There are many examples where creation and usage of porous substrates play important roles in various fields of application in material science and technology. In the manufacture of ceramic products, as an alternative to the plaster molds, porous resin molds are used in order to resolve the drawbacks that result A porous substrate can be produced by various ways. In this study, porous polymeric matrices of poly(methyl methacrylate) (PMMA) and poly(methyl methacrylate-co-2-hydroxyethyl methacrylate) [poly(MMA-HEMA)] polymers were prepared by connecting the polymer microspheres to each other by an epoxy adhesive. To improve the surface properties, methyl methacrylate (MMA) was copolymerized with 2-hydroxyethyl methacrylate (HEMA). The microspheres used were synthesized by suspension polymerization and characterization was done by Nuclear Magnetic Resonance (NMR), Particle Size Analyzer and Scanning Electron Microscope (SEM). The porous samples were prepared with PMMA and poly(MMA-HEMA) copolymer microspheres with two different HEMA contents and their surface energies were measured. In addition, the effect of mean particle diameter of the microspheres used and the epoxy content of the solution used to bind the microspheres, on the impregnation capacity, morphology and the impact strength of the porous samples prepared, were studied. Inclusion of HEMA into the formulation improved the impregnation capacity of the samples. Using microspheres with narrower particle size distribution resulted in larger representative capillary radii and higher rate of impregnation of the samples. Increasing the epoxy content of the solution used to bind the beads, increased the impact strengths of the samples prepared.

We examine various models of soft matter, and one model of quasicrystals, focusing on abrupt changes as density is varied. We consider in detail two models, one of granular matter and another of confined wires, showing that the models become ordered as density is increased, with crystalline order observed in the former and nematic order observed in the latter. We associate the phenomenon of random close packing with the onset of crystalline order in our granular model, and we conjecture that crumpled wires should exhibit a nematic transition with increasing compaction. We also consider two other models of granular matter: one which describes dilatancy onset as a second order phase transition, and one which describes random loose packing as a precise, well- defined density. Finally, we examine an equilibrium model of quasicrystals with a first order phase transition to a solid phase without any crystalline order. / text

Submitted by Carlos Roberto Lopes Vicente null (crlvicente@hotmail.com) on 2018-03-06T19:32:11Z No. of bitstreams: 1 Dissertação Carlos.pdf: 1349576 bytes, checksum: 4bf9e37bb7bc9015d50dd54931d60cdd (MD5) / Approved for entry into archive by Elza Mitiko Sato null (elzasato@ibilce.unesp.br) on 2018-03-07T18:09:57Z (GMT) No. of bitstreams: 1 vicente_crl_me_sjrp.pdf: 1349576 bytes, checksum: 4bf9e37bb7bc9015d50dd54931d60cdd (MD5) / Made available in DSpace on 2018-03-07T18:09:57Z (GMT). No. of bitstreams: 1 vicente_crl_me_sjrp.pdf: 1349576 bytes, checksum: 4bf9e37bb7bc9015d50dd54931d60cdd (MD5) Previous issue date: 2018-02-23 / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Na busca por novos sistemas de comunicações muitos trabalhos têm sido realizados com o objetivo de obter constelações de sinais e códigos geometricamente uniformes no espaço euclidiano. Neste contexto, nossa proposta é identificar uma estrutura algébrica e geométrica para reticulados algébricos provenientes do homomorfismo canônico que possuam densidade centro ótima. Nesse sentido, a presente dissertação tem como foco as extensões galoisianas de grau primo ímpar p e encontrar estruturas de Z-módulos via essas extensões que gerem reticulados algébricos com densidade de centro ótima. / In the search for new communication systems many works have been performed in order to get constellation geometrically uniform signs and codes in Euclidean space. In this context, our proposal is to identify an algebraic and geometric structure for algebraic lattices from the canonical homomorphism possessing great center density. In this sense, this project focuses on the galoisian extensions of p odd prime degree and find Z-module structures via these extensions that create algebraic lattices with great center density. / 2015/20595-4

