The mechanical behavior of a high pressure die cast AM60B Mg alloy is studied. Constant load amplitude fatigue tests were conducted at room, elevated and cold temperatures, with a stress ratio of R=0.1, and frequency of 30 Hz. The objective was to identify the possible effects of temperature on fatigue life cycle. In addition, fatigue crack propagation tests were conducted to ascertain the fatigue response of the alloy and determine its fatigue crack growth rate as a function of the applied stress ratio, experimentally, analytically and computationally, using Walker’s model. The results demonstrated that temperature had a significant influence on the fatigue life, and that the life increased at cold temperature but decreased at elevated temperature as compared to that evaluated at room temperature. In this study, the limit for applicability of LEFM was established for AM60B magnesium alloy. In addition, fatigue crack propagation test results were used to evaluate the coefficients of the Paris model.

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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).

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.

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.

Orientador: Leandro Palermo Junior / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Civil, Arquitetura e Urbanismo / Made available in DSpace on 2018-08-11T02:34:56Z (GMT). No. of bitstreams: 1 Figueiredo_LuizGustavode_M.pdf: 920848 bytes, checksum: 436f0a3bed33057f927837f04e2e8804 (MD5) Previous issue date: 2008 / Resumo: A avaliação da influêcia de um modelo coesivo de fratura no comportamento estrutural e a simulação de propagação de fraturas pré-existentes, com a Mecâica da Fratura Elástica Linear (MFEL), em problemas bidimensionais, usando o Método dos Elementos de Contorno Dual (DBEM), é o principal objetivo deste estudo. Problemas elásticos lineares em meio contínuo podem ser resolvidos com a equação integral de contorno de deslocamentos. O Método dos Elementos de Contorno Dual pode ser utilizado para resolver os problemas de fratura, onde a equação integral de contorno de forças de superfície é implementada em conjunto com a equação integral de contorno de deslocamentos. Elementos contínuos, descontínuos e mistos podem ser usados no contorno. Diferentes estrat?ias de posicionamento dos pontos de colocação são discutidas neste trabalho, onde os fatores de intensidade de tensão são avaliados com ténica de extrapolação de deslocamentos em fraturas existentes dos tipos: borda, inclinada e em forma de 'v¿. Um modelo coesivo é utilizado para avaliação de comportamento estrutural de um corpo de prova com fratura de borda segundo diferentes estratégias desenvolvidas: uma análise coesiva geral e uma análise coesiva iterativa, as quais são comparadas com o comportamento não coesivo. A força normal coesiva relaciona-se com o valor da abertura de fratura na direção normal na lei constitutiva na Zona de Processos Coesivos (ZPC). A simulação de propagação de uma fratura de borda existente e sua implementa?o num?ica no DBEM, sob deslocamento imposto, é realizada utilizando o critério da mínima tensão circunferencial. Palavras-chave: Método dos Elementos de Contorno; Métodos dos Elementos de Contorno Dual; Mecânica da Fratura Elástica Linear; Modelos Coesivos; Propagação de Fraturas / Abstract: An evaluation of the effect of the cohesive fracture model on the structural behavior and the crack propagation in pre-existing cracks with the Linear Elastic Fracture Mechanics (LEFM), for two dimensional problems, using the Dual Boundary Element Method (DBEM), is the main purpose of the present study. Linear elastic problems in continuum media can be solved with the boundary integral equation for displacements. The Dual Boundary Element Method can be used to solve fracture problems, where the traction boundary integral equation is employed beyond the displacement boundary integral equation. Conformal and non-conformal interpolations can be employed on the boundary. Different strategies for positioning the collocation points are discussed in this work, where the stress intensity factors are evaluated with the displacement extrapolation method to an existing single edge crack, central slant crack and central kinked crack. A cohesive model is used to evaluate the structural behavior of the specimen with a single edge crack under different strategies: a general cohesive analysis and an iterative cohesive analysis; which are compared with the non-cohesive behavior. The normal cohesive force is dependent of the crack opening value in the normal direction in the constitutive law of the Cohesive Process Zone (CPZ). A crack propagation of an existing single edge crack and its numerical implementation in DBEM, under constrained displacement, is analyzed using the maximum hoop stress criterion. Key Words: Boundary Element Method; Dual Boundary Element Method; Linear Elastic Fracture Mechanic; Cohesive Models; Propagation of Cracks / Mestrado / Estruturas / Mestre em Engenharia Civil

