O concreto armado é um material de alta relevância para a construção civil e o aprimoramento das técnicas de análise estrutural possibilitam a elaboração de projetos mais realistas. Dentre os aprimoramentos, pode-se citar o incremento preciso de informações referentes às questões de envelhecimento, levando-se em conta, desta forma, fenômenos como fluência e retração relacionados com a idade do material no momento da aplicação das cargas. A análise de estruturas de cascas é altamente complexa e o incremento de deformações devido ao comportamento diferido pode resultar em conformações divergentes às obtidas pelas análises instantâneas, sendo bastante relevante ao campo da engenharia estrutural. Assim, este trabalho apresenta um modelo numérico computacional, com base no método dos elementos finitos, para análise diferida e não linear física e geométrica de cascas de concreto armado. Com esta finalidade, elementos de casca laminares, segundo uma formulação isoparamétrica Lagrangeana, foram implementados para representar o concreto. Para as armaduras, implementações dos modelos incorporado e distribuído foram realizadas. Na análise do concreto submetido a cargas instantâneas um modelo elastoplástico é admitido. Para a análise diferida, modelos Kelvin e Maxwell generalizados foram implementados, calibrados para o uso em estruturas de concreto e comparados entre si. A formulação geral inclui ainda os efeitos da fissuração no concreto e é válida nos campos dos grandes deslocamentos e pequenas deformações. Os resultados obtidos foram satisfatórios, para todos os modelos implementados, quando comparados com dados experimentais. / The reinforced concrete is a high relevance material to the civil construction and improvements of structural analysis tools result in more realistic projects. Increment of information about the aging material as creep and shrinkage are some of these improvements possibilities. The analysis of shell structures is complex and the assumption of long term analysis could result in a different deformed shape when compared with an instantaneous analysis, being very important to structural engineering. Thus, a numeric computational model, based on finite element method, aiming long term and nonlinear analysis of reinforced concrete shells is presented in this work. Degenerated shell elements, according a Lagrangean isoparametric formulation, were implemented. Smeared and embedded models to the reinforcement representation were incorporated. For instantaneous analysis an elastoplastic model has been admitted, while for long term analysis, viscoelasticity based on generalized Kelvin chain and generalized Maxwell chain have been proposed. These chains were calibrated for use in concrete structures and compared between each other. The general formulation includes cracking effects and it can be applied to large displacements and small deformations. The software has presented good agreement with experimental results.

A consolidação das técnicas de dosagem e fabricação de concretos auto-adensáveis com reduzida relação a/c pode ser considerada como um dos desenvolvimentos mais impactantes da nova tecnologia do concreto. No Brasil a utilização deste tipo de concreto, apesar de estar aumentando consideravelmente, ainda é relativamente modesta. Projeta-se, todavia, uma considerável expansão nos próximos anos, em função das vantagens que este material oferece. Por isso, várias instituições têm buscado aprofundar o conhecimento sobre o concreto auto-adensável (CAA), através de estudos e pesquisas sobre o comportamento e características desse novo material. Visando colaborar para um melhor conhecimento sobre as propriedades de concretos autoadensáveis no estado endurecido, foi efetuado um estudo sobre o comportamento, em termos de deformação instantânea e lenta, de vigas fabricadas com CAA. O programa experimental compreendeu a análise de seis vigas de concreto armado dimensionadas segundo as exigências da NBR 6118/2003.Para fabricação das mesmas foi utilizado um concreto convencional, com teor de argamassa de 55%, que serviu como referência, e dois concretos auto-adensáveis, com teores de argamassa de 55% (similar ao do convencional) e 60% (típico de concretos auto-adensáveis). As vigas permaneceram em carga durante aproximadamente cinco meses, durante os quais foi registrada a evolução dos deslocamentos transversais do centro e do terço médio. Os resultados experimentais foram comparados com valores numéricos obtidos através da norma brasileira e do emprego de um modelo computacional baseado em elementos finitos. De uma forma geral, verificou-se que concretos auto-adensáveis possuem comportamento similar ao concreto convencional, podendo ser utilizada, para o dimensionamento de peças com este concreto, a mesma norma utilizada para