A demanda por estruturas mais leves implica num ganho em economia, porém o aumento de esbeltez da estrutura pode tornar ela susceptível a instabilidade frente a tensões compressivas estáticas ou dinâmicas. A instabilidade acontece em várias escalas da estrutura analisada e pode interagir com outras formas de colapso como a propagação instável de fissuras, problema governado pela mecânica da fratura, pela plastificacão do material, ou por uma combinação dos efeitos citados. Neste contexto, no presente trabalho, se explora a capacidade do método dos elementos discretizados por barras (LDEM) na simulação de problemas de instabilidade estática e dinâmica devido as tensões de compressão. Este método permite simular o sólido como um arranjo de barras com rigidez equivalente ao contínuo que se quer representar. Leis constitutivas não lineares permitem modelar ruptura de forma simples. A equação de movimento resultante da discretização permite formular uma equação de movimento desacoplada que pode ser integrada no domínio do tempo com um método explícito (Método das Diferencias Finitas Centrais). O fato das barras serem rotuladas nos seus extremos e a solução do problema ser obtida de forma incremental permite capturar problemas com não linearidade geométrica, entre eles a instabilidade estrutural frente a tensões compressivas. Como último exemplo se realiza a análise de um painel sanduiche por flexão em três pontos, que é composto por um núcleo de poliuretano, com duas lâminas externas de material compósito, neste caso a instabilidade estrutural está associada a flambagem da camada da lâmina comprimida. Finalmente a potencialidade da metodologia de análise utilizada é discutida. / The demand for lighter structures implies a gain in economy, but the increase in slenderness of the structure may make it susceptible to instability against static or dynamic compressive stresses. Instability occurs at various scales of the analyzed structure and may interact with other forms of collapse such as unstable crack propagation, problem governed by fracture mechanics, plastification of the material, or a combination of the cited effects. In this context, in the present work, we explore the ability of the discrete elements methods by bars (LDEM) in the simulation of problems of static and dynamic instability due to the compression stresses. This method allows to simulate the solid as an arrangement of bars with rigidity equivalent to the continuum that one wants to represent. Constitutive non-linear laws allow simple modeling of rupture. The equation of motion resulting from the discretization allows us to formulate a decoupled motion equation that can be integrated in the time domain with an explicit method (Central Finite Differences Method). The fact that the bars are labeled at their ends and the solution of the problem is obtained in an incremental way allows to capture problems with geometric non-linearity, among them the structural instability against compressive tensions. The last example, the analysis of a sandwich panel by three-point bending, which is composed of a polyurethane core, with two external blades of composite material, in this case the structural instability is associated with buckling of the layer of the compressed blade . Finally, the potential of the analysis methodology is discussed.

A demanda por estruturas mais leves implica num ganho em economia, porém o aumento de esbeltez da estrutura pode tornar ela susceptível a instabilidade frente a tensões compressivas estáticas ou dinâmicas. A instabilidade acontece em várias escalas da estrutura analisada e pode interagir com outras formas de colapso como a propagação instável de fissuras, problema governado pela mecânica da fratura, pela plastificacão do material, ou por uma combinação dos efeitos citados. Neste contexto, no presente trabalho, se explora a capacidade do método dos elementos discretizados por barras (LDEM) na simulação de problemas de instabilidade estática e dinâmica devido as tensões de compressão. Este método permite simular o sólido como um arranjo de barras com rigidez equivalente ao contínuo que se quer representar. Leis constitutivas não lineares permitem modelar ruptura de forma simples. A equação de movimento resultante da discretização permite formular uma equação de movimento desacoplada que pode ser integrada no domínio do tempo com um método explícito (Método das Diferencias Finitas Centrais). O fato das barras serem rotuladas nos seus extremos e a solução do problema ser obtida de forma incremental permite capturar problemas com não linearidade geométrica, entre eles a instabilidade estrutural frente a tensões compressivas. Como último exemplo se realiza a análise de um painel sanduiche por flexão em três pontos, que é composto por um núcleo de poliuretano, com duas lâminas externas de material compósito, neste caso a instabilidade estrutural está associada a flambagem da camada da lâmina comprimida. Finalmente a potencialidade da metodologia de análise utilizada é discutida. / The demand for lighter structures implies a gain in economy, but the increase in slenderness of the structure may make it susceptible to instability against static or dynamic compressive stresses. Instability occurs at various scales of the analyzed structure and may interact with other forms of collapse such as unstable crack propagation, problem governed by fracture mechanics, plastification of the material, or a combination of the cited effects. In this context, in the present work, we explore the ability of the discrete elements methods by bars (LDEM) in the simulation of problems of static and dynamic instability due to the compression stresses. This method allows to simulate the solid as an arrangement of bars with rigidity equivalent to the continuum that one wants to represent. Constitutive non-linear laws allow simple modeling of rupture. The equation of motion resulting from the discretization allows us to formulate a decoupled motion equation that can be integrated in the time domain with an explicit method (Central Finite Differences Method). The fact that the bars are labeled at their ends and the solution of the problem is obtained in an incremental way allows to capture problems with geometric non-linearity, among them the structural instability against compressive tensions. The last example, the analysis of a sandwich panel by three-point bending, which is composed of a polyurethane core, with two external blades of composite material, in this case the structural instability is associated with buckling of the layer of the compressed blade . Finally, the potential of the analysis methodology is discussed.

