Microscopic Origin of Macroscopic Strength in Granular Media: A Numerical and Analytical Approach

Constitutive modeling in granular materials has historically been based on macroscopic experimental observations that, while being usually effective at predicting the bulk behavior of these type of materials, suffer important limitations when it comes to understanding the physics behind grain-to-grain interactions that induce the material to macroscopically behave in a given way when subjected to certain boundary conditions.

The advent of the discrete element method (DEM) in the late 1970s helped scientists and engineers to gain a deeper insight into some of the most fundamental mechanisms furnishing the grain scale. However, one of the most critical limitations of classical DEM schemes has been their inability to account for complex grain morphologies. Instead, simplified geometries such as discs, spheres, and polyhedra have typically been used. Fortunately, in the last fifteen years, there has been an increasing development of new computational as well as experimental techniques, such as non-uniform rational basis splines (NURBS) and 3D X-ray Computed Tomography (3DXRCT), which are contributing to create new tools that enable the inclusion of complex grain morphologies into DEM schemes.

Yet, as the scientific community is still developing these new tools, there is still a gap in thoroughly understanding the physical relations connecting grain and continuum scales as well as in the development of discrete techniques that can predict the emergent behavior of granular materials without resorting to phenomenology, but rather can directly unravel the micro-mechanical origin of macroscopic behavior.

In order to contribute towards closing the aforementioned gap, we have developed a micro-mechanical analysis of macroscopic peak strength, critical state, and residual strength in two-dimensional non-cohesive granular media, where typical continuum constitutive quantities such as frictional strength and dilation angle are explicitly related to their corresponding grain-scale counterparts (e.g., inter-particle contact forces, fabric, particle displacements, and velocities), providing an across-the-scale basis for better understanding and modeling granular media.

In the same way, we utilize a new DEM scheme (LS-DEM) that takes advantage of a mathematical technique called level set (LS) to enable the inclusion of real grain shapes into a classical discrete element method. After calibrating LS-DEM with respect to real experimental results, we exploit part of its potential to study the dependency of critical state (CS) parameters such as the critical state line (CSL) slope, CSL intercept, and CS friction angle on the grain's morphology, i.e., sphericity, roundness, and regularity.

Finally, we introduce a first computational algorithm to ``clone'' the grain morphologies of a sample of real digital grains. This cloning algorithm allows us to generate an arbitrary number of cloned grains that satisfy the same morphological features (e.g., roundness and aspect ratio) displayed by their real parents and can be included into a DEM simulation of a given mechanical phenomenon. In turn, this will help with the development of discrete techniques that can directly predict the engineering scale behavior of granular media without resorting to phenomenology.

The analytical approach of the European Court of Human Rights in surveillance cases—the implications, justifications, and future of the Court’s reasoning, with a focus on the legislative impact in Ireland

A notable feature of the surveillance case law of the European Court of Human Rights has been the tendency of the Court to focus on the “in accordance with the law” aspect of the Article 8 ECHR inquiry. This focus has been the subject of some criticism, but the impact of this approach on the manner in which domestic surveillance legislation has been formulated in the Party States has received little scholarly attention. This thesis addresses that gap in the literature through its consideration of the Interception of Postal Packets and Telecommunications Messages (Regulation) Act, 1993 and the Criminal Justice (Surveillance) Act, 2009. While both Acts provide several of the safeguards endorsed by the European Court of Human Rights, this thesis finds that they suffer from a number of crucial weaknesses that undermine the protection of privacy. This thesis demonstrates how the focus of the European Court of Human Rights on the “in accordance with the law” test has resulted in some positive legislative change. Notwithstanding this fact, it is maintained that the legality approach has gained prominence at the expense of a full consideration of the “necessary in a democratic society” inquiry. This has resulted in superficial legislative responses at the domestic level, including from the Irish government. Notably, through the examination of a number of more recent cases, this project discerns a significant alteration in the interpretive approach adopted by the European Court of Human Rights regarding the application of the necessity test. The implications of this development are considered and the outlook for Irish surveillance legislation is assessed.

Modelling of a dosator: an analytical approach based on measured powder flow properties

[No abstract is available for this article.]

