This thesis helps develop a material model for a novel Fiber Core SandwichSheet construction. A test method was used to determine the mechanicalproperties of the sandwich material. Standard three point bendingtests coupled with digital image correlation was used. Results wereextracted from the digital image data. These results supplemented thedevelopment and tuning of an FE model of the sandwich material. Conclusionswere drawn about the feasibility of the method in studying sucha material. / Denna avhandling genomfördes mot utvecklingen av en homogeniseradmaterialmodell för en ny sandwich-konstruktion med fiberkärna. En testmetodanvändes för att bestämma de mekaniska egenskaperna hos sandwichmaterialet.Testmetoden involverade trepunkts i kombination meddigital bildkorrelation. Resultaten extraherades från den digitala bilddatanvid genomförande av trepunkts. Dessa resultat användes utvecklingenav en FE-modell av sandwichmaterialet. Slutsatser drogs om tillämplighetenav metoden för att studera ett sådant material.

At present, structural health monitoring efforts focus primarily on the sensors and sensing systems for detecting instances and locations of damage through techniques such as X-ray, micro CT, acoustic emission, infrared thermography, lamb wave etc., which only detect cracks at relatively large length scales and rely heavily on sensors and sensing systems which are external to the material system. As an alternative to conventional commercially available SHM techniques, the current work explores processing-structure-property relationships starting from carbon nanotube (CNT) based nanocomposites to particulate composites with nanocomposite binder/matrix materials, i.e. hybrid particulate composites to investigate deformation and damage sensing capabilities of inherently sensing materials and structures through their piezoresistive (coupled electro-mechanical) response. Initial efforts focused on controlling the dispersion of CNTs and orientation of CNT filaments within nanocomposites under dielectrophoresis to guide design and fabrication process of nanocomposites by tuning CNT concentration, applied AC electric field intensity, frequency and exposure time. It is observed that a combination of exposure time to AC electric field and the AC field frequency are the key drivers of filament width and spacing and that the network for filament formation is much more efficient for pristine CNTs than for acid treated functionalized CNTs. With the knowledge obtained from controlling the morphological features, AC field-induced long range alignment of CNTs within bulk nanocomposites was scaled up to form structural test coupons. The morphology, electrical and mechanical properties of the coupons were investigated. The anisotropic piezoresistive response both for parallel and transverse to CNT alignment direction within bulk composite coupons under various loading conditions was obtained. It is observed that control of the CNT network allows for the establishment of percolation paths and piezoresistive response well below the nominal percolation threshold observed for random, so called well-dispersed CNT network distributions. The potential for use of such bulk nanocomposites in SHM applications to detect strain and microdamage accumulation is further demonstrated, underscoring the importance of microscale CNT distribution/orientation and network formation/disruption in governing the piezoresistive sensitivities. Finally, what may be the first experimental study in the literature is conducted for real-time embedded microscale strain and damage sensing in energetic materials by distributing the CNT sensing network throughout the binder phase of inert and mock energetic composites through piezoresistive response for SHM in energetic materials. The incorporation of CNTs into inert and mock energetic composites revealed promising self-diagnostic functionalities for in situ real-time SHM applications under quasi-static and low velocity impact loading for solid rocket propellants, detonators and munitions to reduce the stochastic nature of safety characterization and help in designing insult tolerant energetic materials. / Ph. D.