No description available.

Sandwich Panels with cellular cores are widely used in the aerospace industry for their higher stiffness to mass, strength to mass ratio, and excellent energy absorption capability. Even though, sandwich panels are considered state of the art for lightweight aerospace structures, the requirement to further reduce the mass exists due to the direct impact of mass on mission costs. Traditional manufacturing techniques have limited the shape of the cores to be either hexagonal or rectangular, but, with rapid advancements in additive manufacturing, other core shapes can now be explored. This research aims to identify and evaluate the mechanical performance of two-dimensional cores having standard wall geometry, which provide higher specific stiffness than honeycomb cores. Triangular cores were identified to have higher specific in-plane moduli and equivalent specific out-of-plane and transverse shear moduli. To consider practical use of the triangular cores, elastic and elastic-plastic structural analysis was performed to evaluate the stiffness, strength, failure, and energy absorption characteristics of both the core and sandwich panels. The comparison made between triangular cores and hexagonal cores having the same cell size and relative density showed that triangular cores outperform hexagonal cores in elastic range and for applications where in-plane loading is dominant. Triangular cores also have excellent in-plane energy absorption capabilities at higher densities. / Master of Science

A better understanding of the effect of impact damage on composite structures is necessary to give the engineer an ability to design safe, efficient structures. Current composite structures suffer severe strength reduction under compressive loading conditions, due to even light damage, such as from low velocity impact. A review is undertaken to access the current state-of-development in the areas of experimental testing, and analysis methods. A set of experiments on Nomex honeycomb core sandwich panels, with thin woven fiberglass cloth facesheets, is described, which includes detailed instrumentation and unique observation techniques. These techniques include high speed video photography of compression after impact (CAI) failure, as well as, digital image correlation (DIC) for full-field deformation measurements. The effect of nominal core density on the observed failure mode is described. A finite element model (FEM) is developed to simulate the experiments performed in the current study. The purpose of this simulation is to predict the experimental test results, and to conrm the experimental test conclusions. A newly-developed, commercial implementation of the Multicontinuum Failure Theory (MCT) for progressive failure analysis (PFA) in composite laminates, Helius:MCT, is included in this model. The inclusion of PFA in the present model gives it the new, unique ability to account for multiple failure modes. In addition, significant impact damage detail is included in the model as a result of a large amount of easily available experimental test data. A sensitivity study is used to assess the effect of each damage detail on overall analysis results. Mesh convergence of the new FEM is also discussed. Analysis results are compared to the experimental results for each of the 32 CAI sandwich panel specimens tested to failure. The failure of each specimen is accurately predicted in a high-fidelity, physics-based simulation and the results highlight key improvements in the understanding of honeycomb core sandwich panel CAI failure. Finally, a parametric study highlights the strength benefits compared to mass penalty for various core densities. / Ph. D.

