Cette thèse s’inscrit dans la thématique d’évaluation des ouvrages par des méthodes nondestructives. Le double objectif est de développer un code permettant d’effectuer au choixl’identification de paramètres par analyse inverse en utilisant un algorithme méta heuristique, ou dedéfinir une métrologie optimale (nombre de capteurs, positions, qualité) sur une structure, en vued’une identification de paramètres. Nous avons développé un code permettant de répondre à cesdeux objectifs. Il intègre des mesures in situ, un modèle mécanique aux éléments finis de lastructure étudiée et un algorithme d’optimisation méta heuristique appelé algorithme d’optimisationpar essaim particulaire. Ce code a d’abord été utilisé afin de caractériser l’influence de la métrologiesur l’identification de paramètres par analyse inverse, puis, en phase expérimentale, nous avonstravaillé sur des problèmes d’interactions sol structure. Un travail a également été réalisé surl’identification et la caractérisation de défauts par sollicitations au marteau d’impact. Enfin unexemple d’optimisation de métrologie (nombre de capteurs, positions et qualité) a été réalisé enutilisant le code original adapté pour cette étude. / This thesis deals with non-destructive evaluation in civil engineering. The objective is of two-fold:developing a code that will identify mechanical parameters by inverse analysis using a metaheuristicalgorithm, and developing another code to optimize the sensors placement (with respect tothe number and quality of the sensors) in order to identify mechanical parameters with the bestaccuracy. Our code integrates field data, a finite element model of the studying structure and aparticle swarm optimization algorithm to answer those two objectives. This code was firstly used tofocus on how the sensors placement, the number of used sensors, and their quality impact theaccuracy of parameters’ identification. Then, an application on a soil structure interaction wasconducted. Several tests to identify and characterize defaults using an impact hammer were alsocarried on. The last application focused on the optimization of the metrology in order to identifymechanical parameters with the best accuracy. This last work highlights the possibilities of theseresearches for structural health monitoring applications in civil engineering project.

L'emboutissage est une technique de mise en forme des tôles métalliques. L'emboutissage est généralement suivi par un phénomène de retour élastique de la tôle emboutie. Le phénomène de retour élastique correspond à une modification de la géométrie de la tôle après enlèvement de la charge d'emboutissage. L'écrouissage du matériau est l'un des facteurs les plus importants qui influence ce phénomène. Dans cette thèse, l'écrouissage de différentes tôles dédiées à l'emboutissage a été étudié en utilisant la technique d'indentation instrumentée. Cette technique permet d'obtenir la loi d'écrouissage d'un matériau à partir de la mesure de l'évolution de l'enfoncement d'une bille dans le matériau testé en fonction de l'effort appliqué sur cette bille. Trois aspects essentiels de l'écrouissage ont été étudiés : La variation de la loi d'écrouissage dans l'épaisseur de la tôle, le niveau d'écrouissage atteint par la tôle après déformation plastique et le type d'écrouissage. Le test d'indentation instrumentée a permis de caractériser chacun de ces aspects influençant le retour élastique. Cet outil peut ainsi être utile dans une démarche d'amélioration de la prédiction du phénomène de retour élastique en emboutissage. / Stamping is a forming technique of the metal sheets. Stamping is generally followed by a springback phenomenon of the stamped sheet metal. The phenomenon of springback corresponds to a modification of the geometry of the sheet after removal of the load. One of the most important factors influencing springback is the work-hardening of the material. In this thesis, the work-hardening of different sheet metals used for stamping process was investigated using the instrumented indentation technique. This technique allows obtaining the work-hardening law of a material from the measurement of the evolution of the penetration depth of a ball in the tested material as a function of the applied force on the ball. Three major aspects of the work-hardening were studied: The variation of the work-hardening law in the thickness of the sheet, the level of work-hardening obtained after plastic deformation and the type of the work-hardening. The instrumented indentation test allows characterizing each of these aspects influencing springback. This tool can thus be useful in a process of improving the prediction of the springback phenomenon in stamping.