estruturas de concreto convencional. Verificou-se, porém, que o modelo simplificado da norma brasileira vigente para estimativa da deformação total de longo prazo não apresentou dados coerentes com os resultados coletados em ensaio, subestimando os valores obtidos. Uma análise mais precisa foi possível através de um modelo de elementos finitos. Verificou-se, todavia, que para avaliar o comportamento de vigas de concreto armado em ambiente similar ao do ensaio, é imprescindível a inclusão dos efeitos da retração. / Self-compacting concrete (SCC) is considered by many researchers and field engineers as one of the most important recent developments in concrete technology. Despite the considerable advantages that are associated with the use of this special concrete, its use in Brazil is still limited, although there is a growth trend. A strong market expansion is expected in a short period, reproducing what is now happening in Europe and the US. Therefore, many research institutions have been trying to increase the scientific knowledge about SCC, trough studies and researches focused on this new material. In this paper, a study about the immediate and long-term deflections of reinforced concrete beams using SCC is presented, aiming to increase the knowledge about the properties of the self-compacting concrete in its hardened state. In the experimental part of this study, a comparison between the maximum deflections registered in concrete beams under constant load, made with conventional and SCC concrete, is carried out. The experimental program involved the casting and testing of six beams with the same geometry, longitudinal and transversal reinforcement, and subjected to the same load pattern. The beam prototypes were designed according to the Brazilian standard NBR 6118/2003, with a 210cm span and an 18x10cm cross-section. Two types of concrete with different mortar contents have been used: one conventional concrete with a mortar content of 55%, and two SCCs with mortar contents of 55% and 60%. The beams were put under load during approximately five months. The mechanical properties of concrete have been determined and the maximum deflections have been measured throughout this period. The experimental results have been compared with numerical estimates obtained using procedures recommended by the Brazilian standard and with estimates from a FEM computational model. Overall, it was found that self-compacting concrete has a similar behavior to conventional concrete, for the same mortar content, and can be designed with the same criteria used for conventional concrete structures. The estimates obtained using the Brazilian standard, however, underestimated the maximum deflections in relation to the experimental data collected. Better estimates were obtained using the FEM model, when temperature and humidity data was used to account for the shrinkage.

[pt] Carregamentos de longa duração produzem um aumento contínuo nas deformações das estruturas de concreto armado devido à fluência do concreto. Em geral a fluência do concreto não afeta a resistência dos elementos estruturais. Em pilares esbeltos, entretanto, ela pode reduzir a capacidade de carga como resultado do aumento substancial das excentricidades de segunda ordem levando a uma instabilidade do pilar. Neste trabalho é feito um estudo experimental sobre os efeitos da fluência do concreto em pilares esbeltos. Foram ensaiados seis pilares de 210 cm de comprimento e seção transversal de 12,5 x 15 cm, solicitados a flexo-compressão reta. As variáveis consideradas foram a taxa de armadura e a excentricidade da carga aplicada, constante e de longa duração. O principal objetivo do trabalho foi estudar o efeito do aumento, ao longo do tempo, da excentricidade de segunda ordem sobre a resistência dos pilares. Os resultados experimentais são comparados com resultados teóricos obtidos por meio de métodos encontrados na literatura. / [en] Sustained loads cause a progressive increase of the strains in a structure due to concrete creep. In general, creep strains do not affect the strength of the structural elements. In slender columns, however, they can reduce the load capacity as a result of the continuous increase of the second order eccentricity, leading to the column instability. An experimental investigation on the effects of concrete creep on the behavior of slender columns was carried out in the present study. Six columns 210 cm long, with cross sections of 12,5 cm x 15 cm, were tested subjected to sustained eccentric compressive loading. The main objective was to study the effect of the increase of the second order eccentricity on the ultimate strength of the columns. The experimental results were compared with results obtained from theoretical methods available in the literature .