This dissertation presents a comprehensive investigation into the mechanical properties of fiber-reinforced concrete (FRC), focusing on fracture and flexural toughness properties, the impact of fiber orientation and distribution, and the evaluation of flexural models for predicting the behavior of functionally graded FRC. It embarks on a critical investigation aimed at bridging a significant gap in the understanding of FRC materials' behavior, particularly in terms of fracture and flexural performance. Across five distinct manuscripts, this work employs a variety of experimental methodologies, including three-point bend tests, four-point bend tests, digital image correlation, X-ray computed tomography, and the implementation of the two parameter fracture model and then size effect fracture method to explore the effects of different casting techniques – namely, conventional casting and pump-driven extrusion – on the performance of FRC. The core hypothesis tested throughout these studies suggests that the extrusion process, by aligning fibers parallel to tensile stresses, significantly enhances the concrete's ductility, post-peak behavior, and overall fracture and flexural properties. This hypothesis was corroborated across various experiments, which demonstrated that fiber alignment via extrusion not only enhances the concrete's mechanical properties but also leads to more effective crack propagation control, increased toughness, and enhanced residual strengths. The research encompasses a series of systematic investigations into the effects of fiber alignment on the mechanical properties of FRC, revealing that the extrusion process significantly enhances fracture and flexural properties and maintains residual strength after peak stress. Utilizing both extrusion-based and conventional casting methods with varying dosages of polyvinyl alcohol fibers, the study demonstrates notable improvements in fracture properties, deflection at failure, and equivalent flexural strength ratio for extrusion-based specimens compared to their conventionally cast counterparts. Moreover, the dissertation explores the impact of casting methods and fiber orientation on fracture energy, offering a size-dependent improvement in extrusion-based methods. The strategic distribution of steel fibers, employing an innovative targeted fiber injection for creating Functionally Graded FRC (FG-FRC), is shown to significantly enhance the structural integrity and resilience of the material. The analysis of flexural models applied to FG-FRC specimens, proposing a novel functionally graded factor to improve model predictability, further advances the understanding of the predictability and reliability of these models in assessing FRC's structural behavior. This dissertation advances academic knowledge in the field of FRC casting and offers significant implications for the construction industry, demonstrating a profound understanding of the challenges and opportunities in extrusion-based FRC casting. Through its innovative approach and detailed investigations, this work contributes significantly to the advancement of the FRC casting field, paving the way for the development of more resilient and efficient construction materials. / Doctor of Philosophy / This research explores the enhancement of concrete's strength and flexibility through the incorporation of individual fibers, with a special focus on the integration and alignment of these fibers. The study examines how concrete can be made more resilient by mixing in fibers in specific ways. A variety of tests, including bending beams and employing advanced imaging techniques, were conducted to observe the effects of mixing fibers using traditional methods versus a novel extrusion-based technique that aligns the fibers in the desired direction in the concrete. The research hypothesized that this innovative alignment method would improve the concrete's ductility and enhance its ability to resist crack propagation. The findings confirmed this hypothesis, revealing that aligned fibers significantly improve concrete's bending capacity, reduce sensitivity to cracking, and retain residual strength even after cracking. Further investigation into varying methods of fiber addition, such as a targeted approach for placing fibers in strategic locations, demonstrated a marked enhancement in the material's ductility. Additionally, the study evaluated mathematical models for predicting the behavior of fiber-reinforced concrete, aiming to improve the understanding and reliability of these models for practical construction applications. In short, the research underscores that adjusting the method of fiber integration into concrete can lead to the development of structures that are both stronger and more durable. This advancement holds promising implications for the future of construction, offering pathways to create more resilient and efficient building materials.

Es werden hydrostatisch stranggepresste Aluminium/Magnesium-Verbunde untersucht. Mittels verschiedener Rissdetektionsmethoden wird die Beschaffenheit des Interface analysiert. Es erfolgt die Bestimmung von Fließkurven der verpressten Einzelwerkstoffe bei Raumtemperatur. Des Weiteren erfolgen Eigenspannungsanalysen mit dem Bohrlochverfahren und einer speziellen numerischen Auswertungsmethode, welche den Entstehungsprozess der Eigenspannungen berücksichtigt. Zur Analyse der Festigkeitseigenschaften und des Deformationsverhaltens des Interface werden Biegeversuche in einem erweiterten Temperaturbereich durchgeführt. Die Deformationsanalyse erfolgt mittels Digital Image Correlation. Des Weiteren finden in den Festigkeitsuntersuchungen Push-Out-Versuche Anwendung. In bruchmechanischen Analysen wird die Interfacerissspitze von speziell entwickelten Proben unter Mode I-Bedingungen, bezogen auf den homogenen Fall, beansprucht. Die bruchmechanischen Größen – kritischer betragsmäßiger Spannungsintensitätsfaktor und kritische Energiefreisetzungsrate – werden auf Basis der Experimente, der numerischen Simulation der Rissspitzenbeanspruchung sowie der für die linear-elastische Bruchmechanik des Interfacerisses geltenden Nahfeldgleichungen berechnet. / Hydrostatic coextruded aluminum/magnesium compounds are analyzed. By means of different methods of crack detection, the quality of the interface is investigated. Plastic behavior of the basic materials at room temperature is determined. Furthermore, residual stress analyses are performed using the hole drilling method and a special numerical evaluation procedure, which considers the formation process of the residual stresses. The strength and deformation behavior of the interface are determined by means of bending tests in an extended temperature range. Digital Image Correlation is used to analyze the deformation. Furthermore, push out tests are performed to determine the interface strength. In the course of fracture mechanical analyses, the crack tip of specially developed specimens is stressed under Mode I conditions (relating to homogeneous material). The fracture mechanical values – critical absolute value of the stress intensity factor and critical energy release rate – are determined by the use of experiments, numerical analyses of the crack tip fields as well as the equations of the linear elastic near field equations of interface fracture mechanics.

