O fraturamento hidráulico é uma das técnicas de estimulação mais utilizadas pela indústria petrolífera. Esta técnica permite o aumento de produtividade de poços com baixo custo. Essa técnica consiste em induzir a propagação de fissuras nas rochas por meio de uma pressão externa. Assim, modelos para a simulação da propagação de fissuras em tais condições tornam-se de grande importância. O presente trabalho apresenta uma contribuição ao estudo da propagação de fissuras durante o fraturamento hidráulico. Um modelo numérico baseado no Método dos Elementos Finitos será apresentado. Teorias da mecânica da fratura elástico linear são aplicadas e a propagação de fissuras durante o faturamento hidráulico é modelada, tendo como processador das análises a ferramenta numérica FRANC 2D. Os resultados obtidos pelo modelo numérico são comparados com respostas apresentadas na literatura. Boa concordância é observada entre os resultados. Em especial, para os valores da pressão de quebra e o raio de reorientação. / Fracking is one of the most used stimulation techniques by the oil and gas industry. This technique allows the increase of productivity of wells with low cost. Consists in inducing the propagation of cracks in the rocks by means of an external pressure. Thus, models for simulating the propagation of cracks in such conditions become of great importance. This work presents a contribution to the study of the propagation of cracks during the fracking. A numerical model based on the Finite Element Method will be presented. Theories of linear elastic fracture mechanics are applied and the propagation of cracks during hydraulic billing is modeled, with the FRANC 2D numerical tool as the analysis processor. The results obtained by the numerical model are compared with answers presented in the literature. Good agreement is observed among the results. In particular, for the values of the breakdown pressure and the reorientation radius.

Elementos estruturais como as placas finas fazem parte de um grande número de aplicações nas mais diversas áreas da engenharia e são de grande importância para a engenharia naval e aeronáutica, na construção de cascos de embarcações e estruturas offshore, e na construção de fuselagens de aviões. Por constituírem-se em um elemento estrutural esbelto, estão sujeitas a um comportamento mecânico diferenciado denominado de flambagem, proveniente de um carregamento de compressão uniaxial. O fenômeno da flambagem pode ser dividido em flambagem elástica e elasto-plástica, sendo dependente de aspectos dimensionais, construtivos e/ou operacionais. A inclusão de perfurações em placas provoca uma redistribuição de suas tensões internas, afetando não apenas a sua resistência, mas também as suas características de flambagem. Neste trabalho, desenvolveu-se a análise do comportamento mecânico de placas finas perfuradas de aço, simplesmente apoiadas em suas bordas, e submetidas à compressão. Serão analisados dois graus de liberdade: H/L e H0/L0. Para H/L, serão analisadas placas com H/L = 1,00 e H/L = 0,50, sendo que H e L representam, respectivamente, a largura e o comprimento da placa. Para H0/L0, serão analisadas infinitas possibilidades, sendo que H0 e L0 representam, respectivamente, a largura e o comprimento da perfuração. As placas utilizadas possuem espessura (h) de 10,00 mm e perfuração centralizada. Quanto às perfurações, estas serão dos tipos: oblonga longitudinal, oblonga transversal, elíptica, retangular, losangular, hexagonal longitudinal e hexagonal transversal. Ainda em relação às perfurações, serão consideradas as seguintes frações ϕ = 0,08; 0,10; 0,15; 0,20 e 0,25, sendo que (ϕ) corresponde ao volume da perfuração. Para a determinação das cargas crítica e última de flambagem, foi utilizada a simulação numérica com o auxílio do software Ansys®, que é baseado no método dos elementos finitos. A aplicação do método Design Construtal, possibilitou a determinação das geometrias ótimas para todos os tipos de perfurações, todos os valores de (ϕ) e para todas as relações de H/L. Os resultados obtidos mostram que há influência do tipo, da forma e do tamanho da perfuração na definição das curvas limites à flambagem e das curvas à flambagem elasto-plástica. Foi possível definir, para cada tipo de perfuração e para todos os valores de (ϕ), os pontos de transição entre a flambagem elástica e à elasto-plástica, assim como os pontos que definem os valores máximos para o fator TLNMáx (tensão limite normalizadora). / Structural elements such as thin plates are part of a large number of applications in various areas of engineering and are of great importance for marine and aerospace engineering, construction and offshore structures hulls, and the construction of airplane fuselages. Being a slender structural element, they are subject to a different mechanical behavior known as buckling, caused by a compressive loading. The phenomenon of buckling can be divided in elastic and elasto-plastic buckling, being dependent dimensional, construction and / or operational aspects. The inclusion of perforations in plates causes a redistribution of its internal stress, affecting not only their resistance but also their buckling characteristics. In this work it was performed the analysis of the mechanical behavior of thin perforated steel plates, simply supported on its edges, and subjected to compression. In the analysis it was considered two degrees of freedom: H/L and H0/L0. For H/L will be analyzed plates with H/L = 1.00 and H/L = 0.50, wherein H and L represent respectively the width and length of the plate. There are endless possibilities for the relation H0/L0. The studied plates have a thickness (h) of 10.00 mm and centralized perforation. The following types of perforation will be used: longitudinal oblong, transverse oblong, elliptical, rectangular, diamond, longitudinal hexagonal and transverse hexagonal. Also in relation to perforations, it will be considered the following fractions (ϕ = 0.08; 0.10; 0.15; 0.20 and 0.25), wherein (ϕ) corresponds to the volume ratio of the perforation. For determining the critical and ultimate buckling loads it was utilized numerical simulation with the assistance of Ansys® software, which is based on the finite element method. The application of the Constructal Design method of this study made it possible to determine the optimal geometries for all types of perforations, for all values of (ϕ) and all the relations H/L. The results show that there is an influence of the perforation type, shape and size, in defining the limit curves of the buckling and the curves of the elasto-plastic buckling. It was also possible to define, for each type of perforation and for all (ϕ) values, the transition points between elastic and elasto-plastic buckling; as well as the points that define the maximum values for the TLNMáx factor (normalized limit stress).

