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A análise das estruturas de aço sujeitas a ações verticais e horizontais, em termos de esforços solicitantes, deslocamentos e rotações, muitas vezes requer a consideração dos efeitos da não linearidade geométrica. Em outras palavras, a interação entre os deslocamentos e os esforços externos pode provocar uma alteração na intensidade dos esforços internos que solicitam a estrutura que, caso não seja adequadamente avaliada, pode conduzir a uma redução significativa dos níveis de segurança. Nesse contexto, destacam-se duas metodologias de avaliação desses efeitos: aquelas baseadas em análises aproximadas e aquelas baseadas em análises geometricamente exatas. As análises aproximadas podem ser caracterizadas em sua grande maioria por desenvolver um estudo baseado no equilíbrio da estrutura na configuração inicial ou indeformada (análise sob linearidade geométrica) e, em seguida, estimar os esforços solicitantes atuantes na configuração final ou deformada por meio de coeficientes majoradores. Por outro lado, a característica principal da análise geometricamente exata é verificar as condições de equilíbrio estrutural na configuração deformada e sem fazer nenhuma restrição quanto à magnitude dos deslocamentos e rotações ou, em outras palavras, observar o comportamento geometricamente exato (não linear) de maneira direta na configuração final de equilíbrio. Este trabalho propõe realizar um estudo comparativo entre um dos métodos de análise aproximada aquele baseado nos coeficientes B1 e B2, que é recomendado pela norma brasileira ABNT NBR 8800:2008 e um método baseado em análise geometricamente exata, de maneira a verificar as semelhanças e as diferenças entre os resultados. O aço é admitido como elástico. As ferramentas computacionais utilizadas são os programas FTOOL e PEFSYS, formulados segundo teorias de barras lineares e não lineares, respectivamente. / The analysis of steel structures subjected to vertical and horizontal loads, regarding internal forces, displacements and rotations, often requires the consideration of geometrically nonlinear effects. In other words, the interaction between displacements and external loads may cause a changing in the intensity of internal forces acting on the structure which, if not correctly evaluated, lead to significant reducing of structural safety. In this context, there exist two main methodologies to evaluate these effects: one based on approximated analysis and another based on geometrically exact analysis. The approximated analysis can be usually characterized by a study based on the equilibrium of the structure at its initial or undeformed configuration (geometrically linear analysis) and, further, by estimating the internal forces acting at the final or deformed configuration by means of amplifier coefficients. On the other hand, the main characteristic of the geometrically exact analysis is to verify the equilibrium conditions directly at the deformed configuration, without any restrictions regarding the magnitude of displacements and rotations or, in other words, observe the geometrically exact (nonlinear) behaviour directly at the final equilibrium configuration. This work purposes to develop a comparative study between one of the approximated methods the one based on the so called B1 and B2 coefficients, recommended by the Brazilian code ABNT NBR 8800:2008 and a method based on geometrically exact analysis, to verify the similarities and differences of results. The computational tools employed are the softwares FTOOL and PEFSYS, based on linear and nonlinear rod theories, respectively.

