Dans les alliages multiphasés, la cohérence des interfaces entre des phases en désaccord paramétrique génère des champs élastiques internes à longue distance et généralement anisotropes. L'interaction de ces champs affecte fortement la cinétique des transformations de phase diffusives, et influence la forme et l'arrangement spatial des précipités. Dans la microstructure des superalliages monocristallins à base de nickel, obtenue par précipitation de la phase γ’ ordonnée L12 dans la matrice CFC γ, l'élasticité conduit à la formation d'alignements quasi-périodiques des précipités γ’ cuboïdaux. La microstructure γ/ γ’ possède cependant des défauts systématiques d'alignement des précipités: des branches, des macro-dislocations et des motifs en chevrons. Nous nous intéressons à l'origine de ces défauts d'alignement. Nous conduisons des analyses de stabilité de l'arrangement périodique de précipités en interactions élastiques. Contrairement à la stabilité attendue, les calculs semi-analytiques ont révélé l'instabilité de la distribution périodique de précipités γ’ cubiques, vis-à-vis de certains modes de perturbation. Les principales instabilités sont le mode longitudinal [100] et le mode transverse [110], et leur domaine d'instabilité est analysé vis-à-vis de l'anisotropie élastique. Le développement de ces modes instables est étudié par une méthode de champ de phase classique, en simulant l'évolution de microstructures périodiques soumises à des légères perturbations initiales. Nous montrons que l'expression des instabilités d'arrangement procède essentiellement par l'évolution de la forme des précipités, et conduit à la formation de motifs qui ont pu être reliés à des microstructures expérimentales. En particulier, le mode transverse [110] conduit à la formation de motifs en chevrons. Nous étudions l'influence du taux de phase γ’ et de l'inhomogénéité du module élastique C’, et nous montrons le rôle qu'ils jouent dans la stabilisation de l'arrangement périodique. Dans des simulations réalisées dans des études antérieures, la dynamique des défauts est analysée au moyen de paramètres topologiques issus de la phénoménologie des structures hors-équilibre. Au cours d'un recuit isotherme, nous observons que les branches et les macro-dislocations migrent dans la microstructure selon des mécanismes de montée et de glissement. Nous utilisons ensuite une nouvelle formulation des modèles de champ de phase, intrinsèquement discrète, dans laquelle les interfaces sont résolues essentiellement avec un pas de grille sans friction de réseau et avec une invariance par rotation précise. Cette approche, appelée Sharp Phase Field Method (S-PFM), est implémentée sur une grille CFC, et avec une description des quatre variants de translation des précipités γ’. Nous montrons que la S-PFM permet la modélisation de microstructures à grande échelle, avec plusieurs milliers de précipités à deux et trois dimensions, et donne ainsi accès à des informations statistiques sur l'évolution de la microstructure et sur la dynamique des défauts d'alignement. Nous discutons finalement la perspective de modéliser l'évolution de la microstructure γ/γ’ à une échelle supérieure par une description de la dynamique des défauts d'alignement des précipités. / In multiphase alloys, internal elastic fields often arise as a result of a coherently adjusted misfit between the lattices of coexisting phases. Given their long-range and usually anisotropic nature, the interaction of these fields is known to significantly alter the kinetics of diffusion-controlled phase transformations, as well as influence the shapes and spatial arrangement of the misfitting precipitates. In the microstructure of single-crystal nickel-base superalloys, obtained by precipitation of the L12-ordered γ’ phase in the FCC γ matrix, elasticity leads to the formation of nearly periodic alignments of the cuboidal γ’ precipitates. However, the γ/γ’ microstructure systematically displays defects in the precipitate alignment: branches, macro-dislocations and chevron patterns. We first address the question of the origin of these alignment defects. Stability analyses of the periodic arrangement of elastically interacting precipitates are carried out. Contrary to the expected stability, the semi-analytical calculations revealed the periodic distribution of cubic γ‘ precipitates to be unstable against specific perturbation modes. The main instabilities are the [100] longitudinal mode and the [110] transverse mode, and their instability range is analyzed with respect to the elastic anisotropy. The consequences of these unstable modes are investigated using a classic phase field method, by modeling the evolution of periodic microstructures undergoing small initial perturbations. We show the expression of the instabilities mainly proceeds by the evolution of the precipitate shapes, and leads to the formation of patterns which were related to experimental microstructures. Specifically, the [110] transverse instability is responsible for the formation of chevron patterns. The effects of the volume fraction and of an inhomogeneity on the C’ shear modulus on the stability of the arrangement are studied, and we show the role they play in the partial stabilization of the periodic distribution, though the [100] longitudinal mode always remains unstable. In phase field calculations carried out in previous studies, the dynamics of alignment defects are analyzed by means of topological parameters derived from pattern formation theory. During annealing, branches and macro-dislocations were observed to migrate in the microstructure according to climbing and gliding mechanisms. We then use a new formulation of phase field models, intrinsically discrete, in which the interfaces are resolved with essentially one grid point with no pinning on the grid and an accurate rotational invariance. This approach, known as the Sharp Phase Field Method (S-PFM), is implemented on a FCC grid and accounts for the four translational variants of the γ’ precipitates. We show that the S-PFM allows for the modeling of large-scale microstructures, with several thousand precipitates both in two and three dimensions, and provides access to statistical information on the microstructure evolution and on the the dynamics of alignment defects. We finally discuss the perspective of modeling the evolution of the γ/γ’ microstructure at the macroscale by means of a description of the defect dynamics in the precipitate alignments.

