Scaling probability distribution of granular chains in two dimensions

Wang, Guan; Zheng, Ning; Wen, Pingping; Li, Liangsheng; Shi, Quan

doi:10.1016/j.physa.2014.03.066

Cited by 4 publications

(4 citation statements)

References 21 publications

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“…The similar behavior between jamming state of granular chains with glass state of polymers was thus illustrated [17]. Our experiments subsequently revealed that statistical scaling characteristics of two-dimensional granular chains are in good accord with the theoretical expectations of polymer models [18][19][20].…”

Section: Introductionsupporting

confidence: 79%

“…The previous contributions on the static packing of granular chains mainly put emphasis on the packing structures near the jamming transition [17,21], or on an analogy between their statistical properties and theoretical predictions in polymer science [17][18][19][20], aiming to provide a possible way to uncover the physics that is experimentally inaccessible for polymers. Although the packing column confined in a container can also act as a simple but valid experimental system to test many theoretical models for the repartition or the transmission of stresses in granular materials [22][23][24][25], the mechanical behavior of the packing of granular chains did not receive enough attention until Brown et al revealed that a stress response in granular chains was very distinct from common grains, namely individual grains [26].…”

Section: Introductionmentioning

confidence: 99%

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Bottom stresses of static packing of granular chains

Wen¹,

Wang²,

Hao³

et al. 2015

Physica A: Statistical Mechanics and its Applications

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h i g h l i g h t s• Bottom stress of a granular chains column is measured precisely and reproducibly.• Scaling behavior of the stress saturation curves agrees with the Janssen model. • Saturation mass is shown as a nonmonotonic function of the chain length.• A transition of the saturation mass is found at the persistence length of chains. • Entanglements as a possible explanation for nonmonotonic behavior are presented. a b s t r a c tWe experimentally measure the static stress at the bottom of a granular chains column with a precise and reproducible method. The relation, between the filling mass and the apparent mass converted from the bottom stress, is investigated on various chain lengths. Our measurements reconfirm that the scaling behavior of the stress saturation curves is in accord with the theoretical expectation of the Janssen model. Additionally, the saturation mass is displayed as a nonmonotonic function of the chain length, where a distinguishing transition of the saturation mass is found at the persistence length of the granular chain. We repeat the measurement with another measuring methodology and a silo with different size, respectively, the position of the peak maintains robust. In order to understand the transition of the saturation mass, the friction coefficient and the volume fraction of granular chains are also measured, from which Janssen parameter can be calculated. Finally, we preliminarily measure the bottom stress for two distinct packing structures of long chains, find the effect of the entanglements on the bottom stress, and argue that the entanglements might be responsible for the transition of the saturation mass.

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Section: Introductionsupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Bottom stresses of static packing of granular chains

Wen¹,

Wang²,

Hao³

et al. 2015

Physica A: Statistical Mechanics and its Applications

Self Cite

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“…Consequently, in the event that a large data set is unavailable, the BN parameters must be elicited from domain experts. Fortunately, a number of methods have been incorporated into the field of decision analysis for the elicitation of probabilities in such problems, and these include: the verbal versus numerical probability assessment [34], the probability scale [35] and the gamble method [36]. The probability scale and the gamble method have been proven to be effective ways of eliciting probabilities and are widely used in the construction of decision-analytic models.…”

Section: Elicitation Of Bn Parameters For the Behaviour Networkmentioning

confidence: 99%

Study on the Relationship between Worker States and Unsafe Behaviours in Coal Mine Accidents Based on a Bayesian Networks Model

2019

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Unsafe behaviours, such as violations of rules and procedures, are commonly identified as important causal factors in coal mine accidents. Meanwhile, a recurring conclusion of accident investigations is that worker states, such as mental fatigue, illness, physiological fatigue, etc., are important contributory factors to unsafe behaviour. In this article, we seek to provide a quantitative analysis on the relationship between the worker state and unsafe behaviours in coal mine accidents, based on a case study drawn from Chinese practice. Using Bayesian networks (BN), a graphical structure of the network was designed with the help of three experts from a coal mine safety bureau. In particular, we propose a verbal versus numerical fuzzy probability assessment method to elicit the conditional probability of the Bayesian network. The junction tree algorithm is further employed to accomplish this analysis. According to the BN established by expert knowledge, the results show that when the worker is in a poor state, the most vulnerable unsafe behaviour is violation, followed by decision-making error. Furthermore, insufficient experience may be the most significant contributory factor to unsafe behaviour, and poor fitness for duty may be the principal state that causes unsafe behaviours.

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“…27,28 Another class is the geometric cohesion derived from particle morphologies wherein granular particles or a combination of particles act as flexible filaments, e.g. long glass rods, [29][30][31][32] polymer filaments, 6,33 flexible granular chains [34][35][36][37][38][39][40][41] etc. Because of their flexible nature, the interchain entanglement of these filaments imparts additional rigidity or cohesion to these ensembles.…”

Section: Introductionmentioning

confidence: 99%