Cette thèse porte sur l’homogénéisation quantitative d’équations aux dérivées partielles paraboliques, et de problèmes elliptiques discrets. Dans l’introduction, nous voyons comment de tels problèmes, même lorsque les coefficients sont déterministes, résultent d’un modèle aléatoire. Nous donnons ensuite une notion de ce qu’est l’homogénéisation : que se passe-t-il lorsque les coefficients eux-mêmes sont aléatoires, est-il possible de considérer qu’un environnement présentant des inhomogénéités sur de très petites échelles, se comporte d’une manière proche d’un environnement fictif qui serait homogène ?Nous donnons ensuite une interprétation de cette question en terme de marche aléatoire en conductances aléatoires, puis donnons une idée des outils utilisés dans les preuves des deux chapitres suivants. Dans le chapitre II, nous démontrons un résultat d’homogénéisation quantitative pour une équation parabolique – l’équation de la chaleur par exemple – dans un environnement admettant des coefficients aléatoires et dépendant du temps. La méthode utilisée consiste à considérer les solutions d’un tel problème comme optimiseurs de fonctionnelles qui seront définies au préalable, puis d’utiliser la propriété cruciale de sous-additivité de ces quantités, afin d’en déduire une convergence puis un résultat de concentration, qui permettra d’en déduire une vitesse de convergence des solutions vers la solution du problème homogénéisé, Dans le chapitre III, nous adaptons ces méthodes pour un problème elliptique sur le graphe Zd. / This thesis deals with quantitative stochastic homogenization of parabolic partial differential equations, and discrete elliptic problems. In the introduction, we see how can such problems come from random models, even when the coefficients are deterministic. Then, we introduce homogenization : what happen if the coefficients themselves are random ? Could we consider that an environment with microscopical random heterogeneities behaves, at big scale, as a fictious deterministic homogeneous environment ? Then, we give a random walk in random environment interpretation and the sketch of the proofs in the two following chapters. In chapter II, we prove a quantitative homogenization result for parabolic PDEs, such as heat equation, in environment admitting time and space dependent coefficients. The method of the proof consists in considering solutions of such problems as minimizers of variational problems. The first step is to express solutions as minimizers, and then to use the capital property of subadditivity of the corresponding quantities, in order to deduce convergence and concentration result. From that, we deduce a rate of convergence of the actual solutions to the homogenized solution. In chapter III, we adapt these methods to a discrete elliptic problem on the lattice Zd.

La thèse s’intéresse au comportement thermomécanique des circuits imprimés pour des applications spatiales hyperfréquences. Dans cette étude, les circuits imprimés sont des assemblages multi-matériaux faisant intervenir des substrats diélectriques (composites tissés) et des connexions en cuivre. Les circuits étudiés sont des multicouches et l’information électrique transite d'une couche à l'autre par le biais de trous traversants : des perçages réalisés à travers les différentes couches, recouverts de cuivre par électrodéposition. Tout satellite comporte de l’électronique embarquée dont le circuit imprimé constitue le support et les connexions. Dans le cadre des applications spatiales, le circuit imprimé subira des variations importantes de température. Ces chargements engendrent des déformations qui ne sont pas homogènes dans les différents matériaux, pouvant mener à des contraintes importantes qui seront source de défaillances. En effet, les coefficients d'expansion thermique des substrats diélectriques et du cuivre sont différents. À chaque cycle thermique, le cuivre est alors entrainé sous chargement alterné. Suivant les configurations, le cuivre peut se plastifier et rompre après quelques centaines ou milliers de cycles thermiques (fatigue oligo-cyclique). On remarque que les ruptures sont souvent observées dans les trous traversant. Deux volets sont identifiables dans la thèse : un premier volet de caractérisation du comportement thermomécanique des matériaux présents dans les circuits imprimés hyperfréquences (substrats composites et cuivre), et un second volet concernant les simulations de configurations stratégiques à partir des comportements identifiés / In this thesis, the thermomechanical behavior of Printed Circuit Boards with high frequency space applications is assessed. A printed circuit board is a multi-material assembly, linking