Lorsque deux objets sont mis en contact, on réalise une expérience d’adhésion si on les sépare et une expérience de friction si on les fait glisser l’un sur l’autre. Lors de ces expériences, on mesure les forces d’adhésion et de friction contrôlées par un paramètre fondamental qui est l’aire réelle de contact. Cette aire réelle dépend fortement de la rugosité des surfaces. Afin de mieux comprendre le rôle de la rugosité, des expériences d’adhésion et de friction ont été réalisées entre des sphères d’élastomère en PDMS et des surfaces texturées (dures ou molles) constituées d’une rugosité modélisée par un réseau hexagonal de plots cylindriques de hauteurs, diamètres et espacements micrométriques.Dans les expériences d’adhésion, un dispositif de type JKR (pour Johnson, Kendall et Roberts) a été utilisé permettant d’observer le contact entre une sphère élastique et un plan texturé tout en contrôlant la force entre les surfaces. À faible force d’appui, la sphère reste au sommet des plots et le contact est dit « posé ». Lorsque la force entre les surfaces augmente, un contact total, où les plots sont écrasés (« contact intime »), apparaît au centre du contact, entourée d’une couronne de contact « posé ». Un modèle d’évolution du contact intime a été réalisé en prenant en compte l’adhésion entre les plots et les caractéristiques mécaniques des surfaces. De plus, en utilisant une analyse similaire à l’analyse classique de type JKR, il a été possible de mesurer les énergies d’adhésion effectives entre les surfaces. L’étude de l’évolution de ces énergies d’adhésion en fonction de la densité surfacique de plots sous le contact sphère-plan s’est révélée complexe. Finalement, des mesures de la force d’arrachement ont été réalisées, confirmant le rôle très important de la nature du contact sur l’évolution des énergies d’adhésion effective.Pour les expériences de friction, un tribomètre développé au laboratoire a été utilisé pour mesurer la force de friction dynamique. Durant ces expériences, les deux types de contact précédemment cités ont également été observés. Dans le cas où le contact reste « posé », il est naturel d’introduire une contrainte de friction égale à la force de friction divisée par l’aire réelle de contact. Il a été montré que cette contrainte de friction augmente sur des surfaces texturées (par rapport au cas lisse) et que cette augmentation dépend de façon complexe de la géométrie des plots utilisés. De plus, il a été montré que pour des petits rayons de courbure des sphères frottantes, la contrainte de friction n’est plus indépendante de l’aire réelle de contact. Finalement, nous avons montré que la contrainte de friction dans la zone de contact intime est la même que pour des surfaces lisses.Ce travail ouvre la voie à des développements théoriques et numériques nouveaux sur l’analyse du champ de contraintes et de déformations pour des contacts texturés modèles. / When two objects are in contact, an adhesion experiment is carried out if they are separated and a friction experience if one object slides on the other. A fundamental parameter which controls the adhesion and friction forces is the real area of contact between the surfaces which is largely determined by the surface roughness. To better understand the role of roughness, adhesion and friction experiments were performed with spheres of PDMS elastomer and textured surfaces (hard or soft). The latter’s roughness is modeled by an hexagonal network of cylindrical pillars with micrometrical dimensions and spacing.In adhesion experiments, a JKR set up (for Johnson, Kendall and Roberts) was used to observe the contact between an elastic sphere and a textured surface while controlling the force between the surfaces. At low normal force, the sphere remains at the top of the pillars and the contact is called "top". When the force between the surfaces increases, a full area of contact, where pillars are collapsed ("intimate contact"), appears in the center contact, surrounded by a crown of "top" contact. A model of evolution of this intimate contact which takes into account the adhesion between the pillars and the mechanical properties of surfaces has been achieved. Furthermore, it was possible to measure effective energies of adhesion between the surfaces using a similar analysis to the classical JKR analysis. Studying the evolution of these adhesion energies as a function of the pillars’ surface density below the sphere-plan contact proved to be a challenging task. At last, measurements of the pull off force were realised, corroborating the important role of the nature of contact on the evolution of effectif energies of adhesion.For friction experiments, a tribometer developed in the laboratory was used to measure the dynamic frictional force. During these experiments, the two kinds of contact previously reported were observed. When the contact remains "top", it is natural to introduce a friction stress equal to the friction force divided by the real area of contact. It has been shown that friction stress increases on textured surfaces (relative to the smooth case) and that this increase depends in a complex manner on the geometry of the pillars. Moreover, it has been shown that for small curvature radii of the friction spheres, the friction stress is no longer independent of the real area of contact. Finally, we have shown that the friction stress in the zone of intimate contact is the same as on smooth surfaces.The experimental results obtained in this thesis will serve to validate future numerical models.