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[pt] A representação do comportamento de materiais elastoplásticos a partir de modelos com múltiplas superfícies de plastificação é uma alternativa para representar o comportamento de materiais como concreto, rochas e solos, que apresentam diferentes tipos de resposta não linear, a depender do estado de tensão atuante. No entanto, o emprego desses modelos requer a definição de muitos parâmetros que, por vezes, não possuem significado físico. Além disso, a implementação de modelos elastoplásticos com multiplas envoltórias traz complexidades adicionais. O emprego desse tipo de modelo requer um esquema robusto de integração das equações de evolução das variáveis plásticas. Nessa pespectiva, é apresentado um algoritmo de mapeamento de retorno baseado em um método de otimização sem restrições, o método de Newton-Raphson com busca unidimensional. Propõe-se uma expressão para o tensor constitutivo elastoplástico consistente para modelos com múltiplas superfícies de plastificação. Adicionalmente, apresenta-se uma metodologia de calibração dos parâmetros de tais modelos a partir da solução de um problema de otimização, solucionado via algoritmo genético. Para melhor compreender os parâmetros envolvidos nesse algoritmo, desenvolve-se um estudo paramétrico, solucionando uma série de problemas de otimização global. A robustez e eficácia dos algoritmos são avaliadas por meio de aplicações, dentre elas algumas disponíveis na literatura, num modelo constitutivo idealizado para concreto, rochas e solos: Cap Model. Por fim, calibrase tal modelo, considerando dados experimentais disponíveis na literatura. Assim, este trabalho tem como objetivo contribuir para viabilizar o emprego de modelos elastoplásticos complexos em problemas de engenharia. / [en] Elastoplastic models with multiple plastic surfaces is an alternative to represent the nonlinear behavior of materials such as concrete, rocks and soils. The nonlinear response of these materials depends highly on the stress state. However, these models require the definition of many parameters which do not always have physical meaning. In addition, the implementation of elastoplastic models represented by multiple plastic surfaces brings additional complexities to the analysis. The use of this type of model requires a robust numerical integration scheme of the elastoplastic evolution equations. This work presents two contributions. The first contribution is a robust return mapping algorithm for a multisurface plasticity model in general stress space known as closest point projection algorithm. The return mapping algorithm is based on a numerical method for unconstrained optimization. In this scenario, it is adopted the Newton-Raphson method with line search. A consistent tangent modulus for multisurface plasticity is also proposed. The second contribution is a methodology for parameter calibration. This methodology is formulated as an optimization problem, with the solution obtained through a genetic algorithm. A parametric study is developed in order to better undestand specific parameters of the algorithm, solving global optimization problems. Robustness and effectiveness of the proposed algorithm are evaluated through numerical examples applied to a constitutive model used for modelling concrete, rocks and soils: Cap Model. Applications available in the literature are analysed. Lastly, the parameters of this model are calibrated using experimental data avaliable in the literature. Thus, this work aims at improving the feasibility of the use of complex elastoplastic models in engineering problems.

A identificação de parâmetros físicos e geométricos utilizando medições experimentais é um procedimento comum no tratamento de muitos problemas da ciência e engenharia. Neste contexto, a análise inversa apresenta-se como uma importante ferramenta no tratamento desses problemas. Este trabalho apresenta formulações que acoplam o uso do método dos elementos de contorno (MEC) e a técnica de correlação de imagens digitais (CID) (para obtenção dos campos de deslocamentos) na resolução de alguns problemas inversos de interesse para engenharia de estruturas. Implementou-se um código computacional baseado no MEC, em técnicas de regularização e em algoritmo genético, para análise inversa em problemas de identificação das propriedades dos materiais, recuperação das condições de contorno e identificação de parâmetros do modelo coesivo de fraturamento. Exemplos com dados oriundos de uma prévia análise direta (simulando dados experimentais) são apresentados para demonstrar a eficiência das formulações propostas. Ensaios de vigas em flexão em três pontos com entalhe foram realizados com aquisição de imagens para obtenção dos campos de deslocamentos da região de propagação da fissura, via CID. Estes campos foram utilizados para alimentar o modelo inverso proposto. A técnica de CID originou dados em quantidade e precisão suficientes para os fins almejados neste trabalho. A utilização do MEC mostrou-se simples e de grande eficiência para a solução dos problemas inversos tratados. / The identification of physical and geometrical parameters utilizing experimental measurements is a common procedure in treating many problems of science and engineering. In this context, the inverse analysis is an important tool in treating these problems. This work presents formulations that associate the use of boundary element method (BEM) and the technique of digital image correlation (DIC) (for obtaining the displacement fields) in solving some inverse problems of interest to Structure Engineering. A computer code based on the BEM, on regularization techniques and genetic algorithm has been implemented for the treatment of problems such as Identification of material properties, recovery of boundary conditions and identification of cohesive model parameters. Examples with data from a previous direct analysis (simulating experimental data) are presented to demonstrate the effectiveness of the proposed formulations. Three point flexural tests with notch were performed and images were acquired to obtain the displacement fields on one lateral surface of the samples, via DIC. These displacement fields were used to feed the inverse model proposed. The DIC technique resulted in quantitative and accurate data for the purposes of this study. The use of the BEM proved to be simple and efficient in solving the inverse problems treated.