Les panneaux sandwichs sont des éléments de structure omniprésents au quotidien. Leur efficacité structurelle n'est plus à démontrer. Elle est même un élément déterminant dans le marché qui leur est associé. Ce mémoire de doctorat s'intéresse à un nouveau type d 'âme de panneau sandwich qui pourrait être amené à supplanter le nid d'abeilles dans certaines applications, le module à chevrons. L'objectif est donc de pouvoir faire une estimation précise du comportement de ces nouvelles âmes. Cependant le gain en efficacité structurelle des panneaux sandwichs se paye par une augmentation considérable de la complexité de leur comportement mécanique. C'est en particulier le cas de la raideur à l'effort tranchant qui est déterminante pour estimer l'efficacité d'une âme de panneau sandwich. Ainsi, ce travail nous a amené à reconsidérer en profondeur les méthodes pour calculer le comportement à l'effort tranchant des plaques en général. Il nous a conduit à proposer une nouvelle théorie des plaques ainsi qu'une méthode d'homogénéisation associée dans le cas périodique. Cette théorie peut être considérée comme l'extension de la théorie bien connue de Reissner-Mindlin au cas des plaques hétérogènes. Elle ne peut cependant pas être réduite au mod èle de Reissner-Mindlin dans le cas général. Dans le cas particulier des panneaux sandwichs incluant le module à chevrons, l'application de cette méthode d'homogénéisation permet de mettre en évidence un phénomène de distorsion des peaux qui affecte de façon notable la raideur à l'effort tranchant de ces panneaux / Sandwich panels are widespread in everyday life. Their structural efficiency is well-known and is a central criterion in possible applications. This Ph.D. thesis is dedicated to the study of a new sandwich panel core which might replace honeycomb in some applications: the chevron pattern. In order to compare this new core to other ones, an accurate knowledge of its mechanical behavior is necessary. However, the price for structural efficiency is a more complex mechanical behavior. This is the case for the shear forces stiffness which is critical when comparing sandwich panels cores. Thus, in this work we reconsider in details and in the general case how to derive plates behavior under shear forces. A new plate theory is suggested as well as the related homogenization scheme for periodic plates. This plate theory is the extension of the well-known Reissner-Mindlin plate theory in the case of heterogeneous plates. However, it cannot be reduced to a Reissner-Mindlin plate theory in the general case. In the special case of sandwich panels including the chevron pattern, applying the homogenization scheme brings out a skins distorsion phenomenon which affects a lot their shear forces stiffness

O presente trabalho objetivou desenvolver e implementar, em escala laboratorial, uma rotina experimental com base em Imageamento por Ressonância Magnética Nuclear (IRMN) de modo a verificar seu potencial como metodologia não-destrutiva aplicável à inspeção quali- e quantitativa de água e hidrocarbonetos líquidos aprisionados no interior de células de núcleos-colméia utilizados na confecção de painéis-sanduíche compósitos estruturais de grau aeronáutico. Tentativas foram também realizadas no sentido de se observarem e caracterizarem danos por amassamento de núcleos-colméia, assim como de se detectar a presença de resina polimérica na forma sólida, visando, desta feita, verificar o uso do IRMN na inspeção de componentes previamente reparados e/ou contendo excesso de resina por falha do processo de manufatura. Concluiu-se que IRMN é uma poderosa ferramenta para a detecção e a quantificação de líquidos puros e compostos, ricos em hidrogênio, contidos nas células de núcleos de amostras extraídas de painéis-sanduíche compósitos. O potencial do IRMN na identificação, e, portanto, na discriminação entre os diversos fluidos se mostrou bastante promissor, desde que se empreguem ferramentas de processamento e análise computadorizada de imagens a partir de programas computacionais de reconhecimento de padrões via redes neurais artificiais e/ou sistemas com base em conhecimento. A técnica de IRMN utilizada neste estudo não permitiu a captura de imagens de resina polimérica sólida, nem mesmo quando à esta foram adicionadas cargas de elementos intensificadores de sinais de RMN, tais como ferro e gadolíneo. Danos no núcleo-colméia tão pequenos quanto 1,0 mm de profundidade e 1,8 mm de diâmetro foram clara e inequivocamente imageados e delineados pela técnica IRMN, desde que estivessem permeados por fluido hidrogenado (ex. água). A quantificação de líquidos nos núcleos-colméia por intermédio de ferramentas computacionais simples (processadores e analisadores de imagens) foi muito bem sucedida no caso dos líquidos com relativamente alto ponto de fulgor, pois as massas fluidas se mantiveram constantes por períodos de tempo significativamente longos no interior das células analisadas. / This work intended to develop and implement in laboratorial scale an experimental routine funded in Nuclear Magnetic Resonance Imaging (NMRI) in order to verify its potential as a non-destructive methodology for quali- and quantitative inspection of liquid water and hydrocarbons entrapped in honeycomb core cells utilized to build up aeronautical grade structural composite sandwich panels. Attempts were also carried out to observe and characterize crush damage of honeycomb core, as well as to detect solid polymer resin towards the use of NMRI to assess previously repaired components and/or containing in excess resin amount due to manufacturing process faults. It has been concluded that NMRI is a powerful tool in detecting and quantifying hydrogen-rich pure and compound liquids contained in core cells of composite sandwich samples. The NMRI potential in identifying and, therefore, discriminating several fluids has shown very promising as long as computed image processing and analysis tools are employed from pattern recognition software via artificial neural networks and/or knowledge-based systems. The utilized NMRI technique failed in imaging solid polymer resin, even when the latter was loaded with NMR-signal intensifier elements such as iron and gadolinium. Honeycomb core damages as small as 1.0 mm in depth and 1.8 mm in diameter were clearly and unambiguously imaged and delineated by the NMRI technique since they were permeated with hydrogenated fluid (ex., water). The quantification of liquids in honeycomb cores by means of simple computational tools (image processor and analyzer) was very successful in case of relatively high flash point fluids, insofar as their masses remained constant within the analyzed cells for significantly long periods of time.