Kravmärkningen existerar för att främja ekologisk framtagning av livsmedel, märkningen har existerat länge och vuxit till att bli ett välkänt varumärke. Hur väl märkningen fungerar för att påverka konsumtionen är något som är värt att studera närmare. Kravmärkta varor är generellt dyrare att producera och får därmed ett dyrare pris på marknaden. Därför krävs det att konsumenter har en vilja att betala för detta. Syftet med denna uppsats är att undersöka huruvida denna betalningsvilja faktiskt existerar hos studenter. Vi har inkluderat teorier för inkomstelasticitet, priselasticitet, externa effekter och nudging. Tillsammans med tidigare forskning har det diskuterats kring faktorer som påverkar studenters betalningsvilja. En enkätundersökning har även genomförts för att granska studenters kunskaper om Kravmärkningen samt testa deras betalningsvilja för specifikt utvalda konventionella respektive Kravmärkta livsmedel. Utöver enkätundersökningen har information samlats in genom en mailkorrespondens med butikschefen på Maxi ICA Stormarknad Linköping för att få mer kunskap kring eventuella strategier livsmedelsbutiken använder sig av. Studien visar att studenterna generellt är väl informerade om existensen av Krav som miljömärke, dock är kunskaperna låga rörande Krav:s arbete och syfte. Vi har observerat att det generellt är färre individer som väljer Kravmärkt framför konventionellt, resultatet skiljer sig dock för olika livsmedel. Faktorn inkomst har vi observerat flera samband gällande, då de högre inkomstintervallen verkar vara synonymt med den högsta angivna betalningsviljan för Bregott. För äggen däremot syns inget tydligt samband mellan högre inkomstintervall och högre betalningsvilja. Ytterligare en faktor som har stor påverkan på betalningsviljan är pris, då större prisskillnader mellan konventionellt och Kravmärkt resulterat i att fler väljer det konventionella alternativet. Individuella preferenser som visat att konsumenten väljer att prioritera miljömärkningar visar att en viss kännedom existerar, men skillnad mellan kännedom och faktiskt agerande föreligger. Vilket även tidigare forskning styrker. Preferenser styr inte konsumtionen i samtliga fall, utan pris verkar vara största influerade faktorn. Detta kan grunda sig i omständigheterna, som bland annat i denna studie skulle kunna vara att urvalspopulationen består av studenter. / The ecolabel Krav exists to promote organic food production. The label has existed for a long time and has grown to be a well-recognized brand. How well the label works to influence consumption is something worth investigate more closely. Since the ecolabeled food are generally more expensive to produce, and thus get a higher market price, consumers must have a desire to pay the higher price. The purpose of this thesis is to examine whether the willingness to pay actually exists among students. The included theories are income elasticity, price elasticity, external effects and nudging. These together with previous research have discussed the factors concerning consumers behavior. A survey has also been conducted to examine students knowledge concerning the ecolabel Krav, and to test their willingness to pay for selected conventional and Krav labelled groceries. In addition to the survey, information has been collected through an email correspondence with the store manager at Maxi ICA Stormarknad Linköping to get information about possible strategies the grocery store use. The study shows that consumers are well informed about the existence of Krav as an ecolabel, but the knowledge is poor regarding the work Krav is performing and the purpose of it. We have generally observed that there are fewer individuals choosing the ecolabel Krav over conventional, the result differs between groceries. We have observed several connections regarding the factor income, the higher income ranges seem to be a synonym with the highest willingness to pay for Bregott. For the eggs, we cannot see any clear connection between the higher income ranges and the higher willingness to pay. Another factor that has high impact on the willingness to pay is the price, when a bigger price difference between conventional and Krav groceries exist, this results in a connection that more individuals chose the conventional option. Individual preferences of ecolabels show that a certain awareness exist, but that there is a difference in awareness and action. Which previous research strengthens. Preferences does not determine consumption in all cases, instead price seems to be the deciding factor. This can be based on the selected population which are students.