A identificação de parâmetros físicos e geométricos utilizando medições experimentais é um procedimento comum no tratamento de muitos problemas da ciência e engenharia. Neste contexto, a análise inversa apresenta-se como uma importante ferramenta no tratamento desses problemas. Este trabalho apresenta formulações que acoplam o uso do método dos elementos de contorno (MEC) e a técnica de correlação de imagens digitais (CID) (para obtenção dos campos de deslocamentos) na resolução de alguns problemas inversos de interesse para engenharia de estruturas. Implementou-se um código computacional baseado no MEC, em técnicas de regularização e em algoritmo genético, para análise inversa em problemas de identificação das propriedades dos materiais, recuperação das condições de contorno e identificação de parâmetros do modelo coesivo de fraturamento. Exemplos com dados oriundos de uma prévia análise direta (simulando dados experimentais) são apresentados para demonstrar a eficiência das formulações propostas. Ensaios de vigas em flexão em três pontos com entalhe foram realizados com aquisição de imagens para obtenção dos campos de deslocamentos da região de propagação da fissura, via CID. Estes campos foram utilizados para alimentar o modelo inverso proposto. A técnica de CID originou dados em quantidade e precisão suficientes para os fins almejados neste trabalho. A utilização do MEC mostrou-se simples e de grande eficiência para a solução dos problemas inversos tratados. / The identification of physical and geometrical parameters utilizing experimental measurements is a common procedure in treating many problems of science and engineering. In this context, the inverse analysis is an important tool in treating these problems. This work presents formulations that associate the use of boundary element method (BEM) and the technique of digital image correlation (DIC) (for obtaining the displacement fields) in solving some inverse problems of interest to Structure Engineering. A computer code based on the BEM, on regularization techniques and genetic algorithm has been implemented for the treatment of problems such as Identification of material properties, recovery of boundary conditions and identification of cohesive model parameters. Examples with data from a previous direct analysis (simulating experimental data) are presented to demonstrate the effectiveness of the proposed formulations. Three point flexural tests with notch were performed and images were acquired to obtain the displacement fields on one lateral surface of the samples, via DIC. These displacement fields were used to feed the inverse model proposed. The DIC technique resulted in quantitative and accurate data for the purposes of this study. The use of the BEM proved to be simple and efficient in solving the inverse problems treated.

L'étude présentée dans cette thèse porte sur une analyse expérimentale des propriétés physiques (densités, porosité, granulométrie) et hydrodynamiques (isotherme de désorption, courbe caractéristique sol-eau, perméabilité à saturation) d'un sol type aride du Burkina Faso et une simulation numérique des transferts d'eau. La modélisation des transferts est abordée par une approche thermodynamique qui constitue un cadre général pour décrire à la fois l'état de l'eau dans le sol et les mécanismes de transferts mis en jeu : filtration de la phase liquide, diffusion de la vapeur d'eau, changement de phase liquide-vapeur. Des essais expérimentaux de transferts d'eau dans des colonnes de sol hermétiquement fermées et placées dans une enceinte régulée en température, ont permis d'établir l'évolution des profils de teneur en eau au cours du temps. La configuration expérimentale est choisie de sorte que seule la filtration de la phase liquide de l'eau dans le sol soit prépondérante. Les profils expérimentaux ont servi à l'estimation par approche inverse de la conductivité hydraulique dans les faibles teneurs en eau. La prise en compte des écoulements par films dans la modélisation du coefficient de perméabilité relative corrige les insuffisances des modèles capillaires. Les coefficients de changement de phase proche et loin de l'équilibre modélisés à partir de résultats expérimentaux permettent la mise en évidence du non-équilibre liquide/gaz dans les transferts aux faibles teneurs en eau. Il ressort que le non-équilibre dans les transferts aux faibles teneurs en eau est plus marqué avec le modèle capillaire avec un front de séchage plus franc à la surface. La prise en compte des écoulements par films prolonge la filtration de la phase liquide de l'eau jusqu'à l'état hygroscopique du sol avec un flux d'eau liquide maintenu à la surface du sol jusqu'à des temps plus longs. / The study presented in this thesis focuses on an experimental analysis of physical properties (densities, porosity, particle size distribution) and hydrodynamic properties (desorption isotherm, soil-water characteristic curve, saturated permeability) of an arid soil from Burkina Faso and numerical simulation of water transfers. The transfer modelling is addressed through thermodynamic approach which provides a general framework to describe both the water state in the soil and the transport mechanisms: filtration of liquid phase, water vapor diffusion, liquid/vapor phase change. Experimental attempts of water transfer in soil columns, sealed and placed into a controlled temperature chamber, have established the evolution of water content profiles over time. The experimental configuration is chosen so that only the filtration of water liquid phase is taken into account. These experimental profiles were used to estimate, by inverse approach, the unsaturated hydraulic conductivity at low water contents. Consideration of film flows in the relative permeability modelling corrects the shortcomings of capillary bundle models used to describe water flow from saturation to oven-dryness. The coefficients of phase change near and far from equilibrium modeled from experimental results prove non-equilibrium liquid/gas existence. It appears that the liquid/gas non-equilibrium at low water content is more pronounced with the capillary model with a frank drying front at the soil surface. Consideration of film flows extends liquid phase filtration into the soil until the hygroscopic state with a liquid water flux maintained at the soil surface for longer times.

