Este trabalho apresenta uma metodologia de otimização topológica de atuadores piezelétricos em estruturas compostas laminada com o objetivo de atenuar as vibrações estruturais induzidas por excitações externas. Para isso, utiliza-se técnicas de controle ótimo, como o regulador linear quadrático (LQR) e o controlador linear quadrático gaussiano (LQG). Os estados não mensuráveis são estimados através do uso de observadores de estados de ordem completa, usando o filtro de Kalman para a escolha ótima da matriz de ganhos do observador de estados. O problema de otimização topológica é formulado para a localização ótima do atuador piezelétrico composto MFC (Macro Fiber Composite) na camada ativa da placa, determinando a localização mais vantajosa do material MFC através da maximização do índice de controlabilidade. Para o modelo estrutural, é proposto neste trabalho um modelo para a interação entre o atuador MFC e a estrutura. Assume-se que o MFC é uma das lâminas de material ortotrópico que sofre uma deformação inicial a partir da aplicação de um potencial elétrico e que essa deformação terá efeitos sobre o restante da estrutura. Dessa maneira, não é necessário modelar o campo elétrico gerado através dos eletrodos, uma vez que o efeito eletromecânico é considerado analiticamente. A rigidez e a massa do atuador MFC são considerados no modelo estrutural. Os resultados numéricos mostram que o modelo estrutural proposto para representar a interação entre o atuador MFC e a estrutura apresenta boa concordância com resultados experimentais e numéricos encontrados. Além disso, os resultados mostram que a partir do posicionamento ótimo do atuador MFC na estrutura, a técnica de controle implementada permite atenuar as vibrações estruturais. As simulações para uma força de um degrau unitário permitem concluir que a estratégia de controle usando o controlado LQG apresenta melhor desempenho em termos de tempo de assentamento, sobre resposta, amortecimento e sinal de controle, quando comparado com o controlador LQR. / This work presents a topologic optimization methodology of piezoelectric actuators in laminated composite structures with the objective of controlling external perturbation induced by structural vibrations. The Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) optimal control techniques are used. The states are estimated through of the full order state observers, using the Kalman filter to the observer gain matrix. The topology optimization is formulated to find the optimum localization of the Macro Fiber Composite (MFC) active piezoelectric patch, determining the most advantageous location of the MFC, through of the maximization of the controllability index. For the structural model, this work proposes a simplified MFC/structure interaction model. It is assumed that the MFC is one of the orthotropic material layers which has an initial strain arising from the application of an electric potential; this strain acts on the remainder of the structure. This way, modeling the electromechanical interaction between the piezoelectric material and the electric field is unnecessary because this effect is considered analytically. Both the stiffness and the mass of the MFC are taken into account in the structural model. Numerical results show that proposed MFC-structure interaction model presents good agreement with experiments and numerical simulations of models that uses the electromechanical effect. Actuator location optimization results show that the technique implemented improves the structural vibration damping. The response simulations to an unit step force allows to conclude that the control strategy using the LQG controller presents better performance in terms of settling time, overshoot, damping and control signal energy when compared to the LQR controller.

O estudo numérico do comportamento estrutural de materiais compostos apresenta-se, desde os últimos anos, como um campo muito fértil de pesquisas, o que justifica o crescimento exponencial de trabalhos científicos nesta área. Atualmente é possível desenhar as propriedades físicas do material adequando-os ao uso que se queira dar a eles. Especificamente quanto às propriedades mecânicas vinculadas a função estrutural que o material em estudo possa ter, estas podem, na atualidade, ser quantificadas, modificadas e otimizadas. No presente trabalho, explora-se um material composto formado por uma matriz polimérica e uma segunda fase particulada com distribuição aleatória. Para realizar esse estudo foi utilizado o método dos elementos discretos e o método dos elementos finitos. No primeiro caso é apresentado um estudo onde se realizam tentativas de determinar o elemento de volume representativo considerando o comportamento do material como não-linear. No segundo caso, aplicando o método dos elementos finitos, realiza-se um estudo considerando a matriz e a fase particulada com comportamento elástico linear, determinando o elemento de volume representativo e comparando os resultados, em termos de constantes elásticas homogeneizadas, com propostas teóricas fornecidas pela micromecânica clássica. Um estudo da convergência da malha e exercícios de otimização foram realizados sobre o composto simulado. Finalmente, realiza-se um estudo não-linear através do método dos elementos finitos, onde a matriz é elástica e a fase particulada hiperelástica, onde se determina o elemento de volume representativo e se faz aplicações para verificação da eficácia dos resultados. / The numerical study of the composite material mechanical behavior has shown lately a fertile field of research, which justifies the exponential growing of scientific works in this area. Nowadays it is possible to design the material properties adapting them to the usage that we want to give them. Specifically, regarding to the mechanical properties, there are methods that allow us to modify them in a rational way to reach different objectives. In the present work, different aspects are analyzed of a composite material built with a polymeric matrix and a second particulate phase with random distribution. The Discrete Element Method (DEM) and the Finite Element Method (FEM) were used to carry out the present work. Firstly, an application of DEM, a study of different alternatives is shown to determine the volume representative element (RVE) considering the non-linear behavior of the studied material. Secondly, an application of FEM, a study considering the matrix and particulate phase, both, with linear elastic behavior. This application consists on computing the RVE and comparing these results with analytical proposals available in the Micromechanics classical bibliography. A mesh convergence study of the FEM models used and simple applications of optimization are also presented. Finally, another application of FEM is presented. In this case a non linear study is shown, where the matrix is considered linear elastic, and the particulate phase is hyperelastic. In this case the RVE was determined and some applications to verify the consistency of the results obtained are presented.