Les inégalités de revenus et la polarisation de l'emploi ont augmenté dans plusieurs pays au cours des dernières décennies, suscitant des préoccupations d'équité ainsi que des interrogations concernant les politiques de redistribution. Cette thèse répond à deux questions primordiales. La première concerne le rôle des heures travaillées et de leur dispersion pour expliquer les inégalités de revenu; la seconde porte sur le rôle de l'offre de travail des femmes dans l'explication de la polarisation de l'emploi. Le premier chapitre utilise des données pour les États-Unis, le Royaume-Uni, l'Allemagne et la France et examine comment les inégalités de revenu sont affectées par la dispersion des heures de travail. Le principal enseignement de cette approche est que la dispersion des heures de travail peut expliquer plus d'un tiers des inégalités de revenu dans certains pays et que la corrélation entre le salaire horaire et les heures travaillées s'est accrue au fil du temps. Le second chapitre s'appuie sur les résultats du précédent et explore les mécanismes qui expliquent la tendance à la hausse de la corrélation entre salaires et heures travaillées. Nous constatons qu'une plus grande volatilité de la production agrégée et une réglementation plus stricte du marché du travail ont tendance à réduire l'élasticité, alors qu'une augmentation du commerce dans un secteur les augmente. Enfin, le troisième chapitre met l'accent sur le rôle des femmes hautement qualifiées dans l'évolution du marché des substituts de la production domestique et montre que, lorsque les femmes hautement qualifiées travaillent plus d'heures, les femmes moins qualifiées sont plus susceptibles d'être employées. / Earnings inequality and job polarization have increased in a number of countries during the last decades, raising concerns of fairness and fostering debates on the implications for redistributive policies. This thesis asks two main questions. The first concerns the relevance of hours worked and their dispersion for earnings inequality, while the second question investigates the role of female labour supply in explaining the increase in job polarization. The first chapter uses data for the USA, the UK, Germany, and France and examines how earnings inequality is affected by the dispersion of working hours. The main result of this exercise is that hours dispersion can account for over a third of earnings inequality in some countries and that the relevance of the correlation between wages and working hours has been growing over time. The second chapter builds on the results of the previous one and explores the forces behind the upward trend of the correlation between wages and working hours. We find that greater aggregate output volatility and stricter labour market regulation tend to reduce the elasticity, while a greater trade share in an industry raises it. Finally, the third chapter investigates the relevance of female employment for job polarization in Germany. The analysis focuses on the role of high-skilled females in the evolution of a market for home production substitutes and finds that when top-employed females work more hours, low-skilled women are more likely to be employed.

Um filme polimérico utilizado na fabricação de curativos adesivos não perfurados deve ter baixo módulo de elasticidade e boa permeabilidade ao vapor d\' água. O baixo módulo de elasticidade garante sensação de maior conforto do produto em contato com a pele quando a pessoa que o está utilizando movimenta a parte do corpo sobre a qual está aplicado o curativo, principalmente a região das articulações, como joelhos e cotovelos. A importância de uma boa permeabilidade ao vapor d\' água está relacionada, principalmente em curativos não perfurados, ao fato de que a pele perde água constantemente e, se o filme polimérico não permitir a saída dessa água ao meio ambiente, ocorrerá um fenômeno denominado maceração, que é a sensibilização excessiva da pele, causada pela hiper hidratação da mesma. O presente trabalho apresenta um estudo da permeabilidade ao vapor d\' água, bem como a caracterização vibracional e térmica de um filme polimérico constituído por três polímeros diferentes, desenvolvido para substituir a poliuretana utilizada atualmente na produção de curativos adesivos não perfurados, com custo inferior. Os polímeros que constituem o filme foram caracterizados separadamente e alguns resultados obtidos, como Tm e a estrutura química dos polímeros Lotader® e Lotryl® foram comparados aos dados fornecidos pelo fabricante. Verificou-se que as propriedades de módulo de elasticidade e permeabilidade ao vapor d\' água do filme desenvolvido são inferiores às da poliuretana inviabilizando a substituição. Entretanto, o trabalho proporcionou um melhor entendimento dos fatores que influenciam o módulo de elasticidade e a permeabilidade do novo material ao vapor d\' água. / A polymeric film must have low elasticity modulus and good water vapor permeation to be used in the production of non perforated adhesive tapes. Low modulus is desirable to provide comfort sensation as the consumer moves the part of his or her body in which the tape is applied on, mainly in the articulations regions, as elbows and knees. The importance of good water vapor permeation is related, mainly in the case of non perforated adhesive tapes with the continuous loss of water by the skin. If the film does not allow the release of the water continuously lost by the skin to the environment, the skin will become very sensitiveness as a result of over hydration. This work presents a study of water permeability and a thermal and vibrational characterization of a polymeric film composed of three different polymers developed to replace the adhesive not perforated polyurethane tape providing lower cost. Besides characterization a test of Water Vapor Transmission Rate (WVTR) was performed. Each polymer present in the film composition was analyzed and the results as Tm and chemical structure of Lotader® e Lotryl® were compared with the producer data. It was verified that the properties of elasticity modulus and water vapor permeability of the new material developed are worse than polyurethane so the substitution can not be performed. However, the work provided a better understanding of the factors that influences the elasticity modulus and water vapor permeability of the new material.