dielectric substrates and copper paths. The studied PCBs are multilayers, thus drills are made through these layers with copper electrodeposited on the wall of the hole, allowing the electrical signal to go from one layer to the other. Any satellite carries embedded electronics and the PCB is the link and the support of these electronics. During the life of the PCB in space applications, important temperature changes will drive strains which are inhomogeneous in the different materials and thus will lead to important stresses, root of the observed failures. Indeed, the coefficients of thermal expansion of the dielectric substrates are different than the one of copper. For each thermal cycle, the copper undergoes thus an alternate loading. Depending on the configuration, the copper may endure plastic strain and break after hundreds or a few thousands of cycles (oligo-cyclic fatigue). These failures happen often in the copper barrels linking the different layers.Two phases are distinguishable in the thesis: a first phase in which the thermomechanical behaviors of the materials constituting high frequency printed circuit boards is assessed (composites substrates and copper), and a second phase concerning the simulations of crucial configurations thanks to the identified behaviors of the materials

Submitted by MÁRCIA REGINA SOARES DE ARAUJO null (araujo_mrs@yahoo.com.br) on 2016-04-22T21:05:13Z No. of bitstreams: 1 ARAUJO, MRS 2016 FINAL.pdf: 3095554 bytes, checksum: 349f72795aff7101578c5624db06a122 (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-04-26T18:34:15Z (GMT) No. of bitstreams: 1 araujo_mrs_dr_rcla.pdf: 3095554 bytes, checksum: 349f72795aff7101578c5624db06a122 (MD5) / Made available in DSpace on 2016-04-26T18:34:15Z (GMT). No. of bitstreams: 1 araujo_mrs_dr_rcla.pdf: 3095554 bytes, checksum: 349f72795aff7101578c5624db06a122 (MD5) Previous issue date: 2016-02-23 / O processo de monopolização capitalista na agricultura que a região dos cerrados piauienses vivencia remete às transformações territoriais e à recomposição no território de ordem técnica e orgânica. Essa reestruturação territorial adorna fatores que induzem as cidades preexistentes a se revestirem de acordo com as dinâmicas oriundas do campo. Nesse sentido, a presente Tese tem como objetivo central compreender as novas dinâmicas do espaço rural/urbano dos cerrados nordestinos decorrentes do avanço recente do agronegócio na região, em particular o município piauiense de Uruçuí. A metodologia empregada neste trabalho constou de levantamento bibliográfico, pesquisa de campo, construção de dados a partir de instituições públicas e privadas, observação direta, diário de campo, levantamento cartográfico e iconográfico; por fim, a elaboração da tese. A trilha metodológica percorrida propiciou a constatação de elementos aparentemente dissimétricos, como homogeneização e desigualdade que aparecem fartamente nas determinações territoriais do município. A homogeneização das paisagens é reflexo da agricultura mundializada e se traduz na constituição de uma paisagem monocromática. No âmbito das relações sociais de poder, as ações hegemonizantes do capital obliteram parcela significativa da comunidade local desse processo. Como um dos elementos fundadores da dinâmica econômica presente no município está a aplicação de recursos que dizem respeito aos créditos agrícolas, e que despertou o interesse de produtores capitalizados das mais diversas regiões do País. Outro fator ímpar que garante a constatação da desigualdade social se refere ao comportamento altamente concentrador da estrutura fundiária da região. Ao longo do trabalho. foi possível identificar as determinações territoriais da lógica da produção de commodities impressas nesse município, pela ação do capital monopolista e financeiro. Essas determinações também oportunizaram observar claramente que o pêndulo das oportunidades se direcionam em grande medida para os sujeitos que aportam no município providos de capital. A administração pública ineficiente e a baixa absorção de mão de obra por parte do setor privado demonstram quão segregador é esse processo. A inadimplência, a falta de oportunidades e o alijamento da população camponesa, homens e mulheres não conseguem dialogar com o discurso de desenvolvimento e prosperidade, ventilada aos quatro cantos do país pelo discurso hegemônico. A realidade é que a produção nos cerrados piauienses tem, de fato, alcançado patamares elevados de produção e produtividade; no entanto, a promoção de ganhos é unilaterial, o que amplia os desníveis e injustiças sociais dos quais grande parcela da comunidade local é vítima. / The process of capitalist monopolization in