O presente trabalho trata do estudo, análise, construção e teste de uma nova configuração para um atuador planar. O dispositivo, que apresenta uma movimentação sobre o plano com dois graus de liberdade a partir de um único dispositivo de tração, é formado por um carro, também chamado de primário, que apresenta dois enrolamentos trifásicos independentes, ortogonais entre si, montados em um núcleo ranhurado de material compósito magneticamente macio de grão isolado; e por um estator, também chamado de secundário, formado por uma chapa de alumínio plana montada sobre um núcleo ferromagnético igualmente plano, formando a área de trabalho ou de movimentação do primário. Através de um acionamento trifásico, os enrolamentos produzem campos magnéticos viajantes, fazendo com que correntes elétricas induzidas apareçam nos materiais eletricamente condutores do secundário. A interação entre os campos magnéticos e as correntes induzidas proporciona o aparecimento de uma força planar de propulsão na direção do campo magnético viajante, responsável pelo deslocamento do primário sobre a área de trabalho, definida pelo secundário. O atuador apresenta uma distribuição espacial da densidade de fluxo magnético em toda a sua estrutura. Este trabalho preocupa-se em analisar analítica, numérica e experimentalmente os fenômenos eletromagnéticos envolvidos, tanto em regime estático como dinâmico. O emprego de duas configurações para o secundário, utilizados separadamente, é investigado: no caso 1 é montado um núcleo de material ferromagnético sobre o qual é colocada uma chapa de alumínio; já no caso 2, é retirado o alumínio do conjunto, mantendo-se o mesmo material ferromagnético, a saber, aço maciço 1020. Uma análise estática e dinâmica, a partir do método dos elementos finitos tornou possível a verificação da densidade de fluxo magnético no entreferro e da distribuição da densidade de corrente elétrica induzidas nos materiais do secundário em função da excitação trifásica dos enrolamentos do primário, bem como a obtenção dos seus efeitos sobre a força planar de propulsão, considerando as duas configurações propostas para o estator. Além disso, pode-se comparar esses resultados, direta ou indiretamente, como os resultados analíticos e experimentais obtidos. Esses resultados apontam que existem diferenças significativas na utilização das duas configurações, indicando que o caso 1, quando utilizado de maneira adequada no sistema, produz uma melhor resposta de força em função da excitação elétrica. / The present work presents the study, analysis, implementation and test of a new type of planar actuator, the induction planar actuator with orthogonal windings. The device, which presents movement over the plan with two degrees of freedom from a unique traction device, is formed by a car, also called primary, which presents two three-phase independent winding, orthogonal among each other, assembled on a slotted core made of grain insulated soft magnetic composite material and by a stator, also called secondary, formed by an aluminum plate assembled over a plan ferromagnetic core equally plan, forming a work area or of primary movement. Through the three-phase operation drive, the windings produce traveling magnetic fields, having the electric induced current to appear at the electrically conductor materials of the secondary. The interaction between the magnetic fields and the induced currents provides the appearance of a planar traction force towards the traveling magnetic field, responsible for the displacement of the primary over the work area, defined by the secondary. The actuator presents magnetic flow density spatial distribution in all its structure. This paper is concerned about analyzing analytically, numerically and experimentally the phenomena involved as in steady as dynamic state. The employment of two settings to the secondary used separately is argued: in case 1 a ferromagnetic core is assembled over which is placed an aluminum plate; in case 2 the aluminum is taken off the setting, maintaining the same ferromagnetic material (steel 1020). Dynamic and statics analysis, from the finite elements method, made the verification of the magnetic flux density possible in the air gap and the distribution of the electric current density induced on the material of the secondary due to the three-phase excitation of the winding of the primary, as well as the obtainment of its effects over the planar traction force, regarding the two settings proposed for the stator. Besides, it’s possible to compare these results, direct or indirectly as analytical and experimental results obtained. These results point the there are meaningful differences at both settings, indicating that case 1, when used adequately in the system, produces better force response due to the electric excitation.