Estuda-se o problema de equilíbrio sem força de corpo de uma esfera anisotrópica sob compressão radial uniformemente distribuída sobre o seu contorno no contexto da teoria da elasticidade linear clássica. A solução deste problema prediz o fenômeno inaceitável da auto-intersecção em uma região próxima ao centro da esfera para uma dada faixa de parâmetros materiais. Sob o contexto de uma teoria de minimização do funcional de energia potencial total da elasticidade linear clássica com a restrição de que o determinante do gradiente da função mudança de configuração seja injetivo, este fenômeno é eliminado. Aplicam-se duas formulações do Método dos Elementos Finitos de Galerkin Descontínuo (MEFGD) para obter soluções aproximadas para o problema de equilíbrio da esfera sem restrição. A primeira formulação do MEFGD aproxima diretamente os campos de deslocamento e deformação infinitesimal. A consideração do campo adicional de deformação na formulação do MEFGD aumenta o número de graus de liberdade associados aos nós da malha de elementos finitos e, consequentemente, o custo computacional. Com o objetivo de reduzir o número de graus de liberdade, introduz-se neste trabalho uma formulação alternativa do MEFGD. Nesta formulação, o campo de deformação infinitesimal não é obtido diretamente da inversão do sistema de equações resultante, mas sim por pós-processamento, a partir do campo de deslocamento aproximado. As soluções aproximadas obtidas com ambas as formulações do MEFGD são comparadas com a solução exata do problema sem restrição e com soluções aproximadas obtidas com o Método dos Elementos Finitos de Galerkin Clássico (MEFGC). Ambas as formulações do MEFGD fornecem melhores aproximações para a solução exata do que as aproximações obtidas com o MEFGC. Os erros entre a solução exata e as soluções aproximadas obtidas com a formulação alternativa do MEFGD são um pouco maiores do que os erros correspondentes obtidos com a formulação original do MEFGD. Este aumento nos erros é compensado pelo menor esforço computacional exigido pela formulação alternativa. Este trabalho serve de base para o estudo de problemas com restrição de injetividade utilizando o método de Galerkin descontínuo. / The equilibrium problem without body force of an anisotropic sphere under radial compression that is uniformly distributed on the sphere\'s boundary is investigated in the context of the classical linear elasticity theory. The solution of this problem predicts the unacceptable phenomenon of self-intersection in a vicinity of the center of the sphere for a given range of material parameters. This phenomenon can be eliminated in the context of a theory that minimizes the total potential energy of classical linear elasticity subjected to the restriction that the deformation field be injective. Two formulations of the Finite Element Method using Discontinuous Galerkin (MEFGD) are used to obtain approximate solutions for the unconstrained problem. The first formulation of the MEFGD approximates both the displacement and the strain fields. The consideration of the strain as an additional field in the formulation of the MEFGD increases the number of degrees of freedom associated to the finite elements and, therefore, the computational cost. With the objective of reducing the number of degrees of freedom, an alternative formulation of the MEFGD is introduced in this work. In this formulation, the strain field is not obtained directly from the inversion of the resulting linear system of equations, but from a post-processing calculation using the approximate displacement field. The approximate solutions obtained with both formulations of the MEFGD are compared with the exact solution of the problem without restriction and with approximate solutions obtained with the Finite Element Method using Classical Galerkin (MEFGC). Both formulations of the MEFGD yield better approximations for the exact solution than the approximations obtained with the MEFGC. The errors between the exact solution and the approximate solutions obtained with the alternative formulation of the MEFGD are slightly higher than the corresponding errors obtained with the original formulation of the MEFGD. These errors are compensated by the fact that the alternative formulation requires less computational effort than the computational effort required by the original formulation. This work serves as a basis for the study of problems with the injectivity restriction using the discontinuous Galerkin method.

