Concrete is a widely used product and is an important application throughout industry due to its inexpensive cost and wide range of applications. This work focuses on understanding the behavior of high strength concrete in high strain rate ballistic impact loading scenarios. A finite element analysis was created with the implementation of the Concrete Damage and Plasticity Model 2 (CDPM2) to represent the material behavior. The model’s parameters were calibrated to existing literature and the results were analyzed by a comparison of the impact velocity to residual velocity and a qualitative assessment of the impact crater. The model captured the impact dynamics of the contact between the projectile and the concrete target with defined fracture patterns. Impact velocity and target thickness indicated a relatively linear relationship with the final projectile velocity.

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No description available.

The mechanical behavior of discrete atoms has been studied with molecular dynamics whose computational time is proportional to the square of the number of atoms, O(N²). Recently, a faster algorithm, Atomic-scale Finite Element Method (AFEM) with computational time proportional to the number of atoms, O(N), had been developed. The main idea of AFEM, compared with conventional finite element method is to replace nodes with atoms and elements with electric forces between atoms. When interpreting a non-linear system, it is necessary to use an iteration scheme. A simulation of molecular dynamics based on the Verlet's method was conducted in order to validate AFEM in one dimension. The speed of AFEM was investigated in one and two dimensional atomic systems. The results showed that the computational time of AFEM is approximately proportional to the number of atoms, and the absolute computation time appears to be small. The frameworks of AFEM not only for multi-body potential but also pair potential are presented. Finally, AFEM was applied to analyze and interpret the mechanical behavior of a carbon nanotube and a quartz. The buckling behavior of carbon nanotube showed a good agreement with the results illustrated in the original literature. / Master of Science

The demand for energy from developed and developing economies of the world is driving the search for energy resources to more challenging environments. The exploration and exploitation of hydrocarbons now requires the drillbit to hit pay zones from drillships or platforms that are located on water surfaces below which is, possibly, in excess of ten thousand feet of water above the sea bed. From Brazil, to the Gulf of Mexico and the Gulf of Guinea on the western coast of Africa, hitherto unfamiliar, but now common, concepts in the drilling parlance such as ultra-deep drilling (UDD), ultraextended- reach drilling (uERD) and slimhole drilling, are employed to reach and produce reservoirs which a few decades ago would seem technologically impossible to produce. This is expected to exert tremendous demands on the physical and mechanical properties of the drillstring components. Limiting factors for reaching and producing oil and gas resources hidden very deep in the subsurface are both the capacity of the drilling rig to support the weight of the drillstring, which in some instances can be several kilometres long, and the bending, tensile and impact stresses the string has to withstand in well trajectories that are getting both longer and more tortuous. Associated with this increased well depths and complex well trajectories is the prohibitive cost penalty of a failed drillstring. The in-service failure of drillstrings has always been an issue in the industry long before the wells become this deep and complex. The global oil and gas industry estimates the cost of string failure to be in excess of quarter of a billion dollars annually. Researchers are continuously looking for ways to design against string failure and improve the level of confidence in drillstrings. Defect-tolerant design, tooljoint geometry modification and surface coldworking are just a few of the ideas that have gained mileage in this effort. Others that are now in consideration are the use of nonconventional materials such as aluminium and titanium alloys for drillstring components. More novel, still, is the use of a combination of two materials - one ‘softer’ than the other to form a hybrid string of two materials of unequal moduli of elasticity. This is done to make the string lighter, reduce stress concentration factor at the connections and place fatigue resistant materials in areas of high well bore curvature.In this work a computational technique in the form of two-dimensional finite element analysis is used to develop a robust model of a drillstring connection and to analyse the stresses on the model of a threaded connection of standard drillstring tooljoint made from alloy steel. Further comparative analyses were undertaken on models of drillstrings made from a newly developed drillstring material for ultra-deep drilling, the UD-165, aluminium and titanium alloys and, finally, on hybrid drillstrings made from two different materials of unequal moduli of elasticity. The aim is not only to develop and validate a better method of computational drillstring analysis but also to use the model to investigate and suggest areas of optimisation that will benefit industry especially in the areas hybrid strings.

