Predicting variability in the dynamic failure strength of brittle materials considering pre-existing flaws

Daphalapurkar, Nitin; Ramesh, K.T.; Graham‐Brady, Lori; Molinari, Jean‐François

doi:10.1016/j.jmps.2010.10.006

Cited by 72 publications

(34 citation statements)

References 47 publications

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“…Under rapid loading, brittle materials tend to break into smaller pieces (Sadrai et al, 2006). Shock waves generate very high pressures in a few microseconds and these can be a good option to improve the energy efficiency of comminution (Grady and Kipp, 1980;Grady, 1982;Daphalapurkar et al, 2011;Escobedo et al, 2013). The mechanism of material failure under rapid loading conditions has been well explained in the literature also (RaviChandar and Knauss, 1984;Meyers, 1994;Wess, 2006;and Livne et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Study the effect of electrical and mechanical shock loading on liberation and milling characteristics of mineral materials

Singh

Samuelraj

Venugopal

et al. 2015

Minerals Engineering

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Section: Introductionmentioning

confidence: 99%

Study the effect of electrical and mechanical shock loading on liberation and milling characteristics of mineral materials

Singh

Samuelraj

Venugopal

et al. 2015

Minerals Engineering

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“…10,11 In the mentioned works, only deterministic geometries and crack paths were considered. Since microstructural randomness strongly impacts the macroscopic response of (quasi-) brittle materials in various ways, ranging from size effects [12][13][14][15] to high stochasticity in failure patterns and ultimate properties, [16][17][18] the development of approaches incorporating multiscale and probabilistic ingredients all together is a natural path to extend the predictive capabilities in fracture simulations. The main objective of this work is to propose a stochastic multiscale-informed phase-field approach to model crack propagation in heterogeneous media.…”

Section: Introductionmentioning

confidence: 99%

Stochastic multiscale modeling of crack propagation in random heterogeneous media

Hun

Guilleminot

Yvonnet

et al. 2019

Numerical Meth Engineering

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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 introduced to investigate scale transition. Elasticity tensor random fields are specifically defined, at that stage, through a moving‐window upscaling approach. The mesoscopic fracture toughness, which is assumed homogeneous and deterministic, is identified by solving an inverse problem involving the macroscopic peak force. A stochastic model is subsequently constructed in which the mesoscopic elasticity is described as a non‐Gaussian random field. This model allows the multiscale‐informed elastic counterpart in the phase‐field formulation to be sampled without resorting to computational homogenization. The results obtained with the sample‐based and model‐based mesoscopic descriptions are finally compared with those corresponding to the full‐scale microscopic model. It is shown, in particular, that the mesoscopic elasticity‐phase‐field formulation associated with statically uniform boundary conditions enables the accurate predictions of the mean elastic response and mean peak force.

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“…In addition, Daphalapurkar et al [12], Lin et al [13], and Cao and Lin [14] examined the effect of microcracks on the tensile properties of hard and brittle materials by numerical simulations. Yang et al [15] conducted an experimental study on natural rock containing preexisting fissures using an "artificial customization technique."…”

Section: Introductionmentioning

confidence: 99%

Use of Acoustic Emission for the Detection of Brittle Rock Failure under Various Loading Rates

Shuang

Chen

et al. 2018

Advances in Civil Engineering

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Acoustic emission has a direct correspondence to the internal damage of a material. To determine the effects of the loading rate on the mechanical properties of rock, the initial damage was characterized using the acoustic emission technique when a uniaxial preloading was imposed on a cylindrical rock sample. On this basis, the uniaxial compression test was conducted on sandstone that contains initial damage induced under a range of loading rates. e effects of the initial damage and loading rate on the mechanical properties of rock were analyzed. e uniaxial preloading generated randomly distributed microcracks in the natural rock. e results showed that the acoustic emission and positioning technique can characterize accurately the damage and its position due to preloading. e development of microcracks was found to be strongly dependent on the loading rate. Moreover, the loading rate accelerated the degradation of the rock strength. e effects of the loading rate and initial damage on the mechanical properties of rock are a complicated coupled process. From the experimental test result, a constitutive equation was constructed based on the damage mechanics.

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Predicting variability in the dynamic failure strength of brittle materials considering pre-existing flaws

Cited by 72 publications

References 47 publications

Study the effect of electrical and mechanical shock loading on liberation and milling characteristics of mineral materials

Study the effect of electrical and mechanical shock loading on liberation and milling characteristics of mineral materials

Stochastic multiscale modeling of crack propagation in random heterogeneous media

Use of Acoustic Emission for the Detection of Brittle Rock Failure under Various Loading Rates

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