abstract: The microstructure development of Inconel alloy 718 (IN718) during conventional processing has been extensively studied and much has been discovered as to the mechanisms behind the exceptional creep resistance that the alloy exhibits. More recently with the development of large scale 3D printing of alloys such as IN718 a new dimension of complexity has emerged in the understanding of alloy microstructure development, hence, potential alloy development opportunity for IN718. This study is a broad stroke at discovering possible alternate microstructures developing in Direct-Metal-Laser-Sintering (DMLS) processed IN718 compared to those in conventional wrought IN718. The main inspiration for this study came from creep test results from several DMLS IN718 samples at Honeywell that showed a significant improvement in creep capabilities for DMLS718 compared to cast and wrought IN718 (Honeywell). From this data the steady-state creep rates were evaluated and fitted to current creep models in order to identify active creep mechanisms in conventional and DMLS IN718 and illuminate the potential factors responsible for the improved creep behavior in DMSL processed IN718. Because rapid heating and cooling can introduce high internal stress and impact microstructural development, such as gamma double prime formations (Oblak et al.), leading to differences in material behavior, DMLS and conventional IN718 materials are studied using SEM and TEM characterization to investigate sub-micron and/or nano-scale microstructural differences developed in the DMLS samples as a result of their complex thermal history and internal stress. The preliminary analysis presented in this body of work is an attempt to better understand the effect of DMLS processing in quest for development of optimization techniques for DMLS as a whole. A historical sketch of nickel alloys and the development of IN718 is given. A literature review detailing the microstructure of IN718 is presented. Creep data analysis and identification of active creep mechanisms are evaluated. High-resolution microstructural characterization of DMLS and wrought IN718 are discussed in detail throughout various chapters of this thesis. Finally, an initial effort in developing a processing model that would allow for parameter optimization is presented. / Dissertation/Thesis / Masters Thesis Engineering 2017

abstract: The use of solar energy to produce power has increased substantially in the past few decades. In an attempt to provide uninterrupted solar power, production plants may find themselves having to operate the systems at temperatures higher than the operational capacity of the materials used in many of their components, which affects the microstructural and mechanical properties of those materials. Failures in components that have been exposed to these excessive temperatures have been observed during operations in the turbine used by AORA Solar Ltd. A particular component of interest was made of a material similar to the Ni-based superalloy Inconel 718 (IN 718), which was observed to have damage that is believed to have been initiated by Foreign Object Damage (FOD) and worsened by the high temperatures in the turbine. The potential links among the observed failure, FOD and the high temperatures of operation are investigated in this study. IN718 is a precipitation hardened nickel superalloy with resistance to oxidation and ability to withstand high stresses over a wide range of temperatures. Several studies have been conducted to understand IN 718 tensile and fatigue properties at elevated temperatures (600- 950°C). However, this study focuses on understanding the behavior of IN718 with FOD induced by a stream of 50 μm Alumina particles at a velocity of 200 m/s. under high cycle fatigue at an elevated temperature of 1050 °C. Tensile tests were conducted for both as-received and heat treated (1050 °C in air for 8hrs) samples at room and high temperature. Fatigue tests were performed at heat treated samples at 1050 °C for samples with and without ablation. The test conditions were as similar as possible to the conditions in the AORA turbine. The results of the study provide an insight into tensile properties, fatigue properties and FOD. The results indicated a reduction in fatigue life for the samples with ablation damage, where crack nucleation occurred either at the edge or inside the ablation region and multisite cracking was observed under far field stresses that were the same than for pristine samples, which showed single cracks. Fracture surfaces indicate intergranular fracture, with the presence of secondary cracks and a lack of typical fatigue features, e.g., beach marks which was attributed to environmental effects and creep. / Dissertation/Thesis / Masters Thesis Materials Science and Engineering 2017