O objetivo precípuo deste estudo é a implementação computacional de modelos constitutivos elásticos e elastoplásticos para materiais com gradação funcional em regime de grandes deslocamentos e elevadas deformações. Para simular numericamente um problema estrutural, são empregados aqui elementos finitos sólidos (tetraédrico e hexaédrico) com ordem de aproximação polinomial qualquer. Grandezas da Mecânica Não Linear do Contínuo, como deformação e tensão, são utilizadas na formulação deste estudo. Para reproduzir os grandes deslocamentos, é empregada a análise não linear geométrica. A descrição adotada aqui é a Lagrangiana total, e o equilíbrio da estrutura é expresso pelo Princípio da Mínima Energia Potencial Total. Com relação à resposta elástica do material, são usadas leis constitutivas hiperelásticas, nas quais a relação tensão-deformação é obtida a partir de um potencial escalar. O comportamento elastoplástico do material é definido pela decomposição da deformação nas parcelas elástica e plástica, pelo critério de plastificação de von-Mises, pela lei de fluxo associativa, pelas condições de consistência e de complementaridade, pelo parâmetro de encruamento isotrópico e pelo tensor das tensões inversas, relacionado ao encruamento cinemático. Duas formulações elastoplásticas são utilizadas aqui: a de Green-Naghdi, na qual a deformação é decomposta de forma aditiva; e a hiperelastoplástica, em que o gradiente é decomposto de forma multiplicativa. É empregado também o conceito de material com gradação funcional (GF), a qual é definida como a variação gradual (contínua e suave) das propriedades constitutivas do material. A solução numérica do equilíbrio de forças é feita via método iterativo de Newton-Raphson. Para satisfazer o critério de plastificação, são utilizadas as estratégias de previsão elástica, e de correção plástica via algoritmos de retorno. Basicamente foram desenvolvidos cinco programas computacionais: o gerador automático das funções de forma; o gerador de malhas de elementos finitos sólidos; o código para análise de materiais em regime elástico; o código para análise de materiais em regime elastoplástico; e o programa de pós-processamento. Além desses, o aluno teve contato com os programas EPIM3D e DD3IMP ao longo de seu estágio de doutorado na Universidade de Coimbra (Portugal). Os programas EPIM3D e DD3IMP são empregados para analisar, respectivamente, materiais em regime elastoplástico, e processos de conformação de metais. Para o problema da barra sob tração uniaxial uniforme, são descritas equações e soluções analíticas para materiais homogêneos e com GF em regime elastoplástico. Para reduzir o tempo de simulação, foi empregada a programação em paralelo. De acordo com os resultados das simulações numéricas, as principais conclusões são: o refinamento da malha de elementos finitos melhora a precisão dos resultados para materiais em regimes elástico e elastoplástico; as formulações elastoplásticas de Green-Naghdi e hiperelastoplástica parecem ser equivalentes para pequenas deformações; a formulação hiperelastoplástica é equivalente ao modelo mecânico dos programas EPIM3D e DD3IMP para materiais em regime de pequenas deformações elásticas; foram constatados ganhos significativos, em termos de tempo de simulação, com a paralelização dos códigos computacionais de análise estrutural; e os programas desenvolvidos são capazes de simular - com precisão - problemas complexos, como a membrana de Cook e o cilindro fino transversalmente tracionado. / The main objective of this study is the computational implementation of elastic and elastoplastic constitutive models for functionally graded materials in large deformation regime. In order to numerically simulate a structural problem, the finite elements used are solids (tetrahedric and hexahedric) of any order of approximation. Entities from Nonlinear Continnum Mechanics, as strain and stress, are used in the present formulation. To reproduce the finite displacements, the geometrically nonlinear analysis is employed. The description adopted here is the total Lagrangian, and the structural equilibrium is expressed by means of the Principal of Minimum Total Potential Energy. Regarding the elastic material response, hyperelastic constitutive laws are used, in which the stress-strain relation is obtained from a scalar potential. The elastoplastic material behavior is defined by the strain decomposition in the elastic and plastic parts, by the von-Mises yield criterion, by the associative flow law, by the consistency and complementarity conditions, by the isotropic hardening parameter, and by the backstress tensor, related to the kinematic hardening. Two elastoplastic formulations are used here: the Green-Naghdi one, in which the strain is additively decomposed; and the hyperelastoplasticiy, in which the gradient is multiplicatively decomposed. The concept of functionally graded (FG) material, in which the constitutive properties vary gradually (continuous and smoothly), is also used. The numerical solution of the forces equilibrium is obtained via Newton-Raphson iterative procedure. In order to satisfy the yield criterion, the strategies of elastic prediction and plastic correction (via return algorithms) are used. Basically, five computer codes have been developed: the automatic shape functions generator; the solid mesh generator; the code for analysis of materials in the elastic regime; the code for analysis of materials in the elastoplastic regime; and the post-processor. Besides these, the student had contact with the programs EPIM3D and DD3IMP during his doctoral stage in the University of Coimbra (Portugal). The programs EPIM3D and DD3IMP are employed to analyze, respectively, materials in the elastoplastic regime, and sheet-metal forming processes. For the problem of the bar under uniform uniaxial tension, equations and analytical solutions are described for homogeneous and FG materials. To reduce the simulation time, the parallel programming has been employed. According to the numerical simulation results, the main conclusions are: the results accuracy is improved with mesh refinement for materials in the elastic and elastoplastic regimes; the Green-Naghdi elastoplastic formulation and the hyperelastoplasticity appear to be equivalent for small strains; the hyperelastoplastic formulation is equivalent to the mechanical model of the programs EPIM3D and DD3IMP for materials the small elastic strains regime; simulation time reduction has been obtained with the parallelization of the computer codes for structural analysis; the developed programs are capable of simulating, precisely, complex problems, such as the Cook\'s membrane and the pulled thin cylinder.