Painéis sanduíche são largamente utilizadas em diversas aplicações de engenharia e o estudo de suas propriedades é fundamental para a ampliação de sua utilização. Neste trabalho, foram estudados painéis sanduíche com núcleo de poliuretano e faces de fibra de vidro fabricados pelo processo de laminação contínua. Na primeira configuração, as faces do painel foram fabricadas com manta de fibra de vidro e resina poliéster, com 39% de teor de vidro em massa e espessura de 1,9 mm. Na segunda configuração, as faces do painel foram fabricadas com tecido de fibra de vidro e resina poliéster, com 54% de teor de vidro em massa e espessura de 1,2 mm. Realizou-se o cálculo das propriedades mecânicas de cada compósito no programa MECH-Gcomp. As propriedades do núcleo foram retiradas, inicialmente, da literatura. Então, foi possível realizar a avaliação dos painéis pelo método dos elementos finitos utilizando elementos sólidos, comparando o comportamento dos dois tipos de painéis em relação aos carregamentos de compressão de núcleo, de compressão longitudinal e de flexão. Foram realizados ensaios nas faces isoladas e também nos painéis sanduíche completos. Para as faces, os ensaios foram de teor mássico de fibra de vidro, tração, compressão e cisalhamento Iosipescu, conforme as normas ASTM D5630, D3039/D3039M, D6641/D6641M e D7078/D7078M, respectivamente. Já para os painéis sanduíche, foram realizados os ensaios de compressão de núcleo, compressão longitudinal (edgewise) e cisalhamento do núcleo utilizando flexão, conforme as normas ASTM C365/C365M, C364/C364M e C393/C393M, respectivamente. Após os ensaios, foram calibrados os modelos do MEF, permitindo que os mesmos possam calcular outras configurações similares de painel sanduíche. Foi utilizado o programa Autodesk Simulation Composite Design para realizar a validação do ensaio de cisalhamento do núcleo. Concluiu-se que a análise de elementos finitos foi confiável em representar de forma realista o comportamento dos painéis sanduíche e a redução na espessura das faces do painel pode ser compensada com o aumento da sua resistência mecânica e rigidez por meio do aumento no teor mássico de reforço e trabalhando com a orientação do mesmo. / Sandwich panels are widely used in a variety of engineering applications and the study of their properties is fundamental for the expansion of their use. In this work, we studied sandwich panels with polyurethane core and fiberglass faces manufactured by the continuous lamination process. In the first configuration, the panel faces were made of fiberglass and polyester resin, with 39% glass content by mass and 1.9 mm thickness. In the second configuration, the panel faces were fabricated from fiberglass fabric and polyester resin, with 54% glass content by mass and 1.2 mm thickness. The mechanical properties of each composite were calculated in the MECH-Gcomp software. The properties of the core were initially taken from the literature. Then, it was possible to evaluate the panels by the finite element method using solid elements, comparing the behavior of the two types of panels in relation to the core compression loads, edgewise compression and bending. Tests were performed on the faces and also on the complete sandwich panels. For the faces, the tests were fiberglass mass content, tensile, compression and Iosipescu shear, according to ASTM D5630, D3039/D3039M, D6641/D6641M and D7078/D7078M, respectively. For sandwich panels, core compression, edgewise compression and core shear using bending tests were performed according to ASTM C365/C365M, C364/C364M and C393/C393M, respectively. After the tests, the FEM models were calibrated, allowing them to calculate other similar sandwich panel configurations. It was used Autodesk Simulation Composite Design software to validate the core shear test. It was concluded that the analysis of finite elements was reliable in realistically representing the behavior of the sandwich panels and the reduction in the thickness of the panel faces can be compensated with the increase of its mechanical resistance and stiffness by increasing the mass content of reinforcement and working with the orientation of the same.