Este trabalho apresenta uma metodologia de otimização topológica de atuadores piezelétricos em estruturas compostas laminada com o objetivo de atenuar as vibrações estruturais induzidas por excitações externas. Para isso, utiliza-se técnicas de controle ótimo, como o regulador linear quadrático (LQR) e o controlador linear quadrático gaussiano (LQG). Os estados não mensuráveis são estimados através do uso de observadores de estados de ordem completa, usando o filtro de Kalman para a escolha ótima da matriz de ganhos do observador de estados. O problema de otimização topológica é formulado para a localização ótima do atuador piezelétrico composto MFC (Macro Fiber Composite) na camada ativa da placa, determinando a localização mais vantajosa do material MFC através da maximização do índice de controlabilidade. Para o modelo estrutural, é proposto neste trabalho um modelo para a interação entre o atuador MFC e a estrutura. Assume-se que o MFC é uma das lâminas de material ortotrópico que sofre uma deformação inicial a partir da aplicação de um potencial elétrico e que essa deformação terá efeitos sobre o restante da estrutura. Dessa maneira, não é necessário modelar o campo elétrico gerado através dos eletrodos, uma vez que o efeito eletromecânico é considerado analiticamente. A rigidez e a massa do atuador MFC são considerados no modelo estrutural. Os resultados numéricos mostram que o modelo estrutural proposto para representar a interação entre o atuador MFC e a estrutura apresenta boa concordância com resultados experimentais e numéricos encontrados. Além disso, os resultados mostram que a partir do posicionamento ótimo do atuador MFC na estrutura, a técnica de controle implementada permite atenuar as vibrações estruturais. As simulações para uma força de um degrau unitário permitem concluir que a estratégia de controle usando o controlado LQG apresenta melhor desempenho em termos de tempo de assentamento, sobre resposta, amortecimento e sinal de controle, quando comparado com o controlador LQR. / This work presents a topologic optimization methodology of piezoelectric actuators in laminated composite structures with the objective of controlling external perturbation induced by structural vibrations. The Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) optimal control techniques are used. The states are estimated through of the full order state observers, using the Kalman filter to the observer gain matrix. The topology optimization is formulated to find the optimum localization of the Macro Fiber Composite (MFC) active piezoelectric patch, determining the most advantageous location of the MFC, through of the maximization of the controllability index. For the structural model, this work proposes a simplified MFC/structure interaction model. It is assumed that the MFC is one of the orthotropic material layers which has an initial strain arising from the application of an electric potential; this strain acts on the remainder of the structure. This way, modeling the electromechanical interaction between the piezoelectric material and the electric field is unnecessary because this effect is considered analytically. Both the stiffness and the mass of the MFC are taken into account in the structural model. Numerical results show that proposed MFC-structure interaction model presents good agreement with experiments and numerical simulations of models that uses the electromechanical effect. Actuator location optimization results show that the technique implemented improves the structural vibration damping. The response simulations to an unit step force allows to conclude that the control strategy using the LQG controller presents better performance in terms of settling time, overshoot, damping and control signal energy when compared to the LQR controller.