Es werden hydrostatisch stranggepresste Aluminium/Magnesium-Verbunde untersucht. Mittels verschiedener Rissdetektionsmethoden wird die Beschaffenheit des Interface analysiert. Es erfolgt die Bestimmung von Fließkurven der verpressten Einzelwerkstoffe bei Raumtemperatur. Des Weiteren erfolgen Eigenspannungsanalysen mit dem Bohrlochverfahren und einer speziellen numerischen Auswertungsmethode, welche den Entstehungsprozess der Eigenspannungen berücksichtigt. Zur Analyse der Festigkeitseigenschaften und des Deformationsverhaltens des Interface werden Biegeversuche in einem erweiterten Temperaturbereich durchgeführt. Die Deformationsanalyse erfolgt mittels Digital Image Correlation. Des Weiteren finden in den Festigkeitsuntersuchungen Push-Out-Versuche Anwendung. In bruchmechanischen Analysen wird die Interfacerissspitze von speziell entwickelten Proben unter Mode I-Bedingungen, bezogen auf den homogenen Fall, beansprucht. Die bruchmechanischen Größen – kritischer betragsmäßiger Spannungsintensitätsfaktor und kritische Energiefreisetzungsrate – werden auf Basis der Experimente, der numerischen Simulation der Rissspitzenbeanspruchung sowie der für die linear-elastische Bruchmechanik des Interfacerisses geltenden Nahfeldgleichungen berechnet. / Hydrostatic coextruded aluminum/magnesium compounds are analyzed. By means of different methods of crack detection, the quality of the interface is investigated. Plastic behavior of the basic materials at room temperature is determined. Furthermore, residual stress analyses are performed using the hole drilling method and a special numerical evaluation procedure, which considers the formation process of the residual stresses. The strength and deformation behavior of the interface are determined by means of bending tests in an extended temperature range. Digital Image Correlation is used to analyze the deformation. Furthermore, push out tests are performed to determine the interface strength. In the course of fracture mechanical analyses, the crack tip of specially developed specimens is stressed under Mode I conditions (relating to homogeneous material). The fracture mechanical values – critical absolute value of the stress intensity factor and critical energy release rate – are determined by the use of experiments, numerical analyses of the crack tip fields as well as the equations of the linear elastic near field equations of interface fracture mechanics.