Conselho Nacional de Desenvolvimento Científico e Tecnológico / Tendo como foco de reflexão a produção de novas identidades em situação de deslocamento, o presente trabalho compara as trajetórias de estudantes cabo-verdianos em trânsito no Brasil (Rio de Janeiro) e em Portugal (Lisboa) em busca da elaboração de seus projetos de vida e formação superior. A partir da análise de suas narrativas, aborda como esses estudantes constroem suas identidades, em contexto pós-colonial e transnacional, em contato com diversas pessoas e grupos sociais (estudantes brasileiros, portugueses e de outras nacionalidades) e como vivenciam as tensões raciais nos distintos contextos de destino. Deixar Cabo Verde para emigrar para outros países é vivido por muitos jovens cabo-verdianos não só como um destino e um sonho de vida melhor, de ter uma formação superior no exterior, mas também de conhecer outras pessoas e lugares dos quais eles têm notícias de sucessos através de outros estudantes e imigrantes. Longe de casa, da família e dos amigos, as narrativas ressaltam a importância das escolhas na elaboração de seus projetos e das redes de relações construídas nos países de destino para minimizar a saudade, ajudar no acolhimento na universidade e integração na sociedade. Assim, com base nas estratégias de adaptação, vivenciando processos de inclusão e exclusão em diversas situações sociais, no Rio de Janeiro e em Lisboa, o trabalho discute o impacto do trânsito para a reconfiguração de identidades e pertencimentos dos estudantes. / The research focus on the reflection of production of new identities in situation of displacement, comparing the trajectories of Cape Verdeans students in transit both in Brazil (Rio de Janeiro) and Portugal (Lisbon) in pursuit of the development of their life projects and higher education. Based on the analysis of their narratives, it discusses how these students build their identities by having contact with various social groups (Brazilian, Portuguese students and other nationalities) in a post-colonial and transnational context and how they experience racial tensions in different contexts of their destination. Leaving Cape Verde to emigrate to other countries is experienced by many young Cape Verdeans not only as a destiny, a dream of a better life, of having a higher education abroad, but also to meet other people and to visit places from which they have news of successful experiences through other students and immigrants. Away from home, family and friends, such narratives highlight the importance of choices in designing their projects, and of networks of relationships built in the destination countries to minimize homesickness, help reception at university and integration in society. Thus, based on the adaptation strategies, experiencing processes of inclusion and exclusion in various social situations in Rio de Janeiro and Lisbon, this thesis discusses the impact of transit for the reconfiguration of identities and belonging of those students.

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No. of bitstreams: 3 Tese-Gláucia M Q Baraúna.pdf: 2691273 bytes, checksum: 56eef81c0886aadad3a3904d40c3314c (MD5) Ficha-Glaucia M Q Baraúna.pdf: 5963 bytes, checksum: 68d125e0bae34db8eb96e71a46331d70 (MD5) Caderno de fotos-Gláucia M Q Baraúna.pdf: 14694777 bytes, checksum: 5194d2ece866cf63c395d2c719d397ab (MD5) Previous issue date: 2014-09-23 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / To design large projects in the Amazon region never stopped being a governmental pretense. Since the 1960’s, we have seen a series of investments in infrastructure, being built in the most unimaginable places in the region. The installation of such “monuments” have affected various aspects of the lives of “traditional peoples and communities”, instigating local social conflicts. The implantation of the “Madeira Complex” represents one more milestone in the history of “traditional peoples and communities” by generating “forced displacements” and the separation of organizational units, in order to make way for “integrationist" actions. Those “people affected” (“atingidos”) by this process, whom are the focus of this research, have established a struggle for the recognition of their rights, related to various issues, above all, the collective existence as “atingidos” by the “Madeira