Neste trabalho propôs-se a construção de um tubo de material compósito híbrido, com fibra de vidro e fibra de carbono, para utilização como prolongador de prótese de membro inferior a serem fabricadas pela AACD - Associação de Assistência à Criança Deficiente. O objetivo é avaliar as solicitações da prótese para otimizar custo e reduzir a massa. Fez-se inicialmente um levantamento das propriedades dos materiais comerciais utilizados para a fabricação do prolongador para referenciar o desenvolvimento do componente da prótese. Utilizou-se modelagem por elementos finitos para otimizar o componente em função dos esforços biomecânicos a que a prótese é submetida. Nesta modelagem, estudaram-se várias disposições, quantidade e material das camadas de forma a atender às solicitações e minimizar os custos. O levantamento bibliográfico permitiu encontrar uma rota de menor custo para a fabricação de compósito que utiliza um processo de transferência de resina auxiliado a vácuo e pré-formados de vidro e carbono. Como referência, foi fabricado um componente pelo processo de bobinagem filamentar que produz materiais compósitos de qualidade reconhecida. O processo de moldagem por transferência de resina assistido à vácuo, apesar de ter alguns insumos importados, pela sua simplicidade pode ser realizado na própria AACD e se mostrou capaz de obter componentes com custo que viabiliza sua produção sem grandes investimentos em equipamentos. Apesar da redução de algumas das propriedades em relação à peça de referência, o tubo apresentou vantagens na redução de massa e na absorção de impacto. / In this work it was considered a construction of a pipe of hybrid composite material, with carbon and glass fibre, for use as prosthesis extension of inferior member to be manufactured for the Associação de Assistência à Criança Deficiente AACD. The objective is to evaluate the requests of prosthesis to optimize cost and to reduce weight. A survey of the properties of the commercial materials commonly used for the manufacture extension became initially a reference to the development of the final component. A finite element modeling was used to optimize the component in the biomechanics function related to the efforts which the prosthesis is submitted. In this modeling some disposals and numbers of layers, amount and material have been studied to take care of the requests and to minimize the cost. A bibliographical survey allowed finding a shipper route for the manufacture of composite that uses a process of vacuum assisted resin transfer molding and preforms of glass with carbon. As reference, a component was produced using filament winding process to compare the quality of the obtained composite pipe. The process, although to have some imported feed-stock, can be proper carried out by AACD and if it showed capable to produce components with cost that makes possible its production internally. Despite the reduction of some of the properties in relation to the reference part, the component presented advantages such as weight reduction and the impact absorption.

Aplicamos a teoria de representação de funções isotrópicas para determinar o número mínimo de invariantes independentes necessários para caracterizar completamente a densidade de energia de deformação de sólido hiperelástico com duas direções de simetria material. Expressamos a densidade de energia em termos de dezoito invariantes e extraímos um conjunto de dez invariantes para analisar dois casos de simetria material. No caso de direções ortogonais, recuperamos o resultado clássico de sete invariantes e oferecemos uma justificativa para a escolha dos invariantes encontrados na literatura. Se as direções não são ortogonais, descobrimos que o número mínimo também é sete e corrigimos um erro em fórmula encontrada na literatura. Uma densidade de energia deste tipo é usada para modelar, na escala macroscópica, materiais de engenharia, tais como compósitos reforçados com fibras, e tecidos biológicos, tais como ossos. / We determine the minimum number of independent invariants that are needed to characterize completely the strain energy density of a hyperelastic solid having two distinct material symmetry directions. We use a theory of representation of isotropic functions to express this energy density in terms of eighteen invariants and extract a set of ten invariants to analyze two cases of material symmetry. In the case of orthogonal directions, we recover the classical result of seven invariants and offer a justification for the choice of invariants found in the literature. If the directions are not orthogonal, we find that the minimum number is also seven and correct a mistake in a formula found in the literature. An energy density of this type is used to model, on the macroscopic scale, engineering materials, such as fiber-reinforced composites, and biological tissues, such as bones.

