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[pt] A produção de areia é um dos mais freqüentes e graves problemas observados durante a produção de um poço de petróleo, completado em arenitos mal consolidados. Este fenômeno pode causar obstrução do poço, abrasão dos equipamentos de elevação e de superfície, colapso do revestimento e problemas ambientais derivados da disposição em superfície das areias contaminadas. Por outro lado, em reservatórios de baixa produtividade que produzem óleo de alta viscosidade, uma limitada produção de areia incrementa a produtividade do poço. Nos estudos para previsão da produção de areia é de fundamental importância definir-se um modelo constitutivo capaz de reproduzir o comportamento tensão-deformação do arenito e os mecanismos de ruptura que provocam instabilidade do poço. Este é o tema central desta tese. Em especial, o trabalho procurou explorar modelos constitutivos baseados em meios contínuos de Cosserat. Uma justificativa para isto está relacionada ao fato de experimentos demonstrarem a influência da microestrutura nos processos de ruptura que ocorrem na vizinhança do poço. O modelo utilizado foi o elastoplástico de Bogdanova-Bontcheva & Lippmann (1975) incorporando as leis de fluxo associada e não associada. Inicialmente são definidos alguns conceitos básicos relevantes ao entendimento do fenômeno de produção de sólidos. Uma revisão da teoria dos meios contínuos generalizados de Cosserat é apresentada e em seguida é discutido o modelo elastoplástico de Bogdanova- Bontcheva e Lippmann com detalhes das implementações computacionais necessárias. Finalmente, são feitas análises de geometrias de poços, procurando-se identificar os mecanismos de ruptura que provocam instabilidade e que são uma potencial fonte de produção de areia. / [en] Sand production is one of the most frequent and serious problems observed during the production of an oil well completed in weak sandstones. This phenomenon can cause wellbore plugging, surface and rise equipment abrasion, casing collapse and environmental problems derived from the disposal in surface of contaminated sands. On the other hand, for reservoirs of low productivity, that produce oil of high viscosity, a limited sand production increase the productivity of the well. In the studies for sand production prediction, it is of basic importance to define a consitutive model capable of reproducing the stress-strain behaviour of the sandstones and the failure mechanisms that causes wellbore instability. This is the central focus of the present work. In order to represent the behaviour of the rock masses, models based in Cosserat continuum were used. Elastoplastic models (associated/not associated) under that theory (Bogdanova-Bontcheva and Lippmann) were implemented. Initially, basic concepts related to the understanding of the phenomenon of solid production are presented. A review of the theory of generalized Cosserat continuum is presented, the elastoplastic model of Bogdanova-Bontcheva and Lippmann is described, together with details of the computational implementations. Finally, analyses of well geometries with the implemented Cosserat based elastoplastic models are shown,identifying the failure mechanisms.

This thesis investigates the underlying causes of friction and ine ciency within an internal combustion engine, focusing on the ring-liner conjunction in the vicinity of the power-stroke top dead centre reversal. In such lubricated contacts, friction is the result of the interplay between numerous kinetics, with those at micro- and nano-scale interactions being signi cantly di erent than the ones at larger scales. A modi ed Elrod's cavitation algorithm is developed to determine the microscopic tribological characteristics of the piston ring-liner contact. Predicting lubricant tran- sient behaviour is critical when the inlet reversal leads to thin lms and inherent metal-to-metal interaction. The model clearly shows that cavitation at the trailing edge of the ring-liner contact generated pre-reversal, persists after reversal and pro- motes starvation and depletion of the oil lm. Hence, this will lead to boundary friction. A fractal based boundary friction model is developed for lightly loaded asperity con- tacts, separated by diminishing small lms, usually wetted by a layer of molecules adsorbed to the tips of the asperities. In nano-scale conjunctions, a lubricant layering e ect often takes place due to the smoothness of surfaces, which is governed by the surface and lubricant properties. A molecularly thin layer of lubricant molecules can adhere to the asperities, being the last barrier against direct surface contact. As a result, boundary friction (prevailing in such diminishing gaps) is actually determined by a combination of shearing of a thin adsorbed lm, adhesion of approaching as- perities and their plastic deformation. A model for physio-chemical hydrodynamic mechanism is successfully established, describing the formation of thin adsorbed lms between asperities. This model is e ectively integrated with separately devel- oped models that predict the adhesive and plastic contact of asperities.

Trata-se uma análise elastoplástica de tensões planas nos métodos de conformação em forjamentos com matriz aberta ou fechada e trefilação. Emprega-se o método das linhas de fluência, desenvolvido por Hencky e Prager. O estudo visa a determinação das tensões na região plástica e do campo de velocidades na região deformada, utilizando o método de Prager aplicado a um processo analítico. / An elastoplastic analysis of plane strain in axisymmetric flat and closed punch die and wiredrawing was made using the slip lines method, developed by Hencky and Prager. Studies were made to determine the strains in the plastic zone and the velocities in deformed zone using the Prager\'s method applyed in an analytical process.