Complex” hydroelectric project. In this research, I highlight various conflicting situations, specifically those that occurred between 2011 and 2014. During this period the conflict situations have become more intense. The struggle of the “atingidos” caused by the hydroelectric companies has been based on the maintenance of their territories, the recognition of their rights, the guarantee of their way of life, as well as the practices through which they have socially constructed their concepts and ways of relating to each other. Considering the disputes and impositions, I start from the understanding of how such social agents have reacted to all of the onslaughts that prioritize the establishment of infrastructure that benefits the coalition of interests between “private companies and governments”; taking into account that this association denies the recognition of the social agents and their rights over the territories historically occupied in the Madeira River region. / Projetar grandes obras na Amazônia nunca deixou de ser uma pretensão governista. Desde a década de 60, temos visto uma sucessão de investimentos em infraestrutura, sendo erguidos nos mais inimagináveis lugares da região. A instalação de tais monumentos afetaram/afetam variados aspectos da vida de povos e comunidades tradicionais, acirrando os conflitos sociais locais. A implantação do "Complexo Madeira" representa mais um marco na história dos povos e comunidades tradicionais ao gerar processos de deslocamento compulsório e desagregação de unidades organizativas para dar passagem a ações “integracionistas”. Os atingidos focalizados nesta pesquisa têm travado uma luta pelo reconhecimento de seus direitos, relacionados a diversas questões, sobretudo, à existência coletiva enquanto atingidos pelo projeto hidrelétrico “Complexo Madeira”. Destaco nesta pesquisa várias situações conflituosas, tendo como marco dos acontecimentos, os anos de 2011 a 2014. Durante este período as situações de conflito social têm se aguçado. A luta dos atingidos pelas hidrelétricas tem se dado pela manutenção de seus territórios, pelo reconhecimento de seus direitos, pela garantia de seu modo de vida e pelas práticas através das quais construíram socialmente suas concepções e formas de relacionar-se. Considerando as disputas e imposições, parto da compreensão de como tais agentes sociais têm reagido a todas as investidas que priorizam a instauração de uma infraestrutura que beneficia a coalizão de interesses entre “empresas privadas e governos”; levando em conta que essa associação nega o reconhecimento dos agentes sociais e de seus direitos sobre os territórios historicamente ocupados no rio Madeira.

The topic of this thesis is the theoretical analysis of theoptomechanical coupling effects in a high-finesse optical cavity, and the experimental realization of such a device.Radiation pressure exerted by light limits the sensitivity of high precision optical measurements. In particular, the sensitivity of interferometric measurements of gravitational wave is limited by the so called standard quantum limit. cavity with a movable mirror. The internal field stored in such cavity can be orders of magnitude greater than the input field, and it's radiation pressure force can change the physical length of the cavity. In turn, any change in the mirror's position changes the phase of the out put field. This optomechanical coupling leads to an intensity-dependent phase shift for thelight equivalent to an optical Kerr effect. Such a device can then be used for squeezing generation or quantum nondemolition measurements.In our experiment, we send a laser beam in to a high-finesse optical cavity with a movable mirror coated on a high Q-factor mechanical resonator. Quantum effects of radiation pressure become therefore, at low temperature, experimentally observable. However, we've shown that the phase of the reflected field is very sensitive to small mirror displacements, which indicate other possible applications of thistype of device like high precision displacements measurements. We've been able to observe the Brownian motion of the moving mirror. We've also used an auxiliary intensity modulated laser beam to optically excite the acoustic modes. We've finally obtained a sensitivity of2x10^(-19) m/sqrt(Hz), in agreement with theoretical prediction.

