance become coupled with each other strongly, leading to damage formation at even greater distances. Ultimately, the strong stress fluctuations lead to a breakdown of mean field approximation (ZHANG et al, 2004). Similar statistics on stress redistribution distance and stress increment in the plane strain case are given in Figure 12.…”

Section: Underlying Mechanism Of Catastrophementioning

confidence: 53%

“…The initial heterogeneity in shear strength is Weibull distribution. Based on mean field approximation (ZHANG et al, 2004), i.e., all elements have the same stress state, all elements with shear strength below the current Coulomb stress will become damaged, see Figure 13(a). However, in the simulations, some elements with higher shear strength are also damaged due to higher stress resulting from the coupling (b)).…”

Section: Underlying Mechanism Of Catastrophementioning

confidence: 99%

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Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

荣峰

汪海英

夏蒙棼

et al. 2006

Pure appl. geophys.

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In heterogeneous brittle media, the evolution of damage is strongly influenced by the multiscale coupling effect. To better understand this effect, we perform a detailed investigation of the damage evolution, with particular attention focused on the catastrophe transition. We use an adaptive multiscale finite-element model (MFEM) to simulate the damage evolution and the catastrophic failure of heterogeneous brittle media. Both plane stress and plane strain cases are investigated for a heterogeneous medium whose initial shear strength follows the Weibull distribution. Damage is induced through the application of the Coulomb failure criterion to each element, and the element mesh is refined where the failure criterion is met. We found that as damage accumulates, there is a stronger and stronger nonlinear increase in stress and the stress redistribution distance. The coupling of the dynamic stress redistribution and the heterogeneity at different scales result in an inverse cascade of damage cluster size, which represents rapid coalescence of damage at the catastrophe transition.

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Section: Underlying Mechanism Of Catastrophementioning

confidence: 53%

Section: Underlying Mechanism Of Catastrophementioning

confidence: 99%

Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

荣峰

汪海英

夏蒙棼

et al. 2006

Pure appl. geophys.

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“…It is proposed that this structural change is caused by partial discharges [11][12][13] within the ceramic, with the Fig. 3 The 3 planes: frontal, sagittal and axial, of which the μCT machine produces detailed information Fig.…”

Section: Methodsmentioning

confidence: 99%

“…It has been shown in insulators such as PZT that if there is an air filled crack or pore within the ceramic then the electrical field across the structural flaw can be enhanced approximately 1000 times higher than the applied electric loading [12]. Under such conditions the electrons in the pores will be accelerated ionizing the atmospheric gases and the produced ions accelerated towards the negatively charged side of the flaw.…”

Section: Methodsmentioning

confidence: 99%

Micro-computer tomography—An aid in the investigation of structural changes in lead zirconate titanate ceramics after temperature-humidity bias testing

2008

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Lead zirconate titanate ceramic actuators are extensively used in electronic and electro-mechanical devices. Under humid conditions with a d.c. bias leakage currents increase power consumption In some materials the increasing leakage current is accompanied by the evolution of features on the anode surface, but little is known of any changes to the internal structure of the material. This research applies an advanced imaging technique (micro-computer tomography) to non-destructively investigate these features. This allows the evolution of internal features over time to be studied. The findings reveal that the microstructure of the ceramic was significantly altered during environmental testing.

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“…The spatial natural variability of stone properties from point to point of a wall not only could explain why for the same conditions the stone deterioration will take place only on some parts of a wall, but also it could be a factor for amplification of stress fluctuation itself and initiation of damage [11]. Many authors consider that the stress field fluctuation, both spatial and temporal, is a major factor of fatigue enhanced cracks [10,12,13]. In Ref.…”

Section: Introduction mentioning

confidence: 99%

Damage of Historical Stone Masonry Buildings: Combined Effects of Spatial Variability of Stone Properties and Environmental Conditions

Belayachi¹,

Hoxha²

2016

JCEA

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The everyday fluctuations of temperature and humidity lead to fluctuation of stress on the stones constituting many constructions and produce in long term some kinds of fatigue damage. This paper investigates the combined role of stone properties variability and environmental conditions on the generation and the amplification of stress variation and fatigue. Thus, the randomness and spatial variability of the mechanical, thermal and hydraulic properties are taken into account in a finite elements model of typical stone wall masonry of Chambord Castle. The quantification of the impact of this spatial variability on the variability of generated stress is performed.

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Coupling effects of heterogeneity and stress fluctuation on rupture

Cited by 6 publications

References 8 publications

Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

Micro-computer tomography—An aid in the investigation of structural changes in lead zirconate titanate ceramics after temperature-humidity bias testing

Damage of Historical Stone Masonry Buildings: Combined Effects of Spatial Variability of Stone Properties and Environmental Conditions

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