agriculture which the region of the Savannas of Piauí experience refer to territorial transformations, and a recomposition in the territory of technical and organic reasons. This territorial restructuring adorns several factors that induce the pre-existing towns to adapt according to the dynamics from the field. In this regard, this thesis is mainly aimed to understand the new dynamics of rural-urban area of northeastern savannas arising from the recent development of agribusiness in the region, in particularly a town called Uruçui. The methodology employed in this work consisted of bibliographic survey, field research, construction of data from public and private institutions, direct observation, field jornal, cartographic and iconographic survey and, finally, the elaboration of the thesis. The methodological tools used provided the observation of elements apparently dissymmetric as homogenization and inequality that appear widely in the territorial regulations of the town. The homogenization of landscapes is a reflection of the mundialization of the agriculture and translates in the constitution of a monochromatic landscape. Within the framework of social relations of power, the hegomonic actions of the capital obliterate significant portion of the local community in this process. As one of the founding elements of economic dynamics present in the municipality is the application of resources relating to agricultural credits that aroused the interest of capitalized producers from different regions of the country. Another unique factor that ensures the evidence of social inequality refers to high concentrator behavior of the agrarian structure of the region. Over the course of the work it was possible to identify territorial determinations of the logic of production of commodities demonstrated in this municipality by monopoly capital and financial action. These determinations also nurture observe clearly the pendulum guide opportunities largely for producers who come in the municipality with capital. The inefficient public administration and low absorption of labour by private sector demonstrate how segregated is this process. Failury pay, lack of opportunities and the decrease of the rural population, men and women are unable to engage in dialogue of development and prosperity spread to the all corners of the country by the hegemonic discourse. In fact, The reality is that production on the savanas of Piauí has achieved high levels of production and productivity, however, the promotion of gains is unilateral which broadens gaps and social injustices from which large portion of the local community is the victim.

Nous analysons les propriétés dynamiques de milieux architecturés périodiques et de réseaux fibreux aléatoires en petites et grandes déformations, à partie de méthodes d’homogénéisation afin de calculer leurs propriétés statiques et dynamiques. Des modèles effectifs de type micropolaire et du second gradient sont élaborés afin de prendre en compte l’impact de la microstructure sur le comportement effectif. L’influence des degrés de liberté en rotation additionnels et des gradients d’ordre supérieur du déplacement sur les relations de dispersion sont analysés pour des comportements élastique et viscoélastique du matériau constitutif. Les milieux continus généralisés ainsi construits conduisent à des effets dispersifs, en accord avec les observations. Dans la seconde partie du travail, nous analysons l’influence des grandes déformations sur la propagation des ondes élastiques dans des milieux architecturés périodiques. Des méthodes théoriques assortis de schémas numériques sont développés afin de prédire l’influence des déformations finies générées au sein des structures sur l’évolution de leur diagramme de bande. Un schéma incrémental d’évolution de la fréquence et de la vitesse de phase du milieu continu homogénéisé est établi, à partir d’une méthode de perturbation établie pour des structures 1D, 2D et 3D, en considérant plus particulièrement des structures auxétiques. Ce schéma montre un effet important de l’état de déformation appliquée et de la densité effective sur l’évolution de la fréquence et de la vitesse de phase des ondes. Une méthode de perturbation spécifique aux structures périodiques nonlinéaires est développée afin de généraliser le théorème de Bloch pour couvrir les non linéarités tant géométriques que matérielles. Des modèles hyperélastiques du premier et du second gradient de différentes structures sont identifiés par des tests virtuels reposant sur une méthode d’homogénéisation dédiée, qui permettent de formuler des équations d’onde spécifiques – équations de Burgers et de Boussinesq – dont les