<p>The goal of the project work has been to study the symmetry of the phonons in 4H and 6H-SiC for different measuring geometries by using two experimental techniques, Raman and infrared absorption (IR) spectroscopy, and a theoretical model. The Raman spectra were measured in different scattering configurations in order to obtain experimental data for detailed investigation of the phonon symmetries.</p><p>The gross features of the spectra obtained in different geometries can be explained using general group-theoretical arguments. Using a lattice-dynamics model, we have also calculated the angular dependence of the phonon energies near the centre of the Brillouin zone, as well as the phonon displacements in some high-symmetry directions. The theoretical results are used to interpret the Raman lines in different configurations, and it was possible to estimate that if ionicity of the bonding of 12% is taken in the theoretical model for 4H-SiC, the splitting of the polar TO mode and the shift of the polar LO mode observed in our spectra are well reproduced theoretically. It was also observed that these polar modes have to be classified as longitudinal and transversal with respect to the direction of phonon wave vector, while the rest of the modes remain longitudinal or transversal with respect to the c-axis of the crystal. The Raman lines in the case of 4H SiC have been tentatively labelled with the irreducible representations of the point group of the crystal (C6v).</p>

The goal of the project work has been to study the symmetry of the phonons in 4H and 6H-SiC for different measuring geometries by using two experimental techniques, Raman and infrared absorption (IR) spectroscopy, and a theoretical model. The Raman spectra were measured in different scattering configurations in order to obtain experimental data for detailed investigation of the phonon symmetries. The gross features of the spectra obtained in different geometries can be explained using general group-theoretical arguments. Using a lattice-dynamics model, we have also calculated the angular dependence of the phonon energies near the centre of the Brillouin zone, as well as the phonon displacements in some high-symmetry directions. The theoretical results are used to interpret the Raman lines in different configurations, and it was possible to estimate that if ionicity of the bonding of 12% is taken in the theoretical model for 4H-SiC, the splitting of the polar TO mode and the shift of the polar LO mode observed in our spectra are well reproduced theoretically. It was also observed that these polar modes have to be classified as longitudinal and transversal with respect to the direction of phonon wave vector, while the rest of the modes remain longitudinal or transversal with respect to the c-axis of the crystal. The Raman lines in the case of 4H SiC have been tentatively labelled with the irreducible representations of the point group of the crystal (C6v).

‘Optical Caustics’ represent some of the most visually striking patterns of the light in nature.They occur when light rays from a source, such as the sun, get refracted, or reflected by curved media so as to bend and alter their path. They are ubiquitous and signify the regions of space in which many rays intersect to form bright singularities along a two-or a three-dimensional surface. The associated 2-D patterns (caustic patterns) could be simple or complex in ‘shape and size’ depending upon the optical arrangement used to produce them. Such patterns exhibit either a static or a dynamic behavior which can be controlled sensitively by the medium or the device used to produce them. The present thesis concerns with a few novel contributions in utilization of such optical caustics for the measurement of small angular rotation/tilt of objects. Utilizing a ‘hollow cylinder’ as a novel device for the generation of the optical caustics, the author proposed and demonstrated three new schemes of realizing a position-dependent-behavior of ‘Optical Caustic Patterns’. The said behavior is investigated both analytically as well as experimentally. The results of the investigation are then utilized to propose and demonstrate three methods of magnifying angular displacement of the hollow cylinder. The salient feature of the principle behind each of the said methods is illustrated in the figures below. The patterns in each of the above pictures correspond to two different positions of the hollow cylinder-the pattern in white color corresponds to the initial position while that in red color corresponds to new angular position of the cylinder. Defining S1 = ƒ (LΔΦ), S2= ƒ(TΔΦ) and S3= ƒ(ξ ΔΦ) as new signals from the proposed methods, it has been shown that each of them represent a magnified measure of the change in the angular position of the cylinder ΔΦ. Further, if a plane mirror is used in place of cylinder in the proposed methods, the corresponding signal S for the same change in the angular position ΔΦis represented by ΔD. For a chosen set of the experimental conditions, it is shown that for unit change in ΔΦ, the values of S1, S2 and S3 change 30, 37 and 62 times faster than ΔD. The investigations clearly demonstrate that hollow cylinders can be advantageously used as position-magnifying angle-sensing devices. The results of the investigations also suggest that in application areas such as auto collimation, torsion pendulum and design of motion control stages, this device is expected to bring in new advances.

The purpose of this thesis is to propose several corotational beam formulations for both 2D and 3D nonlinear dynamic analyse of flexible structures. The main novelty of these formulations is that the cubic interpolation functions are used to derive not only the internal force vector and the tangent stiffness matrix but also the inertial force vector and the dynamic matrix. By neglecting the quadratic terms of the local transversal displacements, closed-form expressions for the inertial terms are obtained for 2D problems. Based on an extensive comparative study of the parameterizations of the finite rotations and the time stepping method, and by adopting an approximation of the local rotations, two consistent and effective beam formulations for 3D dynamics are developed. In contrast with the first formulation, the second one takes into account the warping deformations and the shear center eccentricity. The accuracy of these formulations is demonstrated through several numerical examples.