Este trabalho trata da análise de problemas da Mecânica da Fratura Elástica Linear (MFEL) utilizando o Método dos Elementos de Contorno (MEC). Esse método constitui uma poderosa e precisa técnica de análise numérica. A necessidade da discretização somente do contorno do modelo é um dos grandes atrativos do MEC. Na Mecânica da Fratura, o MEC é adequado pela própria natureza de sua formulação, a qual está baseada em soluções fundamentais. Dentre os parâmetros da MFEL, destaca-se o Fator de Intensidade de Tensão (FIT). No presente desenvolvimento, esse parâmetro é analisado numericamente pela técnica da correlação dos deslocamentos e por uma técnica alternativa a qual emprega o campo de tensões presente na extremidade da trinca. A direção do crescimento da trinca é analisada por meio do critério da Máxima Tensão Circunferencial. Os resultados obtidos são comparados à solução analítica e a outros resultados encontrados na literatura. / This work deals with the analysis of Linear Elastic Fracture Mechanics (LEFM) problems using the Boundary Element Method (BEM). This method is a powerful and accurate technique of numerical analysis. The need of discretization only of the boundary of the model is one of the major advantageous features of the BEM. In Fracture Mechanics, the BEM is adequate due to its intrinsic formulation, which is based on fundamental solutions. In the LEFM, the Stress Intensity Factors (SIF) is one of the most important parameters. In the present study, this parameter is numerically analyzed by the correlation displacement technique and by an alternative technique which considers the stress field at the crack tip. The direction of the crack growth is analyzed using the criterion of Maximum Circumferential Stress. The results are compared to the analytical solution and to other results of literature.

No contexto do método dos elementos de contorno, este trabalho apresenta comparativamente três formulações em distintos aspectos. Visando a análise de sólidos bidimensionais no campo da mecânica da fratura, primeiramente é estudada a equação singular ou em deslocamentos. Em seguida, a formulação hiper-singular ou em forças de superfície é avaliada. Por último, a formulação dual, que emprega ambas equações é analisada. Para esta análise, elementos contínuos e descontínuos são empregados, equações numéricas e analíticas com ponto fonte dentro e fora do contorno são testadas, usando aproximação linear. A formulação é inicialmente empregada a problemas da mecânica da fratura elástica linear e em seguida extendida a problemas não-lineares, especialmente o modelo coesivo. Exemplos numéricos diversos averiguam as formulações, comparando com resultados analíticos ou disponíveis na literatura. / In this work three boundary elment formulations applied to fracture mechanics are studied. Aiming the analysis of two-dimensional solids with emphasis on the crack problem, the first considered method is the one based on using displacement equations only (singular formulation). The second scheme discussed in this work is a formulation based on the use of traction equations (hyper-singular formulation). Finally the dual boundary element method that uses singular and hyper-singular equations is considered. The numerical schemes have been implemented using continuous and discontinuous linear boundary and crack elements. The boundary and crack integral were all carried out by using analytical expressions, therefore increasing the accuracy of the algebraic system obtained for each one of the studied schemes. The developed numerical programs were applied initially to elastic fracture mechanics and then extended to analyze cohesive cracks. Several numerical examples were solved to verify the accuracy of each one of the studied models, comparing the results with the analytical solutions avaliable in the literature.