propriétés dispersives sont analysées / Micropolar and second gradient effective continua are constructed as two different strategies to account for microstructural effects. The influence of additional degrees of freedom or higher order displacement gradients on the dispersion relations is analyzed in both situations of elastic and viscoelastic behaviors of the material. Generalized effective continua lead to dispersive waves, as observed in experiments. In the second part of the thesis, we analyze the influence of large deformations on the propagation of acoustic waves in repetitive network materials. Both theoretical and numerical methods are developed in order to assess the influence of finite strains developing within the networks on the evolution of their band diagrams. An incremental scheme for the update of frequency and phase velocity of the computed homogenized medium is developed based on a perturbation method for 1D, 2D and 3D structures, considering with a special emphasis auxetic networks. This scheme shows an important effect of the applied finite deformation on the frequency and phase velocity of the propagating waves. A perturbation method for nonlinear periodic structures is developed to extend Bloch’s theorem to cover both geometrical and material nonlinearities. Hyperelastic first and second order gradient constitutive models of different network materials are identified based on dedicated homogenization methods, from which specific wave equations are formulated - Burgers and Boussinesq equations - the dispersion properties of which are analyzed

La conception sur-mesure de matériaux architecturés à l'échelle du milli/centimètre est une stratégie pour développer des matériaux de structure plus performants vis-à-vis de cahiers des charges multifonctionels. Ce travail de thèse s'intéresse en particulier à la conception optimale de panneaux architecturés périodiques, dans le but de combiner des exigences mécaniques de flexion et de cisaillement, ainsi que de conductivité thermique. Le comportement élastique peut être prédit grâce à l'identification sur la cellule périodique des coefficients de la matrice des souplesses équivalente. Ces calculs d'homogénéisation ont été mis en oeuvre par éléments finis pour estimer en particulier les souplesses en flexion et en cisaillement transverse. Après validation expérimentale, cette méthode de calcul constitue un outil d'évaluation des performances mécaniques pour chaque géométrie de cellule périodique (2D ou 3D). À titre d'exemple, et dans un contexte de développement de solutions matériaux architecturés pour l'automobile, la conception de tôles "texturées" est proposée en menant une étude paramétrique à l'aide de cet outil. L'implémentation d'un algorithme d'optimisation topologique couplé à la procédure d'homogénéisation permet d'enrichir les méthodes de conception sur-mesure en élargissant l'espace de recherche des "architectures". Après l'étude modèle du compromis entre flexion et cisaillement, le cas industriel d'un panneau sandwich isolant est traité. Dans ce cas, l'optimisation fournit plusieurs compromis prometteurs entre rigidité en cisaillement et isolation thermique. Ces géométries ont été réalisées et testées, et une nouvelle version améliorée du panneau sandwich a été sélectionnée. / The "material by design" strategy consists in tailoring architectured materials in order to fulfill multi-functional specifications. This PhD study focuses more specifically on designing architectured panels in regards with mechanical compliances (bending and transverse shear), as well as thermal conductivity. Recent advances on periodic homogenization of plates are integrated into a finite elements tool that enables to identify the Reissner-Mindlin effective compliance from the unit cell geometry. The comparison with four-point bending tests illustrates a discussion on the shear loading for homogenization, and its contribution to the global bending stiffness. In a context of architectured steel solutions for automotive, a parametric study is treated on "embossed" steel sheets using this homogenization tool. As a try to enlarge the space of available "architectures", a topological optimization algorithm (using the level-set method) is coupled to the homogenization procedure. The influence of each parameters of the method are studied on the optimization problem of compromising flexural and shear compliances. Finally, the industrial case of an insulation sandwich panel is treated. Few optimized geometries, with a high combination of shear stiffness and thermal insulation, are built, produced and tested. An improved design is highlighted and proposed as next version of this product.

