2019
DOI: 10.1002/nme.6093
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Stochastic multiscale modeling of crack propagation in random heterogeneous media

Abstract: Summary A stochastic approach to model crack propagation in random heterogeneous media, using mesoscopic representations of elastic and fracture properties, is presented. In order to obtain reference results, Monte‐Carlo simulations are first conducted on microstructural samples in which a pre‐existing crack is propagated by means of a phase‐field approach. These computations are used to estimate the subscale‐induced randomness on the macroscopic response of the domain. Mesoscopic descriptors are then introduc… Show more

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Cited by 38 publications
(11 citation statements)
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“…Hun et al. 81 studied crack propagation in heterogeneous media within a probabilistic context of Monte Carlo simulations. In another work, Capillon et al.…”
Section: Methodsmentioning
confidence: 99%
“…Hun et al. 81 studied crack propagation in heterogeneous media within a probabilistic context of Monte Carlo simulations. In another work, Capillon et al.…”
Section: Methodsmentioning
confidence: 99%
“…Due to the variabilities of input variables, the response also exhibits its statistical behaviors, which are necessary to be characterized [58]. e robustness of the model and/or sensitivity of input variables could then be deduced based on statistical analysis of output response [59][60][61].…”
Section: Random Sampling Technique: Monte Carlo Methodmentioning
confidence: 99%
“…Then, the granular model can make a finer microscopic simulation in such critical zones at the grain scale. In fact, similar approaches have been applied to study the crack propagation in solids [172][173][174].…”
Section: Tablementioning
confidence: 99%