Une méthode d’analyse des topographies résiduelles, obtenues par essais de nanoindentation Berkovich sur trois échantillons de nickel polycristallins cubiques à faces entrées (CFC), a été développée dans cette thèse. L’objectif de la méthode est d’évaluer la richesse de l’information contenue dans les empreintes pour l’identification de tout ou partie des paramètres d’une loi de plasticité monocristalline. La création d’une base de données de topographies résiduelles, mesurées par microscopie à force atomique (AFM), constitue la partie expérimentale du travail. Les distributions et dimensions de bourrelets montrent une grande sensibilité à l’orientation relative indenteur/grain et au taux d’écrouissage. Les topographies obtenues s’avèrent être de véritables « empreintes digitales » du mécanisme de plasticité à l’échelle du grain. L’élaboration sous le code ZéBuLon d’un modèle éléments finis (EF) 3D de l’essai de nanoindentation Berkovich, intégrant la loi de Méric-Cailletaud, permet de retrouver les observations expérimentales. Une étude numérique confirme la sensibilité de la topographie à l’orientation relative indenteur/grain et aux paramètres plastiques, notamment aux coefficients de la matrice d’interaction des dislocations présentes sur les systèmes de glissement. Afin d’évaluer la richesse du contenu informatif des empreintes, un indice d’identifiabilité est proposé. Son calcul est basé sur la multi-colinéarité des vecteurs de sensibilité des topographies résiduelles aux paramètres de la loi. Il permet de quantifier, en fonction des données topographiques prises en compte, le caractère mal posé du problème d’identification paramétrique. Les résultats obtenus montrent que l’identification de quatre à cinq paramètres de la loi de Méric-Cailletaud est envisageable en exploitant seulement deux empreintes. Ces travaux ouvrent la voie à l’identification du comportement à l’échelle du cristal, guidée par l’identifiabilité paramétrique. / In this thesis, a method is developed to analyse the residual topographies obtained by Berkovich nanoindentation tests on three face-centered cubic (FCC) polycrystalline nickel samples. The purpose is to measure the information richness of imprints for identifying all or part of parameters of a single crystal plasticity law. The experimental part consists in creating a residual topography database by atomic force microscopy (AFM) measurements on the samples. Pile-up distributions and sizes are largely sensitive to the indenter/grain relative orientation and the hardening rate. The topographies are true “fingerprints” of the plasticity mechanism at the grain scale. A 3D finite element (FE) modelling of nanoindentation test is developed using the code ZeBuLon and making use of the Méric-Cailletaud law. Numerical results show a good agreement with experimental observations and are largely sensitive to the indenter/grain relative orientation and the plastic parameters, including the interaction matrix coefficient specifying the interaction between dislocations on different slip systems. To measure the imprint information content, an identifiability index is proposed. Its calculation is based on the multicollinearity among the sensitivity vectors of topographies to the law parameters. According to the considered topographies, it measures if the numerical model updating problem is ill-posed. The results show that four to five parameters of the Méric-Cailletaud law can be identified by considering two topographies. This work paves the way for identifying the material behaviour at the grain scale using parametric identifiability

The work occupy by inverse analysis based on artificial neural network. This identification algorithm enable correct determine parameters of applied material model on creation of numerical model of construction so it's possible that the results of computerized simulation correspond with experiments. It look's like suitable approach especially in cases with complicated problems and complex models with many material parameters.

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