Reinforced concrete frames, infilled with brick/concrete block masonry, are the most common type of structures found in multi-storeyed constructions, especially in developing countries. Usually, the infill walls are considered as non-structural elements even though they alter the lateral stiffness and strength of the frame significantly. Approximately 80% of the structural cost from earthquakes is attributable to damage of infill walls and to consequent damages of doors, windows and other installations. Despite the broad application and economical significance, the infill walls are not included in the analysis because of the design complexity and lack of suitable theory. But in seismic areas, ignoring the infill-frame interaction is not safe because the change in the stiffness and the consequent change in seismic demand of the composite structural system is not negligible. The relevant experimental findings shows a considerable reduction in the response of infilled frames under reverse cyclic loading. This behaviour is caused by the rapid degradation of stiffness, strength, and low energy dissipation capacity resulting from the brittle and sudden damage of the unreinforced masonry infill walls. Though various national/international codes of practice have incorporated some of the research outcomes as design guidelines, there is a need and scope for further refinement. In the initial part of this work, a numerical modelling and linear elastic analysis of masonry infilled RC frames has been done. A multi-storey multi-bay frame infilled with masonry panels, is considered for the study. Both macro modelling and micro modelling strategies are adopted. Seismic loading is considered and an equivalent static analysis as suggested in IS 1893, 2002 is done. The results show that the stiffness of the composite structure is increased due to the obvious confinement effects of infill panels on the bounding frame. A parametric study is conducted to investigate the influence of size and location of openings, presence/absence of infill panels in a particular storey and elevation irregularity in terms of floor height. The results show that the interaction of infill panel changes the seismic response of the composite structure significantly. Presence of openings further changes the seismic behaviour. Increase in openings increases the natural period and introduce newer failure mechanisms. Absence of infill in a particular storey (an elevation irregularity) makes it drift more compared to adjacent storeys. Since the structural irregularities influence the seismic behaviour of a building considerably, we should be cautious while construction and renovation of such buildings in order to take the advantage of increased strength and stiffness obtained by the presence of infill walls. A nonlinear dynamic analysis of masonry infilled RC frames is presented next. Material non linearity is considered for the finite element modelling of both masonry and concrete. Concrete damage plasticity model is employed to capture the degradation in stiffness under reverse cyclic loading. A parametric study by varying the same parameters as considered in the linear analysis is conducted. It is seen that the fundamental period calculation of infilled frames by conventional empirical formulae needs to be revisited for a better understanding of the real seismic behaviour of the infilled frames. Enhancement in the lateral stiffness due to the presence of infill panel attracts larger force and causes damage to the composite system during seismic loading. Elevation irregularities included absence of infill panels in a particular storey. Soft storey shows a tendency for the adjacent columns to fail in shear, due to the large drift compared to other storeys. The interstorey drift ratios of soft storeys are found to be larger than the limiting values. However this model could not capture the separation at the interfaces and related failure mechanisms. To improve the nonlinear model, a contact surface at the interface is considered for a qualitative analysis. A one bay one storey infilled frame is selected. The material characteristics were kept the same as those used in the nonlinear model. Contact surface at the interface was given hard contact property with pressure-overclosure relations and suitable values of friction at the interface. This model could simulate the compressive diagonal strut formation and the switching of this compressive strut to the opposite diagonal under reverse cyclic loading. It showed an indication of corner crushing and diagonal cracking failure modes. The frame with central opening showed stress accumulation near the corners of opening. Next, the micro modelling strategy for masonry suggested by Lourenco is studied. This interface element can be used at the masonry panel-concrete frame interface as well as at the expanded masonry block to block interface. Cap plasticity model (modified Drucker – Prager model for geological materials) can be used to describe the behaviour of masonry (in terms of interface cracking, slipping, shearing) under earthquake loading. The blocks can be defined as elastic material with a potential crack at the centre. However, further experimental investigation is needed to calibrate this model. It is required to make use of the beneficial effects and improve upon the ill-effects of the presence of infills. To conclude, infill panels are inevitable for functional aspects such as division of space and envelope for the building. Using the lateral stiffness, strength contribution and energy dissipation capacity, use of infill panels is proposed to be a wiser solution for reducing the seismic vulnerability of multi-storey buildings.

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