The strain rate dependent behaviour of fine grained soils is an important aspect of geotechnical engineering. During dynamic or rapid events such as earthquakes and rapid pile testing, a fine grained soil will display significantly different behaviour than may be observed over the long life span of a structure. There is currently little understanding of the factors which influence the behaviour of fine grained soils during dynamic events (extremely high strain rates), making their response difficult to predict. This research investigates the behaviour of fine grained soils subjected to a wide range of constant strain rates in monotonic triaxial compression testing. Each test is conducted under drained conditions to observe the behaviour of soils as they transition from a drained response at lower strain rates, through to an undrained or viscous response at higher strain rate tests. Where the response of soils is drained or partially drained, higher strain rate tests measure a decrease in strength. The point of transition from partially drained to undrained behaviour corresponds to the lowest strain rate dependent strength. Further tests at higher strain rates measure consistently greater strength. The strain rate dependence of three fine grained soils is investigated, enabling a comparison of strain rate effects with soil index properties. The influence of initial state on the strain rate dependence of these Kaolin based model soils is also evaluated. The drained to partially drained response of the soils to strain rate increase is controlled by the coefficient of consolidation. Tests at high strain rates show the undrained or viscous strain rate effect on strength is related to liquidity index. Local strain instrumentation allowed comparison of strain rate effects on small strain stiffness. At higher strain rate the soils display increasingly linear behaviour. At non-linear elastic strains, liquidity index appears to control the magnitude of the strain rate effects on stiffness.

Linear elastic and nonlinear analysis procedures of 2006 Turkish Seismic Rehabilitation Code are applied to medium rise reinforced concrete buildings. In this study, four storey residential buildings are designed according to the 1998 and 1975 Turkish Seismic Design Codes, and the analysis procedures are verified on these case studies. In addition to these buildings, the analysis procedures are tested on an existing school building before and after retrofitting. The assessment procedures employed in the 2006 Turkish Seismic Rehabilitation Code are based on linear elastic analysis (equivalent lateral load method, mode superposition method) / non-linear analysis (pushover analysis with equivalent lateral load method and mode superposition method) and non-linear time history analysis. In this study, linear elastic analysis with equivalent lateral loads and non-linear static analysis (pushover analysis) with equivalent lateral loads are investigated comparatively. SAP2000 software is used for pushover analysis / however the plastic rotation values obtained from SAP2000 are not used directly but defined according to the code procedures. Post-elastic rotations at yielding sections are transferred to Excel and the corresponding strains are calculated from these rotations by Excel Macro. These strains are compared with strain limits described in the 2006 Turkish Seismic Rehabilitation Code to obtain the member performances. In the linear elastic procedure, structural analysis is performed also by SAP2000 to obtain the demand values, whereas the capacity values are calculated by another Excel Macro. With these demand and capacity values, corresponding demand to capacity ratios are calculated and compared with demand to capacity ratio limits described in 2006 Turkish Seismic Rehabilitation Code to obtain the member performances. Global performances of the buildings are estimated from the member performances and from the inter-storey drifts for both two methods. The results are compared to each other, and critically evaluated.

Turkey is located on a seismically active region and ranks high among all countries that have suffered losses of life and property due to earthquakes over many centuries. In addition, its building stock has usually poor construction quality with seismically improper structural systems. These lead to a need for rapid and reliable assessment and retrofit procedures. In the 2007 Turkish Earthquake Code, a new chapter is included for assessment and retrofit of existing buildings. The assessment procedures proposed in the Code are classified as linear elastic and nonlinear procedures. An engineer is allowed to choose one of these two procedures without any restriction. In this study, a research was undertaken in order to clarify the differences between the seismic assessment procedures in the 2007 Turkish Earthquake Code. For this purpose, two pairs of existing and retrofitted residential buildings were assessed according to the principles of both procedures proposed in the 2007 Turkish Earthquake Code. The assessment results were also compared with the actual performance observations from a 5-storey building which suffered damage during the 1999 D&uuml / zce earthquake. In addition, an anchorage design methodology was developed for the exterior coupled shear wall retrofit solution, and tested on a 6-storey case study building.

