Trans-scale Coupling in Multiscale Simulations

Feng, Rong; Wang, Haiying; Xia, Mingji; Fang, Ke; Bai, Yilong

doi:10.1615/intjmultcompeng.v4.i1.110

Cited by 3 publications

(2 citation statements)

References 13 publications

(18 reference statements)

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“…However, as shown in figure 9, the catastrophic rupture cannot be predicted only from the σ -ε curve. Actually, from our computations, we found that the stress redistribution resulting from the damage interaction plays a critical role in the catastrophic rupture, which we will report in another paper [18] with more computations to clarify the significant mechanism governing the trans-scale phenomenon.…”

Section: Numerical Examplementioning

confidence: 53%

Adaptive mesh refinement FEM for damage evolution of heterogeneous brittle media

Feng

Xia

Fang

et al. 2005

Modelling Simul. Mater. Sci. Eng.

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Damage evolution of heterogeneous brittle media involves a wide range of length scales. The coupling between these length scales is the underlying mechanism of damage evolution and rupture. However, few of previous numerical algorithms consider the effects of the trans-scale coupling effectively. In this paper, an adaptive mesh refinement finite element method (FEM) algorithm is developed to simulate this trans-scale coupling. The adaptive serendipity element is implemented in this algorithm, and several special discontinuous base functions are created to avoid the incompatible displacement between the elements. Both the benchmark and a typical numerical example under quasi-static loading are given to justify the effectiveness of this model. The numerical results reproduce a series of characteristics of damage and rupture in heterogeneous brittle media.

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Section: Numerical Examplementioning

confidence: 53%

Adaptive mesh refinement FEM for damage evolution of heterogeneous brittle media

Feng

Xia

Fang

et al. 2005

Modelling Simul. Mater. Sci. Eng.

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“…Recent works in the study of multiscale coupling (BAZANT and CHEN, 1997;WANG et al, 2004;RONG et al, 2006) suggest that damage evolution and rupture of solid can be regarded as a trans-scale process in a wide range of spatiotemporal scales. Traditionally, researchers working on computational simulations concentrated on bringing practical details into their models, but ignored various spatial scales inherent in heterogeneous media.…”

Section: Introductionmentioning

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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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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