Due to the unbonded nature of tendons to the slab within Unbonded Post Tensioned (UPT) concrete structures, tendon stress relaxation under heating affects all regions of the slab spanned by the tendon; not just in the locality of the fire. The numerical modelling of bonded and unbonded post tensioned concrete structures in fire has been performed to some degree, notably by Bailey and Ellobody. The consideration of elevated temperature creep to the relaxation of tendon prestress however, has not been considered. This thesis attempts to incorporate a uniaxial creep strain rate function of stress and temperature into the commercial FE software package Abaqus, compatible for use within the in-built multiaxial metal plasticity constitutive framework. What follows is a validation study of the Harmathy’s uniaxial creep strain accumulation function via the modelling of stress relaxation in isolated, tensioned and heated prestressing steel tendons, against experimental data. From here, UPT concrete slab models are analysed whilst exposed to a standard fire temperature-time curve and subsequently allowed to cool. Tendon prestress relaxation and resulting UPT concrete slab deflection is compared, where tendon creep is explicitly modelled, as opposed to implicitly covered by Eurocode 2 determined temperature dependent stress-strain curves. Following this, a large scale continuous one-way spanning UPT concrete structural model is developed to consider global structural behaviour resulting from localised fire, where realistic boundary conditions such as beam rotation and deflection are permitted. The ignorance of explicit elevated temperature creep consideration, in prestressing steel tendons, is commonly justified through the implicit accountability stated within Eurocode 2 temperature dependent stress-strain curves. This however is not completely true; Eurocode 2 states implicit accountability only holds should the tendon be heating at a rate within the bounds of 2⁰C/min to 50⁰C/min. Where only heating of a UPT concrete slab is considered, evidence from this thesis suggests Eurocode 2 determined stress-strain curves can implicitly account for accumulated creep strain up to limited temperatures. Prestressing steel tendons are however embedded within a concrete slab through which thermal gradients build up during fire. This means heat transfer can continue to the tendon, increasing its temperature postfire at an ever decreasing rate until it reaches its peak. Should post-fire cooling behaviour not be considered, continued tendon heating and subsequent creep strain accumulation will be ignored. Further, during the transition from heating to cooling within the tendon, it will be exposed to elevated temperatures with a rate of change below 2⁰C/min, whereby Eurocode 2, as stated cannot implicitly account for creep. It is shown, a significant degree of subsequent relaxation of prestress, UPT concrete slab deflection and concrete damage in hogging can occur during this phase of postfire behaviour, where the tendon temperature peaks during its transition from heating to cooling. In order to justify non consideration of creep, it should be shown tendon temperature will remain suitably low throughout the entire heating-cooling regime to which the UPT concrete slab is exposed. This must be achieved through adequate specification of minimum concrete cover to tendons to limit tendon temperature exposure for a given parametric fire curve duration, including the potential continued rise post-fire. Evidence within this thesis identifies 350⁰C as a critical temperature whereby the explicit consideration of tendon creep does not significantly increase predicted prestress relaxation and subsequent UPT concrete slab deformation, compared to implicit creep consideration from Eurocode 2. The manufacturing standard to which prestressing steel tendon strands are produced has been shown experimentally by Gales to significantly influence their susceptibility to elevated temperature creep. This is reflected by Gales determining differing creep parameters as a function of stress for incorporation in Harmathy’s uniaxial creep strain function. Modelled prestress relaxation of isolated, tensioned and heated tendons within this thesis is therefore significantly reduced when tendons are manufactured to a yield stress of 1860MPa according to the BS 5896 standard, as opposed to the ASTM A416 standard. As a result Eurocode 2 determined stress-strain curves implicitly account for accumulated creep strain during heating, at 10⁰C per minute, up to approximately 400⁰C for grade 1860 ASTM A416 manufactured tendons and 500⁰C for grade 1860 BS 5896 standard tendons. The aforementioned critical temperature of 350⁰C does not in actuality apply to necessary explicit creep consideration for UPT concrete slabs modelled with grade 1860 BS 5896 standard tendons. This temperature however remains a design temperature limit, owing to the potential onset of microstructural recrystallization beyond 400⁰C and the associated degradation of mechanical properties that coincides. The reasons for such differing elevated temperature creep and stress relaxation behaviour between the two manufacturing standards of prestressing steel wires and strands has been postulated within this thesis to be due to differing chemical compositions. This relates specifically to large relative differences of phosphorus and sulphur found in wires manufactures to each standard as tested by Gales.