Multibody System Dynamics has been responsible for revolutionizing Mechanical Engineering Design by using mathematical models to simulate and optimize the dynamic behavior of a wide range of mechanical systems. These mathematical models not only can provide valuable informations about a system that could otherwise be obtained only by experiments with prototypes, but also have been responsible for the development of many model-based control systems. This work represents a contribution for dynamic modeling of multibody mechanical systems by developing a novel recursive modular methodology that unifies the main contributions of several Classical Mechanics formalisms. The reason for proposing such a methodology is to motivate the implementation of computational routines for modeling complex multibody mechanical systems without being dependent on closed source software and, consequently, to contribute for the teaching of Multibody System Dynamics in undergraduate and graduate levels. All the theoretical developments are based on and motivated by a critical literature review, leading to a general matrix form of the dynamic equations of motion of a multibody mechanical system (that can be expressed in terms of any set of variables adopted for the description of motions performed by the system, even if such a set includes redundant variables) and to a general recursive methodology for obtaining mathematical models of complex systems given a set of equations describing the dynamics of each of its uncoupled subsystems and another set describing the constraints among these subsystems in the assembled system. This work also includes some discussions on the description of motion (using any possible set of motion variables and admitting any kind of constraint that can be expressed by an invariant), and on the conditions for solving forward and inverse dynamics problems given a mathematical model of a multibody system. Finally, some examples of computational packages based on the novel methodology, along with some case studies, are presented, highlighting the contributions that can be achieved by using the proposed methodology. / A Dinâmica de Sistemas Multicorpos tem sido responsável por revolucionar projetos de Engenharia Mecânica pela utilização de modelos matemáticos para simulação e otimização do comportamento dinâmico de uma ampla gama de sistemas mecânicos. Estes modelos matemáticos não somente podem fornecer valiosas informações acerca de um sistema que caso contrário poderiam ser obtidas somente através de experimentos com protótipos, como também têm sido responsável pelo desenvolvimento de diversos sistemas de controle baseados em modelo. Este trabalho representa uma contribuição para a modelagem dinâmica de sistemas mecânicos multicorpos por meio do desenvolvimento de uma nova metodologia modular e recursiva que unifica as principais contribuições de diversos formalismos da Mecânica Clássica. A razão para propor tal metodologia é motivar a implementação de rotinas computacionais para a modelagem de sistemas mecânicos multicorpos complexos sem depender de pacotes de software de código fechado e, consequentemente, contribuir para o ensino de Dinâmica de Sistemas Multicorpos nos níveis de graduação e pós-graduação. Todos os desenvolvimentos teóricos são baseados em e motivados por uma revisão crítica da literatura, conduzindo a uma forma matricial geral das equações dinâmicas de movimento de um sistema mecânico multicorpos (que podem ser expressas em termos de qualquer conjunto de variáveis adotado para a descrição dos movimentos realizados pelo sistema, ainda que tal conjunto inclua variáveis redundantes) e a uma metodologia recursiva geral para a obtenção de modelos matemáticos de sistemas complexos, dado um conjunto de equações descrevendo a dinâmica de cada um de seus subsistemas desacoplados e outro descrevendo os vínculos entre estes subsistemas (no sistema) quando acoplado. Este trabalho também inclui algumas discussões acerca da descrição de movimentos (utilizando qualquer conjunto admissível de variáveis de movimento e admitindo qualquer tipo de vínculo que seja passível de descrição por invariantes), e das condições para a solução dos problemas de dinâmica direta e inversa dado um modelo matemático de um sistema multicorpos. Finalmente, alguns exemplos de pacotes computationais baseados na nova metodologia, juntamente com alguns estudos de caso, são apresentados, ressaltando as contribuições que podem ser alcançadas por meio do uso da metodologia proposta.