Semiclassical analytical approach to the description of quasimolecular optical transitions

A formula was obtained that describes asymptotically forbidden quasimolecular optical transitions in the frame of the semiclassical approach. It is particularly relevant for the weak extrema in the difference between the ground- and excited- state interaction potentials. When averaged over impact parameters and velocity distribution the formula agreed reasonably well with the recent experimental data for the Ca(4(1)S --> 3(1)D) + He transition.

Quantification of DNA damage by PFGE: development of an analytical approach to correct for the background distribution

Purpose: To analyse the currently existing methods to infer the extent of cellular DNA damage induced by ionizing radiation when the pulsed field gel electrophoresis (PFGE) technique is used.

The lip:A histologic and analytical approach of relevance to esthetic plastic surgery

This is a study done for the first time to understand the histologic features of the lip deeply, quantitatively, and analytically and identify the differences between the outer, intermediate, and inner parts of the lips. Previous researchers did not tackle the histologic features of the lip from this point of view. Half lip was obtained from different well-preserved cadavers where the upper lip, lower lip, and lip angle were evaluated by coronal histologic sections. A total of 43 slides were studied and photographed using light and digital microscopes (Nikon COOLSCOPE, Nikon Corporation, Tokyo, Japan), respectively. The cadavers (26 men and 17 women) were in the age group of 45 to 65 years old, and older than 65 years. Data were entered on a study pro forma and statistically analyzed. Normal histologic features of the upper lip, intermediate, and the inner lip sections were observed. Fibrous septations that sometimes had muscular components inserting into them could be identified. In between these septations, there were loose areas (chambers). The mean numbers of chambers identified in the upper and lower lips were higher in the red areas, and more septations and chambers were identified in the lower lip. New histologic observations were classified into types 1 to 7. Significant relations were identified between the total number of septations and chambers in relation to age group and sex. Higher means of septations and chambers were detected in the age group older than 65 years, and in women as a whole. In conclusion, the findings detected in this work could explain the congenital lip pits that are familial or syndromic and many post-lip augmentation complications. © 2009 Lippincott Williams & Wilkins, Inc.

Anatomic dissection of the arterial supply of the lips:an anatomical and analytical approach

Previous investigators have not described some of the new anatomic variations or provided quantitative and analytical data of the arterial anatomy of the lips in as much depth as in this study. Dissections of 14 different facial sides of cadavers were done. Through investigating the arterial supply of the upper and lower lips, measurements were performed and statistically analyzed. The main arterial supply of the upper lip was from the superior labial artery (SLA, mean external diameter, 1.8 mm [SD, 0.74 mm]); in addition, the subalar and septal branches contributed to its vascularization. The origin of the SLA was above the labial commissure in 78.6%. The subalar branch was not found but replaced by the alar artery that arose from the infraorbital artery in 1 specimen. The main arterial supply of the lower lip was derived from 3 branches of the facial artery, the inferior labial artery (mean external diameters, 1.4 mm [SD, 0.31 mm]) and the horizontal and vertical labiomental arteries. The inferior labial artery originated mostly below the labial commissure in 42.9% and formed a common trunk with the SLA in 28.6%. The horizontal labiomental artery was present in all, but vertical labiomental artery was absent in 21.4% of specimens. Overall, observed anatomic variations were classified into types I to VIII. Significant relations between the demographic variables and measured parameters were reported including the correlation coefficient among evaluated parameters. In conclusion, this study provides various information that aids in creating new flaps and supports the vascular base for clinical procedures in reconstructive surgery of the lip.