O estudo da resistência à compressão e da deformabilidade de paredes de alvenaria de blocos de concreto é de fundamental importância para a caracterização desse material e o desenvolvimento de análises de estruturas compostas por esse tipo de painel. Este trabalho trata desse tema, objetivando prever com maior acuidade os principais parâmetros de deformação e de resistência de paredes de alvenaria de blocos de concreto, a saber: resistência à compressão e módulo de elasticidade longitudinal nas direções paralela e perpendicular à junta de assentamento. Foi desenvolvido um trabalho experimental para estimar a influência da resistência dos blocos, da resistência da argamassa e da direção de aplicação de forças no comportamento mecânico da alvenaria de blocos de concreto não-grauteada, quando submetida a esforços de compressão. Para tanto, realizaram-se ensaios de laboratório em blocos, argamassas, prismas de três blocos e paredinhas com dimensões de 80 cm x 80 cm. Por inferência estatística não foram obtidas correlações aceitáveis entre as variáveis estudadas. Porém, obtiveram-se tendências de comportamento dos corpos de prova estudados, confirmando a influência das características da argamassa e do bloco no comportamento estrutural da alvenaria quando submetida a esforços de compressão / The study of strength and the curved stress/strain relationship of blockwork masonry walls is basic for the material characterization and the development of structural analysis of blockwork walls. This work deals with that subject, aiming at the evaluation of the main elastic parameters and the strength of concrete blockwork walls: the compressive strength and modulus of elasticity for masonry in two orthogonal directions, parallel and perpendicular to bed joints. An experimental program was developed to evaluate the influence of the strength of blocks and mortar, and the load application direction on the mechanical behavior of ungrouted concrete block masonry under compression. A series of laboratory tests was carried out with blocks, mortar, prisms of three blocks and wallets (80 cm x 80 cm). It was impossible to obtain acceptable correlations of the defined variables, using statistical inference. However, tendencies of the specimens behavior were obtained, confirming the influence of mortar and block properties on the structural behavior of concrete blockwork walls under compression

The peridynamic theory is a generalization of classical continuum mechanics and takes into account the interaction between material points separated by a finite distance within a peridynamic horizon δ. The parameter δ corresponds to a length scale and is treated as a material property related to the microstructure of the body. Since the balance of linear momentum is written in terms of an integral equation that remains valid in the presence of discontinuities, the peridynamic theory is suitable for studying the material behavior in regions with singularities. The first part of this work concerns the evaluation of the properties of a linear elastic peridynamic material in the context of a three-dimensional state-based peridynamic theory, which uses the difference displacement quotient field in the neighborhood of a material point and considers both length and relative angle changes. This material model is based upon a free energy function that contains four material constants, being, therefore, different from other peridynamic models found in the literature, which contain only two material constants. Using convergence results of the peridynamic theory to the classical linear elasticity theory in the limit of small horizons and a correspondence argument between the free energy function and the strain energy density function from the classical theory, expressions were obtained previously relating three peridynamic constants to the classical elastic constants of an isotropic linear elastic material. To calculate the fourth peridynamic material constant, which couples both bond length and relative angle changes, the correspondence argument is used once again together with the strain field of a linearly elastic beam subjected to pure bending. The expression for the fourth constant is obtained in terms of the Poisson\'s ratio and the shear elastic modulus of the classical theory. The validity of this expression is confirmed through the consideration of other experiments in mechanics, such as bending of a beam by terminal loads and anti-plane shear of a circular cylinder. In particular, numerical results indicate that the expressions for the constants are independent of the experiment chosen. The second part of this work concerns an investigation of the behavior of a one-dimensional linearly elastic bar of length L in the context of the peridynamic theory; especially, near the ends of the bar, where it is expected that the behavior of the peridynamic bar may be very different from the behavior of a classical linear elastic bar. The bar is in equilibrium without body force, is fixed at one end, and is subjected to an imposed displacement at the other end. The bar has micromodulus C, which is related to the Young\'s modulus E in the classical theory through different expressions found in the literature. Depending on the expression for C, the displacement field may be singular near the ends, which is in contrast to the linear behavior of the displacement field observed in classical