Multibody System Dynamics has been responsible for revolutionizing Mechanical Engineering Design by using mathematical models to simulate and optimize the dynamic behavior of a wide range of mechanical systems. These mathematical models not only can provide valuable informations about a system that could otherwise be obtained only by experiments with prototypes, but also have been responsible for the development of many model-based control systems. This work represents a contribution for dynamic modeling of multibody mechanical systems by developing a novel recursive modular methodology that unifies the main contributions of several Classical Mechanics formalisms. The reason for proposing such a methodology is to motivate the implementation of computational routines for modeling complex multibody mechanical systems without being dependent on closed source software and, consequently, to contribute for the teaching of Multibody System Dynamics in undergraduate and graduate levels. All the theoretical developments are based on and motivated by a critical literature review, leading to a general matrix form of the dynamic equations of motion of a multibody mechanical system (that can be expressed in terms of any set of variables adopted for the description of motions performed by the system, even if such a set includes redundant variables) and to a general recursive methodology for obtaining mathematical models of complex systems given a set of equations describing the dynamics of each of its uncoupled subsystems and another set describing the constraints among these subsystems in the assembled system. This work also includes some discussions on the description of motion (using any possible set of motion variables and admitting any kind of constraint that can be expressed by an invariant), and on the conditions for solving forward and inverse dynamics problems given a mathematical model of a multibody system. Finally, some examples of computational packages based on the novel methodology, along with some case studies, are presented, highlighting the contributions that can be achieved by using the proposed methodology. / A Dinâmica de Sistemas Multicorpos tem sido responsável por revolucionar projetos de Engenharia Mecânica pela utilização de modelos matemáticos para simulação e otimização do comportamento dinâmico de uma ampla gama de sistemas mecânicos. Estes modelos matemáticos não somente podem fornecer valiosas informações acerca de um sistema que caso contrário poderiam ser obtidas somente através de experimentos com protótipos, como também têm sido responsável pelo desenvolvimento de diversos sistemas de controle baseados em modelo. Este trabalho representa uma contribuição para a modelagem dinâmica de sistemas mecânicos multicorpos por meio do desenvolvimento de uma nova metodologia modular e recursiva que unifica as principais contribuições de diversos formalismos da Mecânica Clássica. A razão para propor tal metodologia é motivar a implementação de rotinas computacionais para a modelagem de sistemas mecânicos multicorpos complexos sem depender de pacotes de software de código fechado e, consequentemente, contribuir para o ensino de Dinâmica de Sistemas Multicorpos nos níveis de graduação e pós-graduação. Todos os desenvolvimentos teóricos são baseados em e motivados por uma revisão crítica da literatura, conduzindo a uma forma matricial geral das equações dinâmicas de movimento de um sistema mecânico multicorpos (que podem ser expressas em termos de qualquer conjunto de variáveis adotado para a descrição dos movimentos realizados pelo sistema, ainda que tal conjunto inclua variáveis redundantes) e a uma metodologia recursiva geral para a obtenção de modelos matemáticos de sistemas complexos, dado um conjunto de equações descrevendo a dinâmica de cada um de seus subsistemas desacoplados e outro descrevendo os vínculos entre estes subsistemas (no sistema) quando acoplado. Este trabalho também inclui algumas discussões acerca da descrição de movimentos (utilizando qualquer conjunto admissível de variáveis de movimento e admitindo qualquer tipo de vínculo que seja passível de descrição por invariantes), e das condições para a solução dos problemas de dinâmica direta e inversa dado um modelo matemático de um sistema multicorpos. Finalmente, alguns exemplos de pacotes computationais baseados na nova metodologia, juntamente com alguns estudos de caso, são apresentados, ressaltando as contribuições que podem ser alcançadas por meio do uso da metodologia proposta.