Este trabalho apresenta resultados de ensaios de fluência de geotêxteis não tecidos executados em ensaios confinados. No equipamento utilizado, o reforço é confinado entre camadas de solo, permitindo que ambos os materiais tenham liberdade para apresentar deformações ao longo do tempo. Nesses ensaios, uma tensão vertical é aplicada ao solo que por sua vez solicita o reforço. Os ensaios foram realizados com três geotêxteis não tecidos, sendo dois de polipropileno e um de poliéster, e quatro tipos de solo confinante: três materiais granulares e uma argila silto-arenosa. Além disso, também foram executados ensaios de fluência não confinada para permitir comparação com os ensaios confinados. Os resultados indicaram que houve grande contribuição do confinamento na redução das deformações por fluência dos materiais ensaiados. Também foi avaliada a influência de alguns fatores na fluência confinada dos geotêxteis não tecidos, tais como: tipo de solo, tipo de geotêxtil e gramatura do reforço. Tais resultados são interessantes para avaliar o potencial de fluência do composto solo-geotêxtil que, normalmente, é baseado somente em ensaios no elemento isolado de reforço / This work presents results of creep tests on no woven geotextiles tested in confined lab tests. In the used equipment, the reinforcement is confined between two soil layers, allowing both materials to have freedom to deform with time. In those tests, a vertical stress is applied to the soil that transfers load to the reinforcement. The tests were performed using three no woven geotextiles, two of polypropylene and one of polyester, and four types of confining soil: three granular materials and sandy silty clay. Besides, unconfined creep tests were carried out to allow comparison with the confined tests. The results indicated that there was great contribution of the confinement in the reduction of the creep deformations of the tested materials. Also the influence of some factors was evaluated in the confined creep of the no woven geotextiles, such as: soil type, type of geotextile and mass per unit area of the reinforcement. Such results allow the evaluation of the potential of creep of the system soil-geotextile

Resumo: Avaliou-se o efeito do extrato de própolis na redução da verminose e sobre os parâmetros hematológicos e bioquímicos de 18 cordeiros Ile de France (nove machos não-castrados e nove fêmeas) dos 5 aos 15 kg de peso corporal, no desmame. Os animais foram distribuídos em três tratamentos, constituídos por dietas isoprotéicas e isoenergéticas, com adição ao concentrado de 0, 15 e 30 mg de extrato de própolis a 11%/kg de peso corporal . O delineamento experimental foi o inteiramente casualizado em esquema de parcela subdividida no tempo. Observou -se que a contagem de ovos por grama de fezes foi influenciada pelos diferentes tratament os. Nos cordeiros estudados, a ad ição de 30 mg de extrato de própolis foi mais efetiva em reduzir o número de ovos tipo Stron gylida por grama de fezes, do que a de 15 mg e a que não continha o extrato, indicando uma possível redução na ovoposição dos endoparasitos. As contagens globais de hemácias, neutrófilos bastonetes e monócitos, taxa de hemoglobina e o percentual de hematócrito apresentaram efeito para interação entre os tratamentos e as datas de observação. Não houve diferenças para as contagens de leucócitos, neutrófilos segmentados e linfócitos, já os eosinófilos variaram dentro do período de coleta. Em relação aos parâmetros bioquímicos analisados, o extrato de própolis não afetou as concentrações séricas de uréia, creatinina, albumina, bilirrubina direta e indireta, e plasmática de glicose. Já os níveis séricos d e colesterol, proteínas totais e bilirrubina total diferiram entre os tratamentos. Com base nos resultados, concluí-se que a adição de extrato de própolis às rações dos cordeiros não provocou alterações importantes nos parâmetros hematológicos e bioquímicos, que indicassem reações adversas à sua administração, além de ser uma possível alternativa no controle da verminose em cordeiros. / Abstract: The effect of the propolis extract was evaluated in the reduction of the nematodes and on the hematological and bioch emical parameters of 18 lambs Ile of France (nine no-castrated males and nine females) of the 5 to the 15 kg of corporal weight, in it weans them. The