La simulation des procédés de production des composites à renforts tissés est un enjeu majeur pour les industries de pointe, où leur utilisation s’intensifie. La maitrise des procédés d’obtention des composites à matrice et fibres en céramique, notamment les étapes de mise en forme et de pyrolyse, s’avère primordiale. La connaissance et la simulation du comportement mécanique aux différentes étapes est nécessaire pour optimiser les performances des pièces finales. Deux approches de modélisation macroscopique des renforts tissés épais de composite sont détaillées : une approche continue classique et une approche semi-discrète. Pour cela, une loi de comportement hyperélastique initialement orthotrope est développée. Cette loi est basée sur l’observation phénoménologique des modes de déformation privilégiés, à partir desquels sont proposés des invariants physiques de la transformation. L’identification des paramètres matériaux nécessaires est décrite. Une version modifiée de cette loi, sans contribution en tension, est implémentée dans un élément semi-discret, où le travail en tension est alors pris en compte par des barres discrétisant le tissage réel. Les importantes différences de rigidités entre sollicitations en tension et en cisaillements font des renforts tissés épais des matériaux fortement anisotropes. Leur modélisation numérique met en évidence des phénomènes parasites ou des limitations liés à cette spécificité. Le phénomène de verrouillage en tension est tout d’abord mis en évidence. Une solution basée sur une formulation éléments finis enhanced assumed strain est proposée pour des éléments continus classiques ou semi-discrets. Puis des problèmes liés aux simulations numériques dominées par la flexion sont soulevés : l’hourglassing transverse et l’absence de résistance locale à la courbure. Dans le cas de l’hourglassing transverse, deux méthodes de rigidification de ces modes de déplacement sont proposées : par moyennage des dilatations dans l’élément ou par ajout d’une rigidité matérielle tangente supplémentaire. Pour l’introduction d’une résistance à la courbure, une méthode basée sur l’utilisation purement numérique de plaques rotation free est proposée. Celles-ci permettent le calcul de la courbure induisant, par l’intermédiaire d’un moment de flexion, des efforts internes supplémentaires. Finalement, la modélisation du retour élastique après pyrolyse de la matrice organique à précurseurs céramique est réalisée. Le comportement de la matrice pyrolysée est identifié expérimentalement à l’aide d’une loi hyperélastique isotrope transverse. L’addition de cette loi, qui prend comme référence la préforme déformée, à la loi de comportement initiale du renfort tissé permet de visualiser les déformations obtenues en fin de pyrolyse. Cette modélisation est comparée à des résultats expérimentaux. / Manufacture processes modeling of woven fabrics composites is a major stake for state-of-the-art industrial parts, where their usage is intensifying. Control of all the manufacturing stages of ceramic matrix composites, particularly the forming and pyrolysis steps, is essential. Understanding and simulation of the mechanical behavior at each stage is required to optimize the final product performances. Two macroscopic modeling approaches of thick woven fabric reinforcements are detailed: a continuous classical one and a semi-discrete one. An initially orthotropic hyperelastic constitutive law is thus established. This law is based on a phenomenological observation of the main fabric deformation modes, from where physical invariants of the deformation are suggested. The required material parameters identification is explained. A modified version of this law, without any tensile energetic contribution, is implemented in a semi-discrete element where the tensile work is taken into account by bars that discretize the real weaving. Thick woven reinforcements are highly anisotropic materials due to the large ratio between the tensile rigidity and the others. Their numerical modeling highlights spurious phenomena and limitations related to this specificity. The tension locking is firstly tackled. A remedy based on an enhanced assumed strain finite element formulation is suggested for classical continuum and semi-discrete elements. Problems linked to bending-dominated numerical simulations are brought to attention : transverse hourglassing and lack of local bending stiffness. For the transverse hourglassing situation, two stiffening technics are proposed : averaging the dilatation through the whole element or adding a supplementary tangent material rigidity in a specific direction. The local bending stiffness problem is solved by calculating the curvature inside the element by using rotation free plates. The induced bending moment leads to supplementary internal loads. Finally, the elastic springback following the pyrolysis of the polymer matrix with ceramic precursors is modeled. The constitutive behavior is experimentally identified with a transverse isotropic hyperelastic law. Added to the initial reinforcements’ hyperelastic law, with the preformed fabric as reference configuration, the pyrolysis induced deformations can be visualized. This final model is compared with experimental results.

Les matériaux composites sont largement employés dans le domaine aérospatial grâce à leurs excellentes propriétés mécaniques, leur résistance aux chocs et à la fatigue, tout en restant plus légers que les matériaux conventionnels. Au cours des dernières années, l'industrie automobile a montré un intérêt croissant pour les procédés de fabrication et de transformation de matériaux composites à matrice thermoplastiques. Cela favorisé par le développement et l'optimisation des procèdes de mise en forme tels que le thermostampage, en vue de la réduction de temps de cycle. La modélisation et la simulation de ce procédé sont des étapes importantes pour la prédiction des propriétés mécaniques et de la faisabilité technique des pièces à géométrie complexe. Elles permettent d'optimiser les paramètres de fabrication et du procédé lui-même. À cette fin, ce travail propose une approche pour la simulation de la mise en forme des matériaux composites préimprégnés thermoplastiques. Un modèle viscohyperélastique avec une dépendance à la température a été proposé dans l'objectif de décrire le comportement du composite thermoplastique à l'état fondu. Et permets de faire des simulations de mise en forme à différentes températures. Au cours cette simulation, des calculs thermiques et mécaniques sont effectués de manière séquentielle afin d'actualiser les propriétés mécaniques avec l'évolution du champ température. L'identification des propriétés thermiques sont obtenues par homogénéisation à partir des analyses au niveau mésoscopique du matériau. La comparaison de la simulation avec le thermoformage expérimental d'une pièce représentative de l'industrie automobile analyse la pertinence de l'approche proposée. / Pre-impregnated thermoplastic composites are widely used in the aerospace industry for their excellent mechanical properties, impact resistance and fatigue strength all at lower density than other common materials. In recent years, the automotive industry has shown increasing interest in the manufacturing processes of thermoplastic-matrix composites materials, especially in thermoforming techniques for their rapid cycle times and the possible use of pre-existing equipment. An important step in the prediction of the mechanical properties and technical feasibility of parts with complex geometry is the use of modelling and numerical simulations of these forming processes which can also be capitalized to optimize manufacturing practices.This work offers an approach to the simulation of thermoplastic prepreg composites forming. The proposed model is based on convolution integrals defined under the principles of irreversible thermodynamics and within a hyperelastic framework. The simulation of thermoplastic prepreg forming is achieved by alternate thermal and mechanical analyses. The thermal properties are obtained from a mesoscopic analysis and a homogenization procedure. The comparison of the simulation with an experimental thermoforming of a part representative of automotive applications shows the efficiency of the approach.