linear elasticity. In spite of the above, it is also shown that the peridynamic displacement field converges to its classical counterpart as the peridynamic horizon tends to zero. / A teoria peridinâmica é uma generalização da teoria clássica da mecânica do contínuo e considera a interação de pontos materiais devido a forças que agem a uma distância finita entre si, além da qual considera-se nula a força de interação. Por ter o balanço de momento linear formulado como uma equação integral que permanece válida na presença de descontinuidades, a teoria peridinâmica é adequada para o estudo do comportamento de materiais em regiões com singularidades. A primeira parte deste trabalho consiste no cálculo das propriedades de um material peridinâmico elástico linear no contexto de uma teoria peridinâmica de estado, linearmente elástica e tridimensional, que utiliza o campo quociente de deslocamento relativo na vizinhança de um ponto material e leva em conta mudanças relativas angulares e de comprimento. Esse modelo utiliza uma função energia livre que apresenta quatro constantes materiais, sendo, portanto, diferente de outros modelos peridinâmicos investigados na literatura, os quais contêm somente duas constantes materiais. Utilizando resultados de convergência da teoria peridinâmica para a teoria de elasticidade linear clássica no limite de pequenos horizontes e um argumento de correspondência entre as funções energia livre proposta e densidade de energia de deformação da teoria clássica, expressões para três constantes peridinâmicas foram obtidas em função das constantes de um material elástico e isotrópico da teoria clássica. O argumento de correspondêmcia, em conjunto com o campo de deformações de uma viga submetida à flexão pura, é utilizado para calcular a quarta constante peridinâmica do material, que relaciona mudanças angulares relativas e de comprimentos das ligações entre as partículas. Obtem-se uma expressão para a quarta constante em termos do coeficiente de Poisson e do módulo de elasticidade ao cisalhamento da teoria clássica. A validade dessa expressão é confirmada por meio da consideração de outros experimentos da mecânica, tais como flexão de um viga por cargas terminais e cisalhamento anti-plano de um eixo cilíndrico. Em particular, os resultados numéricos indicam que as expressões para as constantes são independentes do experimento escolhido. A segunda parte deste trabalho consiste em uma investigação do comportamento de uma barra unidimensional linearmente elástica de comprimento L no contexto da teoria peridinâmica; especialmente, próximo às extremidades da barra, onde espera-se que o comportamento da barra peridinâmica possa ser muito diferente do comportamento de uma barra elástica linear clássica. A barra está em equilíbrio e sem força de corpo, fixa em uma extremidade, e sujeita a deslocamento imposto na outra extremidade. A barra possui micromódulo C, o qual está relacionado ao módulo de Young E da teoria clássica por meio de diferentes expressões encontradas na literatura. Dependendo da expressão para C, o campo de deslocamento pode ser singular próximo às extremidades, o que contrasta com o comportamento linear do campo de deslocamento observado na elasticidade linear clássica. Apesar disso, é mostrado também que o campo de deslocamento peridinâmico converge para o campo de deslocamento da teoria clássica quando o horizonte peridinâmico tende a zero.

Doenças coronárias causam a morte de milhões de pessoas anualmente. Uma dessas disfunções é a aterosclerose coronariana, acúmulo de placas lipídicas, fibrosas, e calcificadas na parede das coronárias. Esse acúmulo pode causar tromboses, infarto do miocárdio, ou morte cardíaca súbita. Porém, essas lesões apresentam graus distintos de periculosidade e elasticidade. As predominantemente lipídicas são de alto risco e elasticidade, enquanto as calcificadas e as fibrosas são mais estáveis e menos elásticas. O Ultrassom Intravascular (IVUS) é uma das modalidades de referência em diagnósticos e acompanhamento de doenças coronárias. Contudo, a imagem de IVUS pura fornece apenas informações subjetivas sobre vasos e placas; assim, é importante a criação de métodos e técnicas que possam tornar objetiva a análise dessa informação. Devido a isso, e levando em conta a riqueza de informações espaciais e temporais presentes nas imagens de IVUS, esse trabalho apresenta métodos de segmentação, e extração de características de lesões, que possibilitam a quantização de informações espaciais, e a discriminação de placas de baixo e elevado-risco. Consequentemente, fornecendo subsídios para diagnósticos, e procedimentos terapêuticos mais adequados. O método de segmentação combina Wavelet, Otsu, e Morfologia Matemática, para delineamento da parede do vaso. A avaliação do método foi feita usando 1300 imagens de IVUS, resultando em 92, 72% e 91, 9% de verdadeiros positivos, e 10, 7% e 9, 1% de falsos positivos, para o lúmen e borda da média adventícia, respectivamente. Adicionalmente, foi criado um método simples, para caracterização de placas a partir de suas propriedades mecânicas. Esse procedimento se baseia em computar um índice, chamado taxa de variação da área da placa, em imagens adquiridas pré e pós deformação do vaso e placas. Phantoms foram usados para avaliação, os resultados conseguidos com o índice proposto e um amplamente usado foram comparados. Uma correlação chegando à 99%, uma