In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. Furthermore, it is numerically illustrated that approximate solutions according to the Rothe method exhibit expected realistic behaviour. For a simpler model formulation, the periodic homogenization in higher space dimensions is performed. / <p>Research is funded by the Netherlands Organisation of Scientific Research (NWO) with MPE-grant 657.000.004, and a research stay at Karlstads Universitet is funded by NWO cluster Nonlinear Dynamics in Natural Systems (NDNS+).</p>

Les capacités de résistance de l'argilite Callovo-Oxfordian (COx), qui est une roche hôte potentielle pour le dépôt souterrain profond de déchets radioactifs de haute activité en France, sont étudiées. À une échelle microscopique, des micros pores peuvent être observés dans la matrice. Une première étape d'homogénéisation a été réalisée afin d'évaluer le critère de résistance de la matrice. L'analyse microstructurale de ce matériau à quelques centaines d'échelle, référencée échelle échelle mésoscopique, montre une matrice argileuse et une distribution aléatoire d'inclusions minérales (quartz et calcite).Dans le but de déterminer le domaine de résistance à l'argilite COx, un premier outil numérique a été développé dans le contexte du comportement élastoplastique de la matrice. Plusieurs modèles morphologiques du volume élémentaire représentatif ont été considérés, et soumis à un chargement incrémental dans des conditions périodiques jusqu'à la charge limite. A la suite de ce calcul élastoplastique, un point de la frontière du domaine de résistance est obtenu. Ce dernier est alors obtenu par des calculs élastoplastiques successifs.Une alternative aux simulations élastoplastique directes, des approches cinématiques et statiques du calcul à la rupture sont réalisées. Une méthode du type éléments finis basée sur la construction d'un champ de contrainte (dans l'approche statique) et d'un champ de vitesse (dans l'approche cinématique) est développé dans un outil numérique permettant de calculer une limite inférieure et une limite supérieure de domaine de résistance / The strength capacities of Callovo-Oxfordian (COx) argillite which is a potential host rock for the deep underground repository of high-level radioactive waste in France are investigated. At a micro-scale, micro-pores can be observed in the matrix. A first strength homogenization step has been performed in order to evaluate the matrix strength criteria. The microstructure analysis of this material at some hundreds of micromet scale, referred at meso-scale, shows a clay matrix and a random distribution of mineral inclusions (quartz and calcite).Aiming to the determination of COx argillite strength domain, an FEM numerical tool has been developed in the context of the elastoplastic behavior of the matrix. Several morphological patterns of the representative elementary volume have been considered and subjected to an incremental loading in periodic conditions until collapse occurs. As a result of such elastoplastic calculation, one point of the boundary of the strength domain is obtained. The latter then could be reached by successive elastoplastic calculations.As an alternative to direct elastoplastic simulations, kinematic and static approaches of limit analysis are performed. The stress-based (static approach) and the velocity-based (kinematic approach) finite element method are used to develop a numerical tool able to derive a lower bound and upper bound of strength domain, respectively

O objetivo do presente trabalho foi desenvolver e validar um método analítico empregando microextração em fase sólida (SPME) para detecção e quantificação de isoflurano (ISO) na forma volátil e incluso em nanoemulsões intravenosas e, ainda, avaliar o efeito biológico destas. A detecção do ISO foi realizada através de cromatografia em fase gasosa com detector de ionização de chama (CG/DIC). As condições ideais para realização da pré-concentração e extração de ISO através da técnica de SPME foram temperatura ambiente, agitação constante, 30 min de extração e 2 min de dessorção no injetor do CG. O método desenvolvido foi validado avaliando os parâmetros de especificidade, linearidade, limites de detecção e quantificação, precisão, exatidão e robustez. As nanoemulsões contendo ISO foram desenvolvidas através da homogeneização à alta pressão, e apresentaram diâmetro médio, índice de polidispersão, potencial zeta e pH de 150 ± 0,78 nm, 0,08 ± 0,01, - 18 ± 2,4 mV e 6,03 ± 0,04, respectivamente. O pH foi ajustado para 7,4 (valor fisiológico). O teor de ISO nas formulações foi de 98,4 %. Não houve modificação das características físico-químicas das nanoemulsões após 30 dias de armazenamento a 8 ºC. Análises de espalhamento de luz múltiplo não demonstraram tendência a fenômenos de instabilidade física para as formulações. Os estudos do efeito anestésico das nanoemulsões intravenosas contendo ISO em cães evidenciaram uma redução significativa (p < 0,05) na dose comparada com a administração de ISO volátil. Não houve alterações no débito cardíaco, saturação de oxigênio na hemoglobina e nos biomarcadores das funções renal, hepática e muscular. Uma queda na pressão arterial dos cães foi observada em todos os tratamentos devido ao efeito hipotensor do ISO. Após administração das nanoemulsões contendo ISO e branca, observou-se taquipnéia, edema, eritema, e baixas concentrações de dióxido de carbono expiradas. Assim, a nanoemulsificação do ISO foi realizada com sucesso e a aplicação na anestesia geral intravenosa foi demonstrada. / The aims of this work were to develop and validate an analytical method using solidphase