Denna rapport behandlar genomförandet av ett examensarbete på högskolenivå inom maskinteknik vid Högskolan i Borås. Examensarbetet har utförts hos SP Sveriges Tekniska Forskningsinstitut AB, enheterna SP Safety – Mechanical Research i Borås och Göteborg samt Food and Bioscience i Göteborg. Den största delen av arbetet har utförts vid sektionen Mechanical Research Göteborg. Målet med examensarbetet var att kombinera analys av experimentell bilddata från konfokalmikroskopi och mekanisk lastdata från en dragcell som gradvis deformerar ett polyuretanskum med modellering av skummets mekaniska egenskaper med hjälp av finita elementmetoder (FEM). Syftet var att bestämma elasticitetsmodul och Poissons tal. En viktig del av projektet var också att säkerställa hög repeterbarhet och möjliggöra vidareutveckling av metodiken genom att skapa rutiner för hur de olika delmomenten i arbetscykeln bäst utförs. Polyuretanskum, liksom många andra mjuka heterogena biomaterial saknar i dagsläget uppmätta eller beräknade mekaniska egenskaper. Därför finns potential för att den framtagna metodiken kommer till användning för att bestämma materialparametrar och analysera beteenden för fler av dessa material. Genom att bestämma materialparametrarna är det sedan möjligt att¬ utföra hållfasthetsberäkningar på sådana material, och korrelera materialparametrarna till processparametrarna vid tillverkningen för att optimera materialets egenskaper. Studien började med att ett prov av polyuretanskum placerades i en dragcell där det utsattes för en kraft så att det gradvis deformerades. Med hjälp av ett konfokalmikroskop kan hela deformationsprocessen följas i hög upplösning. De framtagna bildserierna analyserades sedan med hjälp av DaVis, en mjukvara som genomför så kallad digital image correlation-analys, med vars hjälp lokala förskjutningar kunde bestämmas. För att kunna utföra FEM-beräkningar delades materialstrukturen in i elementnät med hjälp av den fritt tillgängliga programvaran OOF2. Elementnät och förskjutningsdata importerades sedan till Matlab och insticksmodulen CalFEM. Med hjälp av CalFEM konstruerades en materialmodell med elasticitetsmodul och Poissons tal som inparametrar. Valideringskriterium användes för att säkerställa korrektheten i finita elementanalyserna. Elasticitetsmodulen bestämdes till 4.6 MPa och Poissons tal till 0.33 ± 0.06. Med tillgängliga data kunde inte modellen användas för att uppskatta båda parametrarna samtidigt. Poissons tal bestämdes genom manuell analys av bildserierna. Metodiken kan förbättras och vidareutvecklas genom att analysera fler provbitar för att ta hänsyn till lokala fluktuationer i materialstrukturen, samt avbilda provet i tredimensioner. Tredimensionell avbildning skulle också möjliggöra konstruktion av en tredimensionell beräkningsmodell av materialet. / This bachelor thesis deals with the implementation of a degree in mechanical engineering at the University of Borås. The thesis work has been conducted at SP Technical Research Institute of Sweden AB at the departments SP Safety – Mechanical Research in Borås and Gothenburg and Food and Bioscience in Gothenburg. The major part of the work has been done at the Mechanical Research department in Gothenburg. The aim of the thesis work was to combine analysis of experimental image data from confocal laser scanning microscopy and mechanical load data from a tensile cell that gradually deforms a polyurethane foam with modelling of the mechanical properties of the foam using finite element methods (FEM). The purpose was to determine Young’s modulus and Poisson's ratio. A crucial part of the project was also to facilitate a high degree of repeatability and further development of the method through establishing routines and best practices for how to implement different parts of the method. There is currently a lack of measured or calculated properties for polyurethane foams, as is the case also for many other soft heterogeneous biomaterials. This implies that the developed method has potential use for determining material parameters and analyzing behavior also for other materials of this type. Determining the material parameters facilitates strength calculations on these materials and makes it possible to correlate material parameters to process parameters during manufacturing to optimize material performance. The polyurethane foam was placed in a tensile cell, exposed to a force and slowly, gradually deformed. Using a confocal microscope, the entire deformation process can be observed at high resolution. The obtained image series were then analyzed using DaVis, a software that can perform so called digital image correlation analysis where local displacements could be determined. In order to perform the finite element calculations, the material structure was divided into an element mesh using the software OOF2. The element mesh and displacement data were then imported to Matlab and the plugin module CalFEM. Using CalFEM, a material model involving Young’s modulus and Poisson’s ratio was created. Young’s modulus was determined to be 4.6 MPa and Poisson’s ratio 0.33 ± 0.06. Using the available data, the model was insufficient to determine both parameters simultaneously. Therefore, Poisson’s ratio was determined through manual analysis of the image series. The method can be improved and further developed mainly by analyzing several samples to account for local fluctuations in the material structure and by using three-dimensional imaging methods. The latter would also open up for creating a three-dimensional model of the material.