La certification des aéronefs au crash ou à l’atterrissage dur nécessite de concevoir et dimensionner des structureslégères vérifiant les exigences d’absorption d’énergie. Le critère de performance est l’énergie d’absorptionspécifique (Specific Energy Absorption, SEA). Nos travaux expérimentaux et numériques visent une meilleurecompréhension de la contribution favorable ou défavorable des modes de ruine à la stabilité et à l’amplitude del’énergie consommée. Le travail expérimental, réalisé sur des échantillons plaques stratifiées en T700/M21 faible grammage et interlock 55% ou 100%, compare les niveaux et les évolutions des forces d’écrasement avec l’apparition et le maintien desmodes de ruine majeurs que sont l’évasement, les fragmentations en coeur de plis et localisée en bout de pli.L’observation et la mesure des processus dynamiques de fragmentation représentent un verrou contourné ici parune analyse point à point de la synchronisation entre les films des essais et les courbes force-déplacement, et parl’observation post-mortem des échantillons, des débris et des fragments. Les plaques ont une performance àl’écrasement sensible à l’épaisseur des plis et aux vitesses de déformation. Pour les interlocks, c’est le sens detissage qui a le plus d’effet sur l’amplitude et la stabilité de la SEA, et génère un évasement global plus instable.La simulation numérique dynamique transitoire non-linéaire est utilisée comme outil complémentaire de mesureet d’analyse des essais sur plaques T700/M21 [0°/90°]. La morphologie d’écrasement est bien reproduite.L’analyse des processus de ruine à l’échelle du pli fait apparaître l’interaction entre la résistance mécanique encompression transverse du matériau (Yc) et la résistance à la déchirure en cisaillement de la structure (GIIc), etl’articulation et/ou la compétition entre évasement et fragmentation en cœur de pli qui en découlent. La mesurede la contribution des trois modes de ruine dans l’énergie consommée effectuée au travers de l’évolution desseuils de ruine permet de suivre l’évolution correspondante de l’effort d’écrasement. Une étude a été menée surla robustesse du modèle, et permet d’évaluer plus généralement la sensibilité en amplitude et en stabilité de laSEA aux propriétés de résistance mécanique identifiées comme influentes. / The certification of aircrafts to hard landing or crash situations needs to design lightweight structures meetingrequirements in term of energy absorption. The Specific Energy Absorption (SEA) is used to compare theperformance of different structures. Experimental and numerical studies led in our work aim to improve theunderstanding of the influence of ruin modes on the crushing stability and the energy absorption capacity.Crushing experimental tests are carried on low-weight T700/M21 CFRP laminated plates and on 55% or 100%Interlock configurations. The crushing force value and its variations are compared to the proportion of inside plyfragmentation, localized fragmentation and splaying mode observed during the crushing process. The observationand the measure of the dynamic process of fragmentation are lock problems circumvented by two means. First, astep by step observation of synchronized tests’ pictures and force-displacement points is conducted. Second, apost-mortem observation of the specimen and a collect of debris and fragments is carried out. It is shown thatcomposite laminates behaviour is influenced by the ply thickness and the strain-rate parameters. For the Interlock,the woven directions have the most important effect on the SEA value and stability and can produce a globalfragmented splaying with some instability. Nonlinear transient dynamic numerical simulations are used as an additional tool to measure and analyse the experimental tests on T700/M21 [0°/90°] plates. The crushing morphology is correctly reproduced. The analysis of damage at the mesoscale shows the interaction between the mechanical transverse compressive strength of thematerial (Yc) and the shear strength of interfaces between plies (GIIc), and the link and/or the competition betweensplaying and inside ply fragmentation. The measure of the contribution of the three ruin modes in the dissipatedenergy is performed and linked to the variations of the crushing force. A study is carried out on the robustness ofthe model and allows linking the SEA value and stability to the mechanical strength properties identified asinfluential parameters.

The demand for energy from developed and developing economies of the world is driving the search for energy resources to more challenging environments. The exploration and exploitation of hydrocarbons now requires the drillbit to hit pay zones from drillships or platforms that are located on water surfaces below which is, possibly, in excess of ten thousand feet of water above the sea bed. From Brazil, to the Gulf of Mexico and the Gulf of Guinea on the western coast of Africa, hitherto unfamiliar, but now common, concepts in the drilling parlance such as ultra-deep drilling (UDD), ultraextended- reach drilling (uERD) and slimhole drilling, are employed to reach and produce reservoirs which a few decades ago would seem technologically impossible to produce. This is expected to exert tremendous demands on the physical and mechanical properties of the drillstring components. Limiting factors for reaching and producing oil and gas resources hidden very deep in the subsurface are both the capacity of the drilling rig to support the weight of the drillstring, which in some instances can be several kilometres long, and the bending, tensile and impact stresses the string has to withstand in well trajectories that are getting both longer and more tortuous. Associated with this increased well depths and complex well trajectories is the prohibitive cost penalty of a failed drillstring. The in-service failure of drillstrings has always been an issue in the industry long before the wells become this deep and complex. The global oil and gas industry estimates the cost of string failure to be in excess of quarter of a billion dollars annually. Researchers are continuously looking for ways to design against string failure and improve the level of confidence in drillstrings. Defect-tolerant design, tooljoint geometry modification and surface coldworking are just a few of the ideas that have gained mileage in this effort. Others that are now in consideration are the use of nonconventional materials such as aluminium and titanium alloys for drillstring components. More novel, still, is the use of a combination of two materials - one ‘softer’ than the other to form a hybrid string of two materials of unequal moduli of elasticity. This is done to make the string lighter, reduce stress concentration factor at the connections and place fatigue resistant materials in areas of high well bore curvature.In this work a computational technique in the form of two-dimensional finite element analysis is used to develop a robust model of a drillstring connection and to analyse the stresses on the model of a threaded connection of standard drillstring tooljoint made from alloy steel. Further comparative analyses were undertaken on models of drillstrings made from a newly developed drillstring material for ultra-deep drilling, the UD-165, aluminium and titanium alloys and, finally, on hybrid drillstrings made from two different materials of unequal moduli of elasticity. The aim is not only to develop and validate a better method of computational drillstring analysis but also to use the model to investigate and suggest areas of optimisation that will benefit industry especially in the areas hybrid strings.

No description available.