microextraction (SPME) to detect and quantify isoflurane (ISO) inhalation liquid and loaded in intravenous nanoemulsions, and also evaluate the biological effect of the formulations. ISO detection was made by gas chromatography with flame ionization detector (GC/FID). The ideal conditions setting for the pre concentration and extraction of ISO through SPME were environmental temperature, constant stirring, 30 min for extraction and 2 min for analyte desorption in the GC inlet port. The developed method was validated by means of specificity, linearity, detection and quantification limits, precision, accuracy and robustness. The ISOloaded nanoemulsions were formulated by high-pressure homogenization, and presented average diameter, polydispersity index, zeta potential and pH of 150 ± 0.78 nm, 0.08 ± 0.01, -18 ± 2.4 mV and 6.03 ± 0.04, respectively. The pH was adjusted to 7.4 (physiological value). The drug content on the formulations was 98.4 %. After 30 days of storage at 8 ºC no changes on nanoemulsion’s physicalchemical characteristics were observed. Multiple light scattering analysis did not demonstrate any physical destabilization phenomena for the formulations. The anesthetic effect study for the intravenous ISO-loaded nanoemulsions in dogs highlighted a significant reduction (p < 0.05) in dosage regimen when compared to the volatile ISO administration. There were no alterations on cardiac rate, oxygen hemoglobin saturation and on biomarkers of the renal, hepatic and muscle functionalities. A decrease in dog’s arterial blood pressure in all treatments due the hypotensive effect caused by ISO was observed. After the administration of the nanomulsions, ISO-loaded and unloaded, occurred tachypnea, edema, erythema and low end tidal concentrations of carbon dioxide. Taking all above into account, the method was considered easy on execution and suitable for laboratory routines, the ISO nanoemulsification was made successfully and its application on general anesthesia was demonstrated.

Em virtude da necessidade de novas obras de infraestruturas, por muitas vezes, em locais onde o solo não atendia às necessidades básicas exigidas por elas, originam-se problemas de ordem geotécnica, os quais foram resolvidos por meio de misturas solo-cimento. O presente trabalho teve como objetivo o estudo de propriedades mecânicas e elásticas de misturas de areia e cimento, sendo este dividido em duas abordagens: experimental e micromecânica. Para a execução da abordagem experimental, além da execução de ensaios de resistência a compressão simples e medidas de parâmetros de rigidez ao longo do tempo, foi desenvolvido um minicone e também uma câmara triaxial de grandes proporções com os quais foram executados ensaios. A abordagem micromecânica foi realizada através da aplicação da teoria da homogeneização. Para avaliar as propriedades elásticas do compósito foram utilizados os modelos Mori-Tanaka e Auto-Consistente, enquanto que a obtenção da resistência homogeneizada foi baseada na teoria do estado limite. Os ensaios experimentais demostraram que os módulos medidos e a resistência à compressão simples possuem comportamentos semelhantes em relação ao aumento de sua magnitude. Os ensaios de prospecção do minicone demostraram que a tensão de confinamento influencia até corpos de prova cimentados. Ainda foram observadas relações entre o módulo de cisalhamento, a resistência à compressão simples e a resistência média de ponta. Os resultados obtidos através da abordagem micromecânica, quando confrontados com os resultados experimentais, apresentaram diferenças irrelevantes tanto para a resistência quanto para os módulos. Baseados nos resultados obtidos através desse trabalho concluiu-se que o comportamento das misturas areias-cimento é regido pelo índice oriundo da razão entre a porosidade e a quantidade volumétrica de cimento. Também foi comprovado o potencial da micromecânica como ferramenta de modelagem de misturas areia-cimento. / The necessity of new infrastructure earthworks in areas where the soil does not present the required mechanical properties originates problems of geotechnical order. These problems can be solved through the improvement of mechanical characteristics of the materials by reducing porosity through compaction, as well as the addition of cementitious materials such as Portland cement. This research aimed to evaluate the mechanical properties of sand-cement mixtures through two approaches: experimental and micromechanics. In the experimental approach were carried out unconfined compression tests and bender elements measurements over time in sand-cement specimens varying the porosity and the cement content. Furthermore, a mini-cone (MCPT) and a triaxial chamber of large proportions were developed, in which MCPT tests have been carried out under distinct confining pressures and distinctive sand-cement mixtures. In these tests, the variation of porosity and cement content was evaluated. The experimental results were analyzed from the perspective of the recently developed porosity-cement index. The results have shown that the porosity-cement index controls the mechanical properties of sand-cement mixtures from very small strains to failure. The micromechanical approach was performed by the theory of homogenization. To evaluate the elastic properties of the sand-cement composite, the Mori-Tanaka and self-consistent models were used, while the homogenized shear strength was obtained based on the limit state theory. The results obtained by the micromechanical approach, when compared with the experimental results, showed irrelevant differences to both strength and stiffness.