In Turkey, most of the existing buildings have been designed according to Turkish Earthquake codes of 1975 and 1997. It is a well known fact that, poor material quality, poor design, poor control on site and inadequate workmanship makes existing buildings vulnerable to earthquake. In addition, change in function of buildings becomes another problem. These problems increase the importance of assessment of existing buildings. For this purpose, a new chapter has been added to the new code and assessment methods of existing buildings is regulated. 2007 Turkish Earthquake Code offered two analysis methods, linear and nonlinear analysis methods. Due to comprehensive computational, modeling and assessment challenges involved in applying the code procedures that are generally not well understood by practicing engineers, the use of commercial package computer programs is preferred. There are widely used three software&rsquo / s in Turkey / Idestatik, Sta4 and Probina. These programs currently handle linear assessment method only. This study aims to compare the assessment results of the most widely used three structural analysis and design softwares in Turkey. For this purpose, four v different structures having different property and plan were employed. These buildings were selected to be representative of the mostly common building types. Each building has been modeled and identified with the same material properties, the same reinforcement details and the same geometric properties in each software. The results of the assessment are compared in order to determine the inconsistencies among the software&rsquo / s and their reliability.

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This doctoral thesis is concerned with fatigue life of welded structures. Several topics related to fatigue of welded structures are treated such as; weld defects and their influence on fatigue performance of welded structures, fatigue life prediction using LEFM (Linear Elastic Fracture Mechanics), fatigue testing, welding simulation, residual stress prediction and measurement and their influence on fatigue life. The work that is reported in this doctoral thesis is part results of the Nordic R&D project QFAB (Quality and Cost of Fabricated Advanced Welded Structures) and the Swedish R&D project LOST (Light Optimized Welded Structures). One of the main objectives is to compare different welding processes for the fatigue performance, weld quality and gain understanding of the weld defects, their appearance in different welding processes and their effect on fatigue life. Another main objective is to study welding residual stresses and their effect on fatigue. The design rules are in some cases conservative and especially on the weld root sides the knowledge about the residual stress field may improve the life prediction. The aim is to develop simplified procedures for analysis of residual stresses, their relaxation and influence on fatigue life. Fatigue testing of Hybrid Nd: YAG laser/MAG and MAG welded (tandem arc solid wire, flux cored wire, tandem flux cored wire) non-load carrying cruciform joints was carried out. Four batches were produced, tested and the results were compared. The local weld geometry of the cruciform welded joints was measured and analyzed. Residual stress measurement was carried out close to the toe region using X-ray diffraction. Weld defects, in most cases cold laps, in the cracked specimens were measured. Further fatigue testing, weld defect assessment and residual stress and local weld geometry measurements were carried out on joints welded with flux cored and metal cored arc wires. Two-and three dimensional LEFM crack growth analysis were carried out in order to predict the influence of weld defects, local weld geometry and residual stresses. Residual stresses in multi-pass welded tube-to-plates were studied for two different tubular joint configurations; a three-pass single-U weld groove for maximum weld penetration and a two-pass fillet (no groove) welded tube-to-plates for minimum weld penetration. Torsion fatigue tests were performed in order to study crack propagation from the weld root. Mode III propagation from the lower and upper weld toe on the same tubular joints was also studied. Some tubes were stress relieved (PWHT) and some were fatigue tested with internal static pressure. A three dimensional finite element welding simulation of the multi-pass welded tubular joint was carried out. The calculated temperatures in the transient thermal analysis were compared with measured temperatures. The FE predicted residual stresses in the as-welded conditions were verified with hole drilling strain gage measurements. The residual stresses were used as internal stresses in the finite element model for the torsion fatigue simulation in order to study the cycle by cycle relaxation of the residual stresses in constant amplitude torsion loading. A two dimensional finite element welding simulation procedure was developed in order to predict welding residual stress. The predicted residual stresses were used together with a developed 2D LEFM subroutine to predict the fatigue life, crack path and the effect of residual stresses on weld root defects. The developed simulation subroutines were validated with results found in the literature. Residual stresses measurement, two-and three dimensional welding simulations were carried out in fillet welded joints in order to study the three dimensional effects of the welding process, boundary conditions and modelling technique on the formation of residual stresses. / QC 20100706