A deformação dos solos é, atualmente, objeto de intensas pesquisas em todo o mundo movidas pelas necessidades da engenharia geotécnica. Este trabalho, que aborda o tema nos aspectos teórico e experimental, inicia-se revendo as relações constitutivas elasto-plásticas e o modelo Cam-Clay, cuja formulação matemática é apresentada de um modo diferente do usual. O modelo é construído de forma sistêmica a partir das equações elasto-plásticas gerais. Na parte experimental investiga-se o comportamento de um solo siltoso remoldado, quando submetido a ensaios triaxiais com diferentes trajetórias de tensão após adensamento isotrópico. Por fim comparam-se resultados experimentais e teóricos. Conclui-se que o modelo comporta-se melhor nas trajetórias de tensão em que não há diminuição da tensão octaédrica, embora preveja deformações volumétricas exageradas. Por sua vez, nas trajetórias em que há diminuição da tensão octaédrica, a diferença entre o comportamento previsto e o observado é grande, revelando que o modelo não deve ser aplicado nesses casos. / Soil deformation is today a subject of intense research all over the world motivated by the necessities of the geotechnical engineering. This work, which approaches the theme in both theoretical and experimental aspects, reviews the elastoplastic constitutive relations and the Cam-Clay model, and examines the behavior of a remoulded silty soil when subjected to different stress paths. Following a brief exposition of some basic Continuum Mechanics concepts, the elastic and elastoplastic constitutive equations are presented in a general form, which serve as a basis for several soil models. After a discussion about soil behavior and its representation by models, the Cam-Clay mathematical formulation is presented in an unusual form: it begins with the general elastoplastic constitutive equations, the elastic stress-strain relation, the yield function and the hardening law being given. The plastic stress-strain relation in deduced. In the experimental part the behavior of a remoulded silty soil from the Escola Politécnica Foundation Experimental Field is investigated. Oedometric, isotropic and triaxial compression tests (that were performed as part of the research) are described and analysed. Among them the triaxial tests with different stress paths after isotropic consolidation constitute the principal subject of analysis. Finally the Cam-Clay equations are integrated along the tests stress paths and the experimental e theoretical results are confronted. The conclusions is that the model behaves better in stress paths where there is no octabedral stress reduction, although even then it predicts exaggerated volumetric strains. In its turn, in stress paths where there is an octahedral stress reduction the difference between predicted and observed behavior is large, revealing that the model should not be applied in such cases.

This thesis investigates the underlying causes of friction and ine ciency within an internal combustion engine, focusing on the ring-liner conjunction in the vicinity of the power-stroke top dead centre reversal. In such lubricated contacts, friction is the result of the interplay between numerous kinetics, with those at micro- and nano-scale interactions being signi cantly di erent than the ones at larger scales. A modi ed Elrod's cavitation algorithm is developed to determine the microscopic tribological characteristics of the piston ring-liner contact. Predicting lubricant tran- sient behaviour is critical when the inlet reversal leads to thin lms and inherent metal-to-metal interaction. The model clearly shows that cavitation at the trailing edge of the ring-liner contact generated pre-reversal, persists after reversal and pro- motes starvation and depletion of the oil lm. Hence, this will lead to boundary friction. A fractal based boundary friction model is developed for lightly loaded asperity con- tacts, separated by diminishing small lms, usually wetted by a layer of molecules adsorbed to the tips of the asperities. In nano-scale conjunctions, a lubricant layering e ect often takes place due to the smoothness of surfaces, which is governed by the surface and lubricant properties. A molecularly thin layer of lubricant molecules can adhere to the asperities, being the last barrier against direct surface contact. As a result, boundary friction (prevailing in such diminishing gaps) is actually determined by a combination of shearing of a thin adsorbed lm, adhesion of approaching as- perities and their plastic deformation. A model for physio-chemical hydrodynamic mechanism is successfully established, describing the formation of thin adsorbed lms between asperities. This model is e ectively integrated with separately devel- oped models that predict the adhesive and plastic contact of asperities.

Estimating the in situ mechanical properties of sediments containing gas hydrates from seismic or log data is essential for evaluating the risks posed by mechanical failure during drilling, completions, and producing operations. In this paper, a method is presented for constructing correlations between the mechanical properties of gas hydrate bearing sediments and geophysical data. A theory based on micromechanics models was used to guide the selection of parameters that govern the physical behavior of sediments. A set of nondimensionalized relations between elastoplastic properties and those that could be inferred from log or seismic data was derived. Using these relations, a correlation for the Young’s modulus was constructed for sands with methane and THF hydrate using data from a wide variety of sources. It was observed that the correlation did not fit data obtained from samples with high THF hydrate saturations, due possibly to the existence of cohesive mechanisms that operate in such regimes.