animals were distributed in three treatments, constituted by protein and energy concentration diets, with addition to the concentrate of 0, 15 and 30 mg of propolis extract to 11%/kg of corporal weight. The experimental delineation was entirely occurred in portion outline subdivided in the time. It was observed that the counting of eggs for gram of feces was influenced by the different treatments. In the studied lambs, the addition of 30 mg of extract of propolis was more effective in reducing the number of eggs type Strongylida for gram of feces, than the one of 15 mg and the one that didn't contain the extra ct, indicating a possible reduction in the eggs of the endoparasites. The global countings of the red cells, neutrophiles and monocytes, hemoglobin tax and the percentile of hematocrits presented effect for interaction among the treatments and the dates fo r observation. There were not differences for the leucocytes countings, segmented neutrophiles and lymphocytes, whereas the eosinophiles varied inside of the collection period. In relation to the analyzed biochemical parameters, the extract of propolis did n't affect the serum urea, creatinine, albumin, direct and indirect, and plasmatic bilirubin concentration of glucose. The serum levels of cholesterol, total proteins and total bilirubin differed among the treatments. On base in the results, I was ended th at the addition of extract of propolis to the rations of the lambs didn't provoke important alterations in the hematological and biochemical parameters, that they indicated adverse reactions to his/her administration, besides being a possible alternative in the control of the nematodes in lambs. / Orientador: Americo Garcia da Silva Sobrinho / Coorientador: Áureo Evangelista Santana / Banca: Adjair Antonio do Nascimento / Banca: Lucimar Pontara Peres de Moura / Mestre

As vigas mistas de aço e concreto têm sido muito empregadas em obras civis de pequeno e grande porte. O emprego em conjunto de vigas de aço e lajes de concreto armado visa explorar as melhores características de cada um dos elementos, gerando uma solução estrutural econômica e eficiente. Os conectores de cisalhamento, que são os dispositivos de união desses elementos, permitem a transferência do esforço cortante ao longo da estrutura. O presente trabalho trata-se de uma continuação do estudo realizado por Tamayo (2011), o qual desenvolveu um código computacional em linguagem Fortran 90, utilizando o método dos elementos finitos, que é capaz de representar estruturas de vigas mistas em análises de curta duração. A teoria da plasticidade associada com um algoritmo de retorno explícito para o concreto e aço foi empregada em um procedimento incremental iterativo. O presente trabalho visa incluir a análise de serviço no código elasto-plástico, ou seja, a consideração dos efeitos de longa duração que interferem na distribuição de tensões e deformações da estrutura. A teoria da solidificação proposta por Bazant e Prasannan (1988) foi empregada para analisar os efeitos devido à fluência do concreto. Para o cálculo da fluência empregou-se um modelo reológico baseado na cadeia de Kelvin em série. Usando conceitos da série de Dirichlet, os parâmetros desta cadeia foram obtidos através de uma aproximação por mínimos quadrados. Em conjunto com a teoria da solidificação, os modelos de fluência e retração, propostos pelo Comité Euro-International du Béton (1990), foram utilizados. O amolecimento do concreto foi adicionado ao modelo computacional. Para os conectores de cisalhamento foi testada uma nova formulação empregando uma rigidez secante. As tarefas de pré e pós processamento foram realizadas através do software GiD que auxiliou nas etapas de geração da geometria e malha de elementos finitos, confecção de arquivo de entrada, e visualização dos resultados. Exemplos testados experimentalmente foram empregados para validação do modelo numérico proposto. / Steel-concrete composite beams have been widely applied to both small and large civil works. The combined use of steel beams and reinforced concrete slabs aims to explore the best features of each one, creating an efficient structural solution with low cost. The shear connectors are the device joining the steel beam and concrete slab, allowing the transfer of shear along the structure. This work follows the