Les présents travaux, à caractère numérico-expérimental, visent à approfondir la connaissance relative au comportement de murs maçonnés, principalement ceux renforcés par matériaux composites vis-à-vis de sollicitations dans leur plan (flexion composée). Ils s'inscrivent dans le cadre de la réhabilitation du patrimoine bâti vis-à-vis du risque sismique notamment du fait de la reconsidération du zonage en France rendu depuis peu plus exigeant. Aussi, d'un point de vue technologique, cette thèse vise à apprécier, évaluer et hiérarchiser l'intérêt et les potentialités de solutions de renforcement mobilisant des matériaux composites, à base polymère ainsi que des composites textile-mortier de nouvelle génération, couplés à des ancrages mécaniques ayant vocation à mieux valoriser ce type d'options. Deux échelles d'analyse ont été retenues dans le cadre de la partie expérimentale. A l'échelle du matériau, dans le but de caractériser finement les matériaux constitutifs de la maçonnerie de briques de béton creux et de générer des jeux de données aussi pertinents que fiables, notamment en prévision de la modélisation numérique, des essais de compression uni-axiale et de push-out à l'échelle « réduite » ont été conduits et ont permis de souligner, en accord avec la littérature, la nécessité de tenir compte de l'interaction brique-mortier, de consolider la compréhension des mécanismes d'endommagement et de rupture des éléments de maçonnerie tout en mettant en lumière l'importance relative des dispersions obtenues. A l'échelle du composant de structure, une campagne expérimentale de flexion composée portant sur six murs, dont un mur témoin, a été conduite sous sollicitations de flexion composée dans le plan des murs avec pour impératif la nécessité de restituer les conditions limites et de sollicitations sous séisme, tout en limitant le champ de l'étude au volet statique monotone en vue d'éprouver les solutions valorisées (matériaux composites et ancrage).Cette partie a permis, audelà de la mise en avant des bonnes dispositions en termes de capacité portante, d'une part, de caractériser comparativement le comportement de ces éléments tant à l'échelle globale (déplacement, capacité de déformation et de dissipation d'énergie, etc.) qu'à l'échelle locale (endommagement, déformations localisées, etc.) via une instrumentation judicieuse, et d'autre part de cerner l'importance des ancrages mécaniques vis-à-vis des sollicitations étudiées. L'approche numérique, de type éléments finis, a été mise à profit dans un deuxième temps pour tenter de restituer le comportement des murs (à l'échelle locale et globale). Sur la base d'une lecture bibliographique critique c'est l'approche micromécanique qui a eu nos faveurs. La modélisation a été conduite en trois dimensions (3D) à l'aide du logiciel ANSYS. Ainsi, les briques et le mortier sont modélisés indépendamment mais liés parfaitement. Deux variantes ont été proposées pour la modélisation de la maçonnerie saine et leur adéquation a été évaluée. Le premier modèle s'appuie sur un couplage entre le modèle de béton d'Ansys en traction et un comportement multilinéaire en compression pour modéliser le mortier, les briques sont supposées pourvues d'un comportement élasto-plastique bilinéaire pour lequel la résistance en compression de la brique est le seuil de la phase élastique. Dans le deuxième modèle, plus en phase avec les constats expérimentaux, seul le comportement des briques est modifié en introduisant un comportement post-pic adoucissant. En ce qui concerne la modélisation des murs renforcés par matériaux composites, ces derniers (FRP et TRC) ont été considérés comme parfaitement liés au substrat de maçonnerie. Toutefois, si le renfort de type FRP est modélisé par un comportement homogène orthotrope, le TRC, rarement modélisé jusqu'à lors, est simulé via deux approches (homogène et hétérogène) dans le but d'apprécier leur pertinence... / This study, using both experimental and numerical approaches, will help to better understand the behaviour of masonry walls. It especially focuses on walls reinforced with composite materials under in-plane loading conditions. In France, more stringent seismic design requirements for building structures have taken effect. So, this research has been initiated in an effort to define reliable strengthening techniques. The selected reinforcement materials are (1) – fiber reinforced polymer (FRP) strips using E-glass and carbon fabrics and (2) – an emerging cementbased matrix grid (CMG) system. The composite strips are mechanically anchored into the foundations of the walls to improve their efficiency. The experimental program involves different levels of analysis. Small-scale models of block masonry structures, carried out with less than ten bricks, are tested. The objective is to obtain a coherent set of data, characterizing the