O objetivo deste trabalho à construir exemplos em R2 e R3 de reticulados com mÃxima densidade de centro. O primeiro capÃtulo à destinado a introduzir os conceitos de reticulado em Rn, o de empacotamento esfÃrico, bem como apresentar algumas propriedades gerais. O segundo capÃtulo à destinado a construÃÃo dos exemplos mencionados acima a partir das raÃzes de polinÃmios quadrÃticos e cÃbicos em Z[x]. No apÃndice se encontram uma anÃlise do discriminante de um polinÃmio cÃbico e uma demonstraÃÃo do volume de uma esfera n-dimensional. / The objective of this work is to build example in R2 and R3 with lattices with maximum center density. The first chapter is supposed to introduce the concept of lattices in Rn and spheric packing, as well as present some general properties. The second chapter is done to the construction through the roorts of quatratic polynomials and cubics in Z[x]. In the apendix we find an annalisis of the discriminant of a cubic polynomial and a demonstration of a n-dimentional sphere.

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Bei der Verwendung von Hartkugelpackungen als Modelle für verschiedene Systeme in Physik, Chemie und den Ingenieurwissenschaften kommen einige Fragen auf, z.B. nach dem Zusammenhang zwischen der Packungsdichte und der Radienverteilung der Kugeln bzw. der Packungsstruktur. Der erste Teil dieser Arbeit beschäftigt sich mit dem Problem der optimalen Packungsdichte von zufällig dichten Packungen. Es wird ein Optimierungsalgorithmus vorgestellt, der aus einer vorgegebenen Klasse von Radienverteilungen diejenige bestimmt, für die die Packungsdichte maximal wird. Die Packungsstruktur kann man durch verschiedene statistische Größen charakterisieren, die im zweiten Teil dieser Arbeit beschrieben werden. Dabei wird die Abhängigkeit dieser Größen von der Packungsdichte und der Radienverteilung untersucht und gezeigt, dass in monodispersen Packungen mit zunehmender Dichte erhebliche strukturelle Veränderungen auftreten: Im Dichteintervall zwischen 0,64 und 0,66 erfolgt offenbar ein Übergang von ungeordneten zu kristallinen Packungen, bei weiterer Verdichtung entwickelt sich schließlich eine FCC-Struktur.

Bei der Verwendung von Hartkugelpackungen als Modelle für verschiedene Systeme in Physik, Chemie und den Ingenieurwissenschaften kommen einige Fragen auf, z.B. nach dem Zusammenhang zwischen der Packungsdichte und der Radienverteilung der Kugeln bzw. der Packungsstruktur. Der erste Teil dieser Arbeit beschäftigt sich mit dem Problem der optimalen Packungsdichte von zufällig dichten Packungen. Es wird ein Optimierungsalgorithmus vorgestellt, der aus einer vorgegebenen Klasse von Radienverteilungen diejenige bestimmt, für die die Packungsdichte maximal wird. Die Packungsstruktur kann man durch verschiedene statistische Größen charakterisieren, die im zweiten Teil dieser Arbeit beschrieben werden. Dabei wird die Abhängigkeit dieser Größen von der Packungsdichte und der Radienverteilung untersucht und gezeigt, dass in monodispersen Packungen mit zunehmender Dichte erhebliche strukturelle Veränderungen auftreten: Im Dichteintervall zwischen 0,64 und 0,66 erfolgt offenbar ein Übergang von ungeordneten zu kristallinen Packungen, bei weiterer Verdichtung entwickelt sich schließlich eine FCC-Struktur.