A lightweight carbon fiber reinforced polymer (CFRP) sandwich panel has been developed for floor use in commercial office building construction. CFRP laminate skins were combined with low-density rigid polyurethane foam to create a composite sandwich panel suitable for floor use. The CFRP sandwich panel was optimized to withstand code prescribed office-building live loads using a 3D finite element computer program called SolidWorks. The thickness of the polyurethane foam was optimized to meet both strength and serviceability requirements for gravity loading. Deflection ultimately was the controlling factor in the design, as the stresses in the composite materials remained relatively low. The CFRP sandwich panel was then subjected to combined gravity and lateral loading, which included seismic loads from a fictitious 5-story office building located in a region of high seismic risk. The results showed that CFRP sandwich panels are a viable option for use with floors, possessing sufficient strength and stiffness for meeting code prescribed design loads, while providing significant benefits over traditional construction materials.

Painéis sanduíche são largamente utilizadas em diversas aplicações de engenharia e o estudo de suas propriedades é fundamental para a ampliação de sua utilização. Neste trabalho, foram estudados painéis sanduíche com núcleo de poliuretano e faces de fibra de vidro fabricados pelo processo de laminação contínua. Na primeira configuração, as faces do painel foram fabricadas com manta de fibra de vidro e resina poliéster, com 39% de teor de vidro em massa e espessura de 1,9 mm. Na segunda configuração, as faces do painel foram fabricadas com tecido de fibra de vidro e resina poliéster, com 54% de teor de vidro em massa e espessura de 1,2 mm. Realizou-se o cálculo das propriedades mecânicas de cada compósito no programa MECH-Gcomp. As propriedades do núcleo foram retiradas, inicialmente, da literatura. Então, foi possível realizar a avaliação dos painéis pelo método dos elementos finitos utilizando elementos sólidos, comparando o comportamento dos dois tipos de painéis em relação aos carregamentos de compressão de núcleo, de compressão longitudinal e de flexão. Foram realizados ensaios nas faces isoladas e também nos painéis sanduíche completos. Para as faces, os ensaios foram de teor mássico de fibra de vidro, tração, compressão e cisalhamento Iosipescu, conforme as normas ASTM D5630, D3039/D3039M, D6641/D6641M e D7078/D7078M, respectivamente. Já para os painéis sanduíche, foram realizados os ensaios de compressão de núcleo, compressão longitudinal (edgewise) e cisalhamento do núcleo utilizando flexão, conforme as normas ASTM C365/C365M, C364/C364M e C393/C393M, respectivamente. Após os ensaios, foram calibrados os modelos do MEF, permitindo que os mesmos possam calcular outras configurações similares de painel sanduíche. Foi utilizado o programa Autodesk Simulation Composite Design para realizar a validação do ensaio de cisalhamento do núcleo. Concluiu-se que a análise de elementos finitos foi confiável em representar de forma realista o comportamento dos painéis sanduíche e a redução na espessura das faces do painel pode ser compensada com o aumento da sua resistência mecânica e rigidez por meio do aumento no teor mássico de reforço e trabalhando com a orientação do mesmo. / Sandwich panels are widely used in a variety of engineering applications and the study of their properties is fundamental for the expansion of their use. In this work, we studied sandwich panels with polyurethane core and fiberglass faces manufactured by the continuous lamination process. In the first configuration, the panel faces were made of fiberglass and polyester resin, with 39% glass content by mass and 1.9 mm thickness. In the second configuration, the panel faces were fabricated from fiberglass fabric and polyester resin, with 54% glass content by mass and 1.2 mm thickness. The mechanical properties of each composite were calculated in the MECH-Gcomp software. The properties of the core were initially taken from the literature. Then, it was possible to evaluate the panels by the finite element method using solid elements, comparing the behavior of the two types of panels in relation to the core compression loads, edgewise compression and bending. Tests were performed on the faces and also on the complete sandwich panels. For the faces, the tests were fiberglass mass content, tensile, compression and Iosipescu shear, according to ASTM D5630, D3039/D3039M, D6641/D6641M and D7078/D7078M, respectively. For sandwich panels, core compression, edgewise compression and core shear using bending tests were performed according to ASTM C365/C365M, C364/C364M and C393/C393M, respectively. After the tests, the FEM models were calibrated, allowing them to calculate other similar sandwich panel configurations. It was used Autodesk Simulation Composite Design software to validate the core shear test. It was concluded that the analysis of finite elements was reliable in realistically representing the behavior of the sandwich panels and the reduction in the thickness of the panel faces can be compensated with the increase of its mechanical resistance and stiffness by increasing the mass content of reinforcement and working with the orientation of the same.