Estudos in vitro de absorção percutânea são uma importante ferramenta para avaliação de formulações semissólidas e transdérmicas. Embora haja um grande número de agências reguladoras preocupadas com a harmonização metodológica, em muitos parâmetros elas permanecem flexíveis e isto é possível verificar na ampla variedade e divergências encontradas na literatura. O objetivo do trabalho foi avaliar parâmetros ainda flexíveis a respeito dos estudos in vitro como modo de separação das camadas da pele, permeabilidade da pele congelada (tempo de armazenamento) e diferença de permeabilidade dos locais anatômicos. Os estudos foram conduzidos utilizando células de Franz, pele suína como membrana e formulações (comercializada e inovadora) contendo penciclovir. Inicialmente, nanoemulsões foram preparadas utilizando técnica de homogeneização a alta pressão, caracterizadas, incorporadas em gel de carbômero 940 e avaliadas quanto à liberação tópica em pele suína. Simultaneamente ao desenvolvimento da formulação foi desenvolvido e validado método analítico para quantificação do fármaco nas formulações e nas camadas da pele suína. As nanoemulsões apresentaram-se monodispersas com diâmetro de gotícula em torno de 180-200 nm, potencial zeta de -27 mV e teor de penciclovir de 98% mantendo sua estrutura após a incorporação em carbômero 940. A metodologia analítica demonstrou ter alta sensibilidade (LoQ 0,05 μg/mL), especificidade e uma adequada recuperação do fármaco a partir das matrizes biológicas (90 – 104%). Quanto aos estudos in vitro de comparação de metodologias, foi possível observar que, dependendo da solubilidade do fármaco em água e das características da formulação, o método clássico de separação das camadas da pele por imersão em água não é o mais indicado. Já para permeabilidade da pele suína congelada, os resultados obtidos indicam um aumento significativo na penetrabilidade e permeabilidade após um mês de congelamento. Dentre os locais anatômicos testados, não houve diferença entre abdômen e orelha suína desde que obtidos antes do procedimento de escaldo. / In vitro percutaneous absorption studies are an important tool for evaluation of semisolid and transdermal formulations. Although there are a large number of official guides concerned with methodological harmonization in many parameters they remain flexible and it is possible to see the wide variety and differences reported in the literature. The aim of study was to evaluate some parameters regarding the in vitro studies as the mode of skin layers separation, skin frozen stability and permeability difference of anatomical sites. These studies were conducted with porcine skin and formulations (conventional and novel) using penciclovir as model drug. Initially, nanoemulsions were prepared using high pressure homogenization, characterized and incorporated into carbomer 940 gel and evaluated for topical delivery using porcine skin. Simultaneously with the development of the formulation, analytical method for quantification of the drug in the formulations and porcine skin layers was developed and validated. The nanoemulsions presented themselves monodisperse with droplet diameter of 180-200 nm, zeta potential of about -27 mV and penciclovir content of 98% maintaining their structure after incorporation into carbomer 940. The analytical methodology was shown to have high sensitivity (LOQ 0.05 μg/mL), specificity and adequate recovery of drug from the biological matrices (90-104%). Regarding the in vitro comparison methodologies, it was observed that, depending on the solubility of the drug in water and the characteristics of the formulation, the classical separation is not the most suitable for separation of the skin layers. For the stability of frozen porcine skin, the results indicate a significant increase in permeability and penetrability after one month of freezing. Within the anatomical sites tested, there was no difference between the abdomen and ear porcine skin since obtained before the scald procedure.