A micromechanics based model to predict micro-crack coalescence in brittle materials under dynamic compression

Huq, Fazlul; Liu, J.; Tonge, Andrew L.; Graham‐Brady, Lori

doi:10.1016/j.engfracmech.2019.106515

Cited by 25 publications

(16 citation statements)

References 30 publications

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“…As cracks grow under increased loading, they are more likely to coalesce with neighboring cracks. Huq et al 52 has developed a probabilistic 2D crack coalescence model for fixed flaw orientation. Coalescence of 3D cracks, however, is a complicated phenomenon.…”

Section: Crack Coalescence Due To Crack Growthmentioning

confidence: 99%

“…Coalescence throughout crack growth including early-stage crack coalescence was observed in particle-based 45 and micromechanical models. 52 The model used to simulate dynamic crack growth in the current work ignores the modification of the number density of crack populations and their crack lengths due to crack coalescence. It remains unclear how sensitive the transition is to early-stage coalescence.…”

Section: Crack Coalescence and Granular Transitionmentioning

confidence: 99%

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Fragmentation and granular transition of ceramics for high rate loading

2022

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The paper presents a numerical model to study the transition of brittle materials from a cracked solid to a granular medium under impact loading. The model addresses competitive crack coalescence in the transition regime and provides insight into the onset of comminution and the initial conditions for subsequent granular flow. Crack statistics obtained from initial flaws using a wing crack growth-based damage model have been used to discretely model elliptical cracks in three dimensions. These discrete cracks are either generated randomly in space or with a constraint that minimizes the intersection between neighboring cracks. These cracks are then allowed to coalesce with nearby cracks along with favorable directions and the output fragment statistics are predicted. A simple statistical model is proposed that suggests a transition criterion resembling the one obtained from the numerical model. Initial fragments are power-law distributed similarly to experimental observations and particle-based models. A generalized form of a microstructure-dependent granular transition criterion based on a threshold measure of crack lengths has been proposed. This model can be implemented in numerical codes to activate granular physics and calibrate the initial conditions of granular flow, such as fragment size and morphology.

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Section: Crack Coalescence Due To Crack Growthmentioning

confidence: 99%

Section: Crack Coalescence and Granular Transitionmentioning

confidence: 99%

Fragmentation and granular transition of ceramics for high rate loading

2022

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“…al. [55] developed a crack growth and coalescence model to address this behavior. As cracks grow in length during rapid loading, multiple cracks may also coalesce simultaneously.…”

Section: Transition From Fracture To Granular Flowmentioning

confidence: 99%

Models for the behavior of boron carbide in extreme dynamic environments

et al. 2021

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We describe models for the behavior of hot-pressed boron carbide that is subjected to extreme dynamic environments such as ballistic impact. We first identify the deformation and failure mechanisms that are observed in boron carbide under such conditions, and then review physics-based models for each of these mechanisms and the integration of these models into a single physics-based continuum model for the material. Atomistic modeling relates the composition and stoichiometry to the amorphization threshold, while mesoscale

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“…Shao and Rudnicki 5 proposed a microcrack‐based continuous damage model to determine the damage evolution law from propagation condition of microcracks. Huq et al 6 developed constitutive models of dynamic brittle failure considering microcrack coalescence based on the probabilistically based approach. Li et al 7 presented a dynamic mode based on micromechanics to reveal the relationship between strain rate, crack growth velocity, and stress–strain under dynamic compressive loads in brittle materials.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on the progressive failure of double‐flawed granite samples subjected to impact loads

Zhou

et al. 2021

Fatigue Fract Eng Mat Struct

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In this paper, the split Hopkinson pressure bar device and high‐speed camera system are applied to carry out the impact tests of fine‐grained granite samples with two parallel preexisting flaws, whose angles are 0°, 15°, 30°, 45°, 60°, 75°, and 90°. The dynamic compressive strength of the double‐flawed granite samples is affected by the flaw angle. By analyzing the experimental results, the peak strengths of the double‐flawed granite samples are in low level when the flaw angles are varying from 45° to 75°, while the peak strengths of the double‐flawed granite samples are in high level when the flaw angles are in the ranges of 0°–30° and 75°–90°. The strain concentration factor is investigated based on the digital image correlation technology. Moreover, the mechanical properties, energy absorption, cracking behaviors, failure modes, and the progressive failure mechanism of the double‐flawed granite samples under impact loads are revealed.

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A micromechanics based model to predict micro-crack coalescence in brittle materials under dynamic compression

Cited by 25 publications

References 30 publications

Fragmentation and granular transition of ceramics for high rate loading

Fragmentation and granular transition of ceramics for high rate loading

Models for the behavior of boron carbide in extreme dynamic environments

Experimental study on the progressive failure of double‐flawed granite samples subjected to impact loads

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