research of Tamayo (2011) who developed a program in Fortran 90 language, using the finite element method, capable of representing composite beam structures in short time analyzes. The associated theory of plasticity with an explicit return algorithm for concrete and steel was used in an incremental iterative procedure. This study aims to include the service analysis into the code, which means to account for long-term effects that influence the stress and strain distribution in the structure. The solidification theory proposed by Bazant and Prasannan (1988) was used to examine the creep effects of concrete. For the creep calculation, a rheological model based on the Kelvin chain in series was employed. Using concepts of Dirichlet series, the chain parameters were obtained through a least squares approximation. Together with the solidification theory, the creep and shrinkage models proposed by the Comité Euro-International du Béton (1990) were used. The concrete softening was added to the computational model. A new formulation using secant stiffness was tested for the shear connectors modeling. The pre and post processing tasks were performed using the GiD software, which was used for geometry and finite element mesh generation, input file writing, and results viewing. Specimens tested experimentally were used for the validation of the proposed numerical model.

O concreto armado é um material de alta relevância para a construção civil e o aprimoramento das técnicas de análise estrutural possibilitam a elaboração de projetos mais realistas. Dentre os aprimoramentos, pode-se citar o incremento preciso de informações referentes às questões de envelhecimento, levando-se em conta, desta forma, fenômenos como fluência e retração relacionados com a idade do material no momento da aplicação das cargas. A análise de estruturas de cascas é altamente complexa e o incremento de deformações devido ao comportamento diferido pode resultar em conformações divergentes às obtidas pelas análises instantâneas, sendo bastante relevante ao campo da engenharia estrutural. Assim, este trabalho apresenta um modelo numérico computacional, com base no método dos elementos finitos, para análise diferida e não linear física e geométrica de cascas de concreto armado. Com esta finalidade, elementos de casca laminares, segundo uma formulação isoparamétrica Lagrangeana, foram implementados para representar o concreto. Para as armaduras, implementações dos modelos incorporado e distribuído foram realizadas. Na análise do concreto submetido a cargas instantâneas um modelo elastoplástico é admitido. Para a análise diferida, modelos Kelvin e Maxwell generalizados foram implementados, calibrados para o uso em estruturas de concreto e comparados entre si. A formulação geral inclui ainda os efeitos da fissuração no concreto e é válida nos campos dos grandes deslocamentos e pequenas deformações. Os resultados obtidos foram satisfatórios, para todos os modelos implementados, quando comparados com dados experimentais. / The reinforced concrete is a high relevance material to the civil construction and improvements of structural analysis tools result in more realistic projects. Increment of information about the aging material as creep and shrinkage are some of these improvements possibilities. The analysis of shell structures is complex and the assumption of long term analysis could result in a different deformed shape when compared with an instantaneous analysis, being very important to structural engineering. Thus, a numeric computational model, based on finite element method, aiming long term and nonlinear analysis of reinforced concrete shells is presented in this work. Degenerated shell elements, according a Lagrangean isoparametric formulation, were implemented. Smeared and embedded models to the reinforcement representation were incorporated. For instantaneous analysis an elastoplastic model has been admitted, while for long term analysis, viscoelasticity based on generalized Kelvin chain and generalized Maxwell chain have been proposed. These chains were calibrated for use in concrete structures and compared between each other. The general formulation includes cracking effects and it can be applied to large displacements and small deformations. The software has presented good agreement with experimental results.