A new analytical approach for the detection of palm oil in vegetable oil blends

The new Food Information Regulation (1169/2011), dictates that in a refined vegetable oil blend, the type of oil must be clearly identified in the package in contract with current practice where is labelled under the generic and often misleading term “vegetable oil”. With increase consumer awareness in food authenticity, as shown in the recent food scandal with horsemeat in beef products, the identification of the origin of species in food products becomes increasingly relevant. Palm oil is used extensively in food manufacturing and as global demand increases, producing countries suffer from the aftermath of intensive agriculture. Even if only a small portion of global production, sustainable palm oil comes in great demand from consumers and industry. It is therefore of interest to detect the presence of palm oil in food products as consumers have the right to know if it is present in the product or not, mainly from an ethical point of view. Apart from palm oil and its derivatives, rapeseed oil and sunflower oil are also included. With DNA-based methods, the gold standard for the detection of food authenticity and species recognition deemed not suitable in this analytical problem, the focus is inevitably drawn to the chromatographic and spectroscopic methods. Both chromatographic (such as GC-FID and LC-MS) and spectroscopic methods (FT-IR, Raman, NIR) are relevant. Previous attempts have not shown promising results due to oils’ natural variation in composition and complex chemical signals but the suggested two-step analytical procedure is a promising approach with very good initial results.

A Continuous Time Markov Chain Based Sequential Analytical Approach for Composite Power System Reliability Assessment

This paper proposes a continuous time Markov chain (CTMC) based sequential analytical approach for composite generation and transmission systems reliability assessment. The basic idea is to construct a CTMC model for the composite system. Based on this model, sequential analyses are performed. Various kinds of reliability indices can be obtained, including expectation, variance, frequency, duration and probability distribution. In order to reduce the dimension of the state space, traditional CTMC modeling approach is modified by merging all high order contingencies into a single state, which can be calculated by Monte Carlo simulation (MCS). Then a state mergence technique is developed to integrate all normal states to further reduce the dimension of the CTMC model. Moreover, a time discretization method is presented for the CTMC model calculation. Case studies are performed on the RBTS and a modified IEEE 300-bus test system. The results indicate that sequential reliability assessment can be performed by the proposed approach. Comparing with the traditional sequential Monte Carlo simulation method, the proposed method is more efficient, especially in small scale or very reliable power systems.

Simple model of adsorption on external surface of carbon nanotubes: a new analytical approach basing on molecular simulation data

Nitrogen adsorption on carbon nanotubes is wide- ly studied because nitrogen adsorption isotherm measurement is a standard method applied for porosity characterization. A further reason is that carbon nanotubes are potential adsorbents for separation of nitrogen from oxygen in air. The study presented here describes the results of GCMC simulations of nitrogen (three site model) adsorption on single and multi walled closed nanotubes. The results obtained are described by a new adsorption isotherm model proposed in this study. The model can be treated as the tube analogue of the GAB isotherm taking into account the lateral adsorbate-adsorbate interactions. We show that the model describes the simulated data satisfactorily. Next this new approach is applied for a description of experimental data measured on different commercially available (and characterized using HRTEM) carbon nanotubes. We show that generally a quite good fit is observed and therefore it is suggested that the observed mechanism of adsorption in the studied materials is mainly determined by adsorption on tubes separated at large distances, so the tubes behave almost independently.

Describing the design of children’s books: an analytical approach

Descriptions of graphic language are relatively rare compared to descriptions of spoken language. This paper presents an analytical approach to studying the visual attributes and conventions in children’s reading and information books. The approach comprises development of a checklist to record ‘features’ of visual organization, such as those relevant to typography and layout, illustration and the material qualities of the books, and consideration of the contextual factors that influence the ways that features have been organized or treated. The contextual factors particularly relevant to children’s reading include educational policy, legibility and vision research and typeface development and availability. The approach to analysis and description is illustrated with examples of children’s reading and information books from the Typographic Design for Children database, which also demonstrates an application of the checklist approach.

Contact angle of a hemispherical bubble: an analytical approach

We have calculated the equilibrium shape of the axially symmetric Plateau border along which a spherical bubble contacts a flat wall, by analytically integrating Laplace’s equation in the presence of gravity, in the limit of small Plateau border sizes. This method has the advantage that it provides closed-form expressions for the positions and orientations of the Plateau border surfaces. Results are in very good overall agreement with those obtained from a numerical solution procedure, and are consistent with experimental data. In particular we find that the effect of gravity on Plateau border shape is relatively small for typical bubble sizes, leading to a widening of the Plateau border for sessile bubbles and to a narrowing for pendant bubbles. The contact angle of the bubble is found to depend even more weakly on gravity.