L’utilisation croissante des Alliages à Mémoire de Forme (AMF) dans des structures de plus en plus complexes, notamment en vue d'applications médicales, rend nécessaire la compréhension des phénomènes régissant leur comportement et plus précisément la pseudo-élasticité. Le fort couplage thermomécanique, résultant de la transformation de phase martensitique, est un point clé de ce comportement. Les travaux de thèse présentés sont consacrés à l’étude et la modélisation de ce couplage. Tout d’abord, la transformation de phase martensitique provoque une déformation et une émission de chaleur couplées qui peuvent se localiser en bandes de transformation sous sollicitation uniaxiale. Une partie de cette thèse a été consacrée au développement de la Corrélation d’Images InfraRouge, qui permet à partir d’un unique film IR de mesurer conjointement, en une seule analyse, les champs cinématiques et thermiques discrétisés sur un même maillage éléments finis. Une application à l’analyse d’un essai de traction sur AMF de type NiTi a été réalisée. Le comportement pseudo-élastique a aussi été abordé d’un point de vue modélisation. Une large part de ce travail de thèse a donc été consacrée à l’élaboration d’un modèle multiéchelle et multiaxial, décrivant le comportement d’un VER à partir de la physique de la transformation martensitique à l’échelle de la maille cristalline. L’approche est inspirée de modèles multiéchelles développés pour la modélisation d’autres couplages multiphysiques et notamment magnéto-élastique. La troisième partie de cette thèse a été consacrée à l’élaboration d’un modèle de structure 1D sous traction uniaxiale. Dans un premier temps un modèle de thermique 1D ainsi qu’un modèle mécanique phénoménologique à seuils ont été développés. Les simulations rendent compte des phénomènes de transformation diffuse accompagnant l’élasticité puis de la transformation localisée. L’algorithme est notamment capable de gérer les deux sens de transformation. Ce modèle met en compétition les deux phénomènes transitoires de génération et évacuation de la chaleur par la transformation de phase et les échanges thermiques avec l’environnement. Ainsi, il est capable de reproduire la relation liant le nombre de bandes de transformation générées à la vitesse de sollicitation et aux conditions aux limites thermiques. Un travail été initié pour coupler ce modèle de structure et de gestion de la thermique au modèle monocristallin multiaxial. Sans encore reproduire la localisation de la transformation en bande, les simulations de traction montrent un hystérésis, issu des pertes thermiques dans l’air ambiant, bien que le modèle de comportement multiéchelle élémentaire soit écrit dans un cadre réversible, l’irréversibilité et la localisation étant avant tout des effets de transferts. Le couplage thermomécanique à la source des comportements si spécifiques des AMF que sont la super élasticité et la mémoire de forme ont donc été étudiés sous divers points de vue : expérimentalement, par l’établissement de modèles de comportement, par la simulation de structures 1D et des échanges thermiques mis en jeu. Les outils et modèles ont été appliqués à l’étude du Ni49,75at%Ti, support de ce travail, mais sont facilement adaptables à tout autre AMF. L’approche utilisée pour la modélisation multi-échelle peut être étendue à d’autres couplages, par exemple en cumulant les couplages thermo- et magnéto- mécaniques en vu de l’étude des Alliages à Mémoire de Forme Magnétiques par exemple. / The increasing use of Shape Memory Alloys (SMA) for complex structure, especially for medical applications, requires a better understanding of the phenomena governing their behaviors and particularly the super-elasticity. The strong thermomechanical coupling resulting from the martensitic phase transformation is a key point of this behavior. The thesis is devoted to the study and modeling of this coupling. First, the martensitic phase transformation causes coupled local deformation and heat emission that can locate onto transformation bands when structure undergoes uniaxial stress. A part of this thesis has been devoted to the development of InfraRed Image Correlation (IRIC). This technique permits us to measure by a single analysis, from a single IR film, both kinematic and thermal fields discretized on the same finite element mesh. An application to the analysis of a tensile test on a NiTi type AMF has been made. Superelastic behavior is also discussed from a modeling point of view. A large part of this work has been devoted to the development of multiaxial multiscale model describing the behavior of a RVE from the description of martensitic transformation at the crystal scale. The approach is inspired from multiscale models developed for modeling other multiphysic couplings especially the magneto-elastic coupling. It is based on the comparison of the free energies of each component, without any topological description. A probabilistic comparison is made, using a Boltzmann distribution, to determine the internal variables : the volume