The Saar Plebiscite

Wambaugh, Sarah

doi:10.4159/harvard.9780674366459

Cited by 67 publications

(11 citation statements)

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“…Indeed D(s) ∼ s −3/2 can be understood as the orientational version of the critical q-model proposed for describing force propagation in a granular packing [32,33]. Very recently, a similar result was obtained for a two-dimensional ensemble of birefringent discs, where the force network was described by a simple graph [33]. Figure 6(a) displays a faster decay of the big cluster size distribution.…”

Section: Morphology Of the Rod Depositssupporting

confidence: 57%

“…This result was explained in [17] in the context of aggregation systems with injection [30] or random multiplicative processes [31]. Indeed D(s) ∼ s −3/2 can be understood as the orientational version of the critical q-model proposed for describing force propagation in a granular packing [32,33]. Very recently, a similar result was obtained for a two-dimensional ensemble of birefringent discs, where the force network was described by a simple graph [33].…”

Section: Morphology Of the Rod Depositsmentioning

confidence: 62%

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Granular packings of elongated faceted particles deposited under gravity

Hidalgo¹,

Zuriguel²,

Maza³

et al. 2010

J. Stat. Mech.

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Abstract. We report experimental and theoretical results of the effect that particle shape has on the packing properties of granular materials. We have systematically measured the particle angular distribution, the cluster size distribution and the stress profiles of ensembles of faceted elongated particles deposited in a bidimensional box. Stress transmission through this granular system has been numerically simulated using a two-dimensional model of irregular particles. For grains of maximum symmetry (squares), the stress propagation localizes and forms chain-like forces analogous to those observed for granular materials composed of spheres. For thick layers of grains, a pressure saturation is observed for deposit depths beyond a characteristic length. This scenario correlates with packing morphology and can be understood in terms of stochastic models of aggregation and random multiplicative processes. As grains elongate and lose their symmetry, stress propagation is strongly affected. Lateral force transmission becomes less favored than vertical transfer, and hence, an increase in the pressure develops with depth, hindering force saturation.

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Section: Morphology Of the Rod Depositssupporting

confidence: 57%

Section: Morphology Of the Rod Depositsmentioning

confidence: 62%

Granular packings of elongated faceted particles deposited under gravity

Hidalgo¹,

Zuriguel²,

Maza³

et al. 2010

J. Stat. Mech.

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“…For each contact network, we can determine a subset of contacts for which the particle-scale pressure is greater than the mean for the whole silo. This subset of contacts can be thought of as roughly comprising a force network, for which the same graph and network properties as the contact network can also be calculated [33].…”

Section: Horizontal Variations and Fluctuationsmentioning

confidence: 99%

Force networks and elasticity in granular silos

2010

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We have made experimental observations of the force networks within a two-dimensional granular silo similar to the classical system of Janssen. Models like that of Janssen predict that pressure within a silo saturates with depth as the result of vertical forces being redirected to the walls of the silo where they can then be carried by friction. We use photoelastic particles to obtain information not available in previous silo experiments --the internal force structure. We directly compare various predictions with the results obtained by averaging ensembles of experimentally obtained force networks. We identify several differences between the mean behavior in our system and that predicted by Janssen-like models: We find that the redirection parameter describing how the force network transfers vertical forces to the walls varies with depth. We find that changes in the preparation of the material can cause the pressure within the silo to either saturate or to continue building with depth. Most strikingly, we observe a nonlinear response to overloads applied to the top of the material in the silo. For larger overloads we observe the previously reported "giant overshoot" effect where overload pressure decays only after an initial increase (G. Ovarlez et al., Phys. Rev. E 67, 060302(R) (2003)). For smaller overloads we find that additional pressure propagates to great depth. Analysis of the differences between the inter-grain contact and force networks suggests that, for our system, when the load and the particle weight are comparable, particle elasticity acts to stabilize the force network, allowing deep propagation. For larger loads, the force network rearranges, resulting in the expected, Janssen-like behavior. Thus, a meso-scale network phenomenon results in an observable nonlinearity in the mean pressure profile.

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“…Therefore, prescriptive formulations would not be the determining factor in court decisions, having to overcome the conviction that it is worth grouping cases and legal situations in fixed categories as practiced in the past. Similarly, it must be emphasised that any assessment of a part or sector of the Law must be done according to its effects 18 . It involves the actual functioning of the courts, those aspects affecting their decisions and the weight of extralegal factors.…”

Section: Aspects That Help Us Clarify If We Can Really Talk About a Jmentioning

confidence: 99%

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2020

AJL

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Mission ATINER is an Athens-based World Association of Academics and Researchers based in Athens. ATINER is an independent and non-profit Association with a Mission to become a forum where Academics and Researchers from all over the world can meet in Athens, exchange ideas on their research and discuss future developments in their disciplines, as well as engage with professionals from other fields. Athens was chosen because of its long history of academic gatherings, which go back thousands of years to Plato's Academy and Aristotle's Lyceum. Both these historic places are within walking distance from ATINER"s downtown offices. Since antiquity, Athens was an open city. In the words of Pericles, Athens"…is open to the world, we never expel a foreigner from learning or seeing". ("Pericles" Funeral Oration", in Thucydides, The History of the Peloponnesian War). It is ATINER"s mission to revive the glory of Ancient Athens by inviting the World Academic Community to the city, to learn from each other in an environment of freedom and respect for other people"s opinions and beliefs. After all, the free expression of one"s opinion formed the basis for the development of democracy, and Athens was its cradle. As it turned out, the Golden Age of Athens was in fact, the Golden Age of the Western Civilization. Education and (Re)searching for the "truth" are the pillars of any free (democratic) society. This is the reason why Education and Research are the two core words in ATINER"s name.

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The Saar Plebiscite

Cited by 67 publications

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Granular packings of elongated faceted particles deposited under gravity

Granular packings of elongated faceted particles deposited under gravity

Force networks and elasticity in granular silos

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