elementary components (hollow bricks and mortar) and their interface, in order to provide realistic values of the parameters required in the foreseen modelling. Shear bond strength has been obtained from triplets and 7-uplets and compressive masonry strength from running bond prisms. These experimental results improve the knowledge of the main damage mechanisms and failure modes of masonry but they suffer from high scattering. At laboratory (large) scale, six walls have been submitted to shear-compression tests - five of them are reinforced and the last one acts as a reference. All the walls share the same boundary and compressive loading conditions, which are chosen to ensure a representative simulation of a seismic solicitation. Nevertheless, masonry walls performances and anchor efficiency are only evaluated under monotonic lateral loadings. A comparative study on global behavior (displacements, deformation capacity, energy dissipation,…) as well as on local mechanisms (local strains, damage,…) is carried out and highlights in particular that strengthened walls exhibit a high increase in shear resistance. Moreover, a 3D finite-element analysis using ANSYS has been performed to help understand the behaviour of unreinforced and strengthened walls. A micro-mechanical approach is adopted: bricks and mortar are modelled separately and linked together by a perfect bond. The Ansys concrete model, capable of cracking, is coupled with a multi-linear plasticity model in compression to describe mortar joints. In a first attempt, bricks exhibit a bilinear behavior law where the brick compressive strength is the elastic threshold; but this model fails to reproduce the resistances of the strengthened walls. To compensate for these overestimations and capture the experimental resistances, a post-pic softening behaviour is preferred for the bricks. To model strengthened walls, all composite strips are supposed to be perfectly linked with the masonry and a linear elastic law is used for the FRP reinforcements. TRC strips are either described by means of a linear law or represented using a heterogeneous approach where matrix and textile grids are modelled separately. In this case, grids are represented using a smeared approach and are embedded within the matrix mesh. So, displacement compatibility is totally satisfied between the textile and the cementitious matrix. The proposed numerical model tends to underestimate walls capacity deformation but ultimate loads and failure modes are in coherence with experimental results. Finally, existing analytical methods have been applied to assess unreinforced and strengthened walls performances. The results are then compared with the experimental data and a critical review is proposed. Existing models could be refined by taking into account more realistic behaviour laws and by relying on energy approaches to better reproduce dissipative mechanisms of TRC materials

Dans le domaine de la construction, le béton armé est un matériau le plus couramment utilisé pour construire des bâtiments, des ponts…Avec sa grande histoire, il y a un très grand nombre d'ouvrages qui se retrouve dégradé pour de multiples raisons tels que les accidents routiers, l'évolution de trafic, les modifications de chargement dans les bâtiments ou les actions climatiques… Pour résoudre ces problèmes, deux possibilités principales s'offrent aux maitres d'ouvrage : la reconstruction ou la réparation. La reconstruction est une solution intéressante mais coûte très cher et ne peut pas être appliquée pour tous les ouvrages (ouvrages historiques …) La deuxième solution est donc souvent utilisée pour maintenir les ouvrages dans un bon état de service. Une des méthodes de réparation couramment utilisée consiste à l'application de matériaux composites pour renforcer les structures béton armé. Les coûts relativement acceptables et la mise en oeuvre rapide en font une solution technique de plus en plus appréciée. La technique de renforcement par matériaux composites se traduit par l'encollage de tissu ou de plats réalisés à partir de fibres de carbone ou de verre sur un support en béton. Ces types de matériaux ne sont pas d'origine naturelle, leur production provoque de forts impacts sur l'environnement et de plus, ces matériaux ne sont pas dégradables à leur fin de vie. Donc pour répondre à la question du développement durable qui demande que tous les domaines respectent l'environnement, un nouveau matériau écologique pouvant remplacer ces matériaux dans le renforcement de structure béton armé est toujours demandé. La fibre de Lin est un matériau d'origine naturelle qui présente de bonnes propriétés mécaniques. A l'heure actuelle, la fibre de Lin est appliquée dans plusieurs domaines : l'automobile, le sport, … Dans le domaine génie civil, avec ses bonnes propriétés mécaniques, la fibre de lin peut être