Ce travail porte sur la compréhension de l’impact de la microstructure sur les performances des Cellules à Oxyde Solide (SOC), avec une illustration sur l’électrode à oxygène en LSCF-CGO. Une approche couplant de la modélisation géométrique et électrochimique a été adoptée pour cet effet. Le modèle des champs aléatoires plurigaussiens et un autre basé sur des empilements de sphères ont été développés et adaptés pour les microstructures des SOCs. Ces modèles 3D de géométrie stochastique ont été ensuite validés sur différentes électrodes reconstruites par nano-holotomographie aux rayons X au synchrotron ou par tomographie avec un microscope électronique à balayage couplé à une sonde ionique focalisée. Ensuite, des corrélations semi-analytiques ont été proposées et validées sur une large base de microstructures synthétiques. Ces relations permettent de relier les paramètres ‘primaires’ de l’électrode (la composition, la porosité et les diamètres des phases) aux paramètres qui pilotent les réactions électrochimiques (la densité de points triples, les surfaces spécifiques interphases) et sont particulièrement pertinents pour les équipes de mise-en-forme des électrodes qui ont plus de contrôle sur ce premier ensemble de paramètres. Concernant la partie portant sur l’électrochimie, des tests sur une cellule symétrique en LSCF-CGO ont permis de valider un modèle déjà développé au sein du laboratoire, et qui permet de simuler la réponse électrochimique d’une électrode à oxygène à partir des données thermodynamiques et de microstructure. Finalement, le couplage des deux modèles validés a permis d’étudier l’impact de la composition des électrodes, leur porosité ou encore taille des grains sur leurs performances. Ces résultats pourront guider les équipes de mise-en-forme des électrodes vers des électrodes plus optimisées. / This work aims at better understanding the impact of Solid Oxide Cells (SOC) microstructure on their performance, with an illustration on an LSCF-CGO electrode. A coupled 3D stochastic geometrical and electrochemical modeling approach has been adopted. In this frame, a plurigaussian random field model and an in-house sphere packing algorithm have been adapted to simulate the microstructure of SOCs. The geometrical models have been validated on different electrodes reconstructed by synchrotron X-ray nano-holotomography or focused ion-beam tomography. Afterwards, semi-analytical microstructural correlations have been proposed and validated on a large dataset of representative synthetic microstructures. These relationships allow establishing the link between the electrode ‘basic’ parameters (composition, porosity and grain size), to the ‘key’ electrochemical parameters (Triple Phase Boundary length density and Specific surface areas), and are particularly useful for cell manufacturers who can easily control the first set of parameters. Concerning the electrochemical part, a reference symmetrical cell made of LSCF-CGO has been tested in a three-electrode setup. This enabled the validation of an oxygen electrode model that links the electrode morphological parameters to its polarization resistance, taking into account the thermodynamic data. Finally, the coupling of the validated models has enabled the investigation of the impact of electrode composition, porosity and grain size on the cell electrochemical performance, and thus providing useful insights to cell manufacturers.

We study inverse treatment planning approaches for stereotactic radiosurgery using Leksell Gamma Knife Perfexion (PFX, Elekta, Stockholm, Sweden) to treat brain cancer and tumour patients. PFX is a dedicated head-and-neck radiation delivery device that is commonly used in clinics. In a PFX treatment, the patient lies on a couch and the radiation beams are emitted from eight banks of radioactive sources around the patient's head that are focused at a single spot, called an isocentre. The radiation delivery in PFX follows a step-and-shoot manner, i.e., the couch is stationary while the radiation is delivered at an isocentre location, and only moves when no beam is being emitted. To find a set of well-positioned isocentres in tumour volumes, we explore fast geometry-based algorithms, including skeletonization and hybrid grassfire and sphere-packing approaches. For the selected set of isocentres, the optimal beam durations to deliver a high prescription dose to the tumour are later found using a penalty-based optimization model. We next extend our grassfire and sphere-packing isocentre selection method to treatments with homogenous dose distributions. Dose homogeneity is required in multi-session plans where a larger volume is treated to account for daily setup errors, and thus large overlaps with surrounding healthy tissue may exist. For multi-session plans, we explicitly consider the healthy tissue overlaps in our algorithms and strategically select many isocentres in adjacent volumes to avoid hotspots. There is also interest in treating patients with continuous couch motion to decrease the total treatment session and increase plan quality. We therefore investigate continuous dose delivery treatment plans for PFX. We present various path selection methods along which the dose is delivered using Hamiltonian paths techniques, and develop mixed-integer and linear approximation models to determine the configuration and duration of the radiation time along the paths. We consider several criteria in our optimization models, including machine speed constraints and movement accuracy, preference for single or multiple paths, and smoothness of movement. Our plans in all proposed approaches are tested on seven clinical cases and can meet or exceed clinical guidelines and usually outperform clinical treatments.