A deformação dos solos é, atualmente, objeto de intensas pesquisas em todo o mundo movidas pelas necessidades da engenharia geotécnica. Este trabalho, que aborda o tema nos aspectos teórico e experimental, inicia-se revendo as relações constitutivas elasto-plásticas e o modelo Cam-Clay, cuja formulação matemática é apresentada de um modo diferente do usual. O modelo é construído de forma sistêmica a partir das equações elasto-plásticas gerais. Na parte experimental investiga-se o comportamento de um solo siltoso remoldado, quando submetido a ensaios triaxiais com diferentes trajetórias de tensão após adensamento isotrópico. Por fim comparam-se resultados experimentais e teóricos. Conclui-se que o modelo comporta-se melhor nas trajetórias de tensão em que não há diminuição da tensão octaédrica, embora preveja deformações volumétricas exageradas. Por sua vez, nas trajetórias em que há diminuição da tensão octaédrica, a diferença entre o comportamento previsto e o observado é grande, revelando que o modelo não deve ser aplicado nesses casos. / Soil deformation is today a subject of intense research all over the world motivated by the necessities of the geotechnical engineering. This work, which approaches the theme in both theoretical and experimental aspects, reviews the elastoplastic constitutive relations and the Cam-Clay model, and examines the behavior of a remoulded silty soil when subjected to different stress paths. Following a brief exposition of some basic Continuum Mechanics concepts, the elastic and elastoplastic constitutive equations are presented in a general form, which serve as a basis for several soil models. After a discussion about soil behavior and its representation by models, the Cam-Clay mathematical formulation is presented in an unusual form: it begins with the general elastoplastic constitutive equations, the elastic stress-strain relation, the yield function and the hardening law being given. The plastic stress-strain relation in deduced. In the experimental part the behavior of a remoulded silty soil from the Escola Politécnica Foundation Experimental Field is investigated. Oedometric, isotropic and triaxial compression tests (that were performed as part of the research) are described and analysed. Among them the triaxial tests with different stress paths after isotropic consolidation constitute the principal subject of analysis. Finally the Cam-Clay equations are integrated along the tests stress paths and the experimental e theoretical results are confronted. The conclusions is that the model behaves better in stress paths where there is no octabedral stress reduction, although even then it predicts exaggerated volumetric strains. In its turn, in stress paths where there is an octahedral stress reduction the difference between predicted and observed behavior is large, revealing that the model should not be applied in such cases.

Trata-se uma análise elastoplástica de tensões planas nos métodos de conformação em forjamentos com matriz aberta ou fechada e trefilação. Emprega-se o método das linhas de fluência, desenvolvido por Hencky e Prager. O estudo visa a determinação das tensões na região plástica e do campo de velocidades na região deformada, utilizando o método de Prager aplicado a um processo analítico. / An elastoplastic analysis of plane strain in axisymmetric flat and closed punch die and wiredrawing was made using the slip lines method, developed by Hencky and Prager. Studies were made to determine the strains in the plastic zone and the velocities in deformed zone using the Prager\'s method applyed in an analytical process.

Um elemento finito para análises elastoplásticas de placas (em flexão ou não) e cascas é descrito. Este elemento apresenta geometria triangular e é o resultado do acoplamento entre um elemento de flexão de placas (DKT) e um elemento de tensão plana, baseado na formulação livre (FF). O elemento DKT é um elemento finito bem conhecido, considerado por muitos autores como um dos melhores de sua classe. O elemento FF apresenta o grau de liberdade rotacional normal, que é essencial quando se trabalha com cascas aproximadamente planas. Além disso, sua convergência é garantida devido à imposição do \'Teste do Elemento Individual\'. O comportamento elastoplástico é aproximado por meio de técnicas de integração implícita. Plasticidade associativa é considerada com encruamento isotrópico e critério de von Mises. Afim de preservar a taxa assintótica de convergência quadrática do método de Newton-Raphson, a matriz tangente elastoplástica consistente é aplicada. Resultados demonstram a precisão e eficiência da formulação proposta. / A finite element for elastoplastic analysis of plates (in bending or not) and shells is described. This element presents triangular geometry and is the result of a coupling between a plate in bending element (DKT) and a plane stress elernent, based on the free formulation (FF). The DKT element is a well-known finite element, considered by many authors as one of the best of its class. The FF element presents the normal rotation degree of freedom, what is essential when working with near planar shells. Beyond this, its convergence is guaranteed due to the imposition of the \'Individual Element Test\'. The elastoplastic behaviour is approached by means of implicit integration techniques. Associative plasticity is considered with isotropic hardening and the von Mises criteria. In order to preserve the quadratic rate of asymptotic convergence of Newton-Raphson method, the consistent elastoplastic tangent matrix is applied. Results demonstrates the accuracy and efficiency of the proposed formulation.