forte concordância usando Análise de Bland Altman, e Histogramas muito similares entre os dois índices, mostraram que o método proposto equivale ao já estabelecido. / Coronary diseases are the cause of death of millions of people annually. One of these dysfunctions is the coronary atherosclerosis, which is the accumulation of lipidic, fibrous and calcified plaques in the coronary wall. This accumulation may cause thrombosis, myocardial infarction and sudden cardiac death. Nonetheless, the kind of plaques offers different levels of dangerousness and elasticity. The highly lipidic plaques are very elastic, offers high risk, while the calcified and fibrous are more stable and less elastic. The Intravascular Ultrasound (IVUS) is the reference medical imaging modality for diagnostic and treatment of coronary diseases. However, the conventional IVUS images provides only anatomical vessel and plaque information; therefore, it is very important the creation of methods and techniques that could make objective the analysis of this information. Due to that, and taking into account the spatial and time information of IVUS images, this work presents methods of segmentation, and feature extraction of lesions, which make possible the quantization of spatial information, and the discrimination of high, and low risk plaques. Consequently, subsidies for diagnoses and more appropriate therapeutic procedures are provided. The segmentation method combines Wavelet, Otsu, and Mathematical Morphology, for the vessel wall delineation. The method evaluation was performed using 1300 IVUS images, resulting in 92, 72% and 91, 9% of true positives, and 10, 7% and 9, 1% of false positives, for the lumen and media adventitia border, respectively. Additionally, a simple method, for plaque characterization using the regarding mechanical properties was created. The procedure relies on computing an index, ratio of plaque area variation, in acquired images pre and post deformation procedure of vessel wall and plaques. Phantoms were used for evaluation. The results obtained by the proposed index, and a widely used one was compared. A correlation up to 99%, a strong agreement with Bland Altman, and similar Histograms between the two indexes demonstrated the equivalence between them; however, the proposed index is much simpler.

Esse trabalho tem como objetivo contribuir para a literatura empírica dos retornos do P&D no Brasil, em particular, dos incentivos fiscais da Lei do Bem (Lei no 11.196/2005) sobre a sobre a produtividade total dos fatores (PTF) das firmas beneficiárias. Para isso, desenvolvemos nosso trabalho em torno de dois objetivos específicos: o primeiro é verificar o impacto do incentivo fiscal sobre os esforços em P&D das firmas beneficiárias por meio do teste de adicionalidade. O segundo é estimar a elasticidade da PTF com relação ao P&D e o impacto do tratamento da Lei do Bem sobre essa elasticidade. Por fim, analisamos o impacto indireto da Lei do Bem sobre a PTF que ocorre por meio do aumento dos dispêndios em P&D. Essa avaliação foi conduzida a partir de estimações de modelos econométricos com microdados de firmas industriais brasileiras para o período de 2003 a 2013, aplicando o procedimento de Propensity Score Matching (PSM) associado a estimações de Efeitos Fixos e de Blundell e Bond (1998). Entre os resultados encontrados, verificamos que apenas as estimações para o período de 2006 a 2009 ultrapassaram o limite superior da renúncia fiscal, o que significa que uma parte do aumento verificado para o período de 2010 a 2013 deva ter ocorrido como substituição do gasto público, evidenciando, pelo menos parcialmente, o efeito de crowding out. Os resultados da segunda etapa do trabalho sugerem que a lei tem efeitos indiretos positivos sobre a produtividade das firmas, mas, apesar disso, a elasticidade da PTF se encontra abaixo da mediana dos estudos internacionais / The objective of this dissertation is to contribute to the empirical literature on returns to R&D in Brazil, in particular, the tax incentives of Lei do Bem (Lei no 11.196/2005) on the total factor productivity (TFP) of the beneficiary firms. In order to do this, we have organized this study around two specific objectives: the first is to verify the impact of the tax incentive on the R&D efforts of the beneficiary firms through the additionality test. The second is to estimate the elasticity of TFP with respect to R&D and the impact of the treatment of the Lei do Bem on this elasticity. Finally, we analyze the indirect impact of the Lei do Bem on TFP that occurs through the increase in expenditures in R&D. This evaluation was carried out based on estimations of econometric models with microdata from Brazilian industrial firms for the period 2003 to 2013, applying the procedure of Propensity Score Matching (PSM) associated with estimates of Fixed Effects, and Blundell and Bond (1998). Among the results, we found that only the estimates for the period from 2006 to 2009 exceeded the upper limit of the tax waiver, which means that part of the increase observed for the period from 2010 to 2013 must have occurred as a substitution of public expenditure, evidencing, at least partially, the crowding-out effect. The results of the second stage of the study suggest that the law has positive indirect effects on firm productivity, but nonetheless, the elasticity of TFP is below the median of international studies.