utilisée dans le domaine du renforcement des structures béton armé en substitution des fibres courantes (fibre de carbone, fibre de verre…) Le but de cette thèse est l'évaluation de la capacité d'utilisation des fibres de Lin dans le renforcement de poutres béton armé. L'étude se focalisera au cas de renforcement au cisaillement qui n'est pas bien documenté dans la littérature, sui sera comparé avec le renfort par des fibres de carbone. Le programme expérimental est réalisé sur des tests de flexion 3 points avec la charge approche de l'appui pour avoir un fort effort tranchant dans la zone intéressée sur des poutres rectangulaires et des poutres en T. Les poutres sont renforcées par des tissus de lin bidirectionnels et unidirectionnels et par différentes configurations de renforcement. Les normes de calcul ACI, FIB, CSA, CNR-DT… recommandées pour calculer des structures avec des renforts de carbone et de verre dans le renforcement au cisaillement sont appliquées afin de vérifier leur efficacité dans le cas d'un renforcement par fibres de lin. Enfin un modèle numérique est étudié par la méthode des éléments finis pour reproduire le comportement des poutres renforcées par fibre naturelle afin d'étudier les paramètres qui jouent un rôle important dans le renforcement au cisaillement des poutres béton armé par fibre de lin. Les résultats montrent que le renfort par fibre de Lin présente des effets significatifs dans le renforcement au cisaillement de poutres béton armé (augmentation de la résistance de cisaillement de 10% à 33%). Le renfort par fibres de Lin présente une capacité mécanique équivalence à celle de fibre de carbone dans le renforcement au cisaillement de poutres béton armé et un potentiel dans le renforcement de structure béton armé. Les résultats du modèle numérique par la méthode des éléments finis traduisent un comportement similaire à ceux enregistrés lors des essais expérimentaux / In the field of construction, concrete is the most common material used to construct buildings, bridges... With its great history, there are a large number of structures that is found degraded for many reasons such as road accidents, changes in traffic, load changes in buildings or climate action ...To resolve these issues, two main options available to project owners: the reconstruction or repair. Reconstruction is an interesting solution but is very expensive and cannot be applied to all structures (historical works ...). The second solution is often used to keep the structures under service conditions. A repair methods commonly used is the application of composite materials to strengthen reinforced concrete structures. The relatively acceptable cost and rapid implementation make this technical solution increasingly appreciated. The Flax fiber is a natural material which has good mechanical properties. At present, the flax fiber is applied in several areas: automotive, sports ... In the civil engineering field, with its good mechanical properties, flax fiber can be used in the field of building Reinforced Concrete structures substitution of regular fibers (carbon fiber, fiberglass ...) The aim of this thesis is the evaluation of the ability to use flax fibers in strengthening reinforced concrete beams. The study will focus on a case of shear reinforcement that is not well documented in the literature; it will be compared with the reinforcement with carbon fibers. The experimental program was carried out on 3-point bending tests with the support of load approach for a strong shear in the area concerned on rectangular beams and T-beams. The beams are reinforced by bidirectional flax fabrics and unidirectional reinforcement and different configurations. The calculation standards ACI, FIB, CSA, CNR-DT ... recommended to calculate structures with carbon reinforcements and glass in building for shear strengthening are applied to ensure their effectiveness in the case of a reinforcement flax fibers. Finally, a numerical model is being studied by the finite element method to reproduce the behavior of beams reinforced with natural fiber to study the parameters that play an important role in shear strengthening of concrete beams reinforced with flax fiber. The results show that the reinforcing flax fiber has significant effects in the shear reinforcement of reinforced concrete beams (increase in shear resistance of 10% to 33%). The reinforcement by flax fiber has a mechanical capacity equivalent to that of carbon fiber in the shear reinforcement of reinforced concrete beams and potential in strengthening reinforced concrete structure. The results of the numerical model by the finite element method reflect a behavior similar to those obtained during the experimental tests. The model also valid flax fiber capacity comparable to that of carbon fiber in the shear strengthening of reinforced concrete beams