fractions. Interfaces are not taken into account. This model allows the simulation of the effect of any thermo-mechanical loading. It well gives account of the superelasticity, including the asymmetry in tension / compression ... The third part of this thesis has been devoted to the development of a one dimensional model for structure under uniaxial tension. In a first step, a 1D thermal model and a phenomenological mechanical model, based on the Clausius Clapeyron diagram have been developed. The simulations account for the diffuse transformation accompanying the elasticity at the very beginning of stress-strain behavior, and localized phase transformation afterthat. The algorithm is capable of handling two-way transformation. This model emphasizes competition both transient phenomena : generation and heat dissipation by the phase transformation and heat exchange with environment. Thus, it is able to reproduce relationship linking the number of nucleated transformation bands to the strain rate and the thermal boundary conditions. A study has been initiated to couple this model to the singlecrystalline multiaxial RVE model detailed in the previous part. It is currently not able to model the localization phenomenon, but the simulations show a tensile hysteresis issued from the thermal losses in the air. Indeed, even if the local multiscale model is written in a reversible way, irreversibility and the localization are primarily structural effects. The thermomechanical coupling is at the origin of the so specific AMF behavior (super elasticity and shape memory effect), it has been studied from various points of view: experimentally, by establishing RVE models, by simulating 1D structures and heat exchange. Developed tools and models have been applied to the study of Ni49, 75at% Ti, but are easily adaptable to other AMF. The approach used for the multi-scale modeling can be extended to other couplings, such as couplings cumulating the thermo-and magneto-mechanical aspect for the study of Magnetic Shape Memory Alloys for example.

La compréhension des phénomènes thermiques et mécaniques mis en jeu lors de la mise en forme des matériaux est généralement réalisée avec l’aide de simulations numériques. Ces simulations montrent leurs limites pour les procédés qui conduisent à de très grandes déformations de la matière. Dans ce cas, de très fortes distorsions du maillage se produisent pendant le calcul, entrainant une augmentation de l’erreur, voire l’arrêt prématuré de la simulation. Cette étude porte sur le développement d’une stratégie de remaillage adaptative afin d’éviter les distorsions des éléments pendant les simulations en grandes transformations. La méthode proposée a été intégrée dans un environnement de calcul utilisant le solveur ABAQUS/Explicit, un mailleur 3D et un algorithme de transfert de champ.La méthode h-adaptative en combinaison avec un critère de contrôle basé sur l’endommagement et un estimateur d’erreur de type Zienkiewicz-Zhu Z2 (SPR-amélioré) ont été implantés. Le maillage initial est remplacé par un nouveau maillage avec le niveau de qualité désiré par l’utilisateur, tout en minimisant le nombre des degrés de liberté. Cette technique s’est montrée robuste et entièrement automatique pour déterminer la taille optimale des nouveaux éléments. Une fois le nouveau maillage généré, toutes les variables doivent être soigneusement transférées. Plusieurs techniques de transfert sont décrites et comparées. Des améliorations permettant d’augmenter leurs efficacités en termes de diffusion de l’information et de stabilité numérique ont été proposées. Une attention particulière est portée à la restauration de l'équilibre mécanique local du système. Les différentes techniques développées ont permis de modéliser différents procédés entrainant de grandes déformations élastoplastiques avec endommagement. Dans toutes les applications testées, il a été montré une amélioration de la précision et de la qualité des résultats numériques obtenus. Pour des opérations d’usinage, des mesures de champs cinématiques à travers la technique de corrélation d’images ont été réalisées afin de déterminer les champs de déformation en pointe d’outil. Ces mesures ont servi à la validation de la simulation numérique à l’échelle locale. La comparaison des champs cinématiques expérimentaux avec ceux issus du calcul éléments finis met en évidence la robustesse du processus d’adaptation du maillage proposée pour retranscrire les phénomènes locaux observés expérimentalement. En effet, la reproduction de l’écoulement de la matière sur les bords et la géométrie du copeau sont en très bonne corrélation avec les résultats expérimentaux. Ce développement a permis de proposer une description nouvelle du processus de formation des bandes de cisaillement. / In this work, a fully automated adaptive remeshing strategy, based on a tetrahedral element to simulate various 3D metal forming processes, was proposed. The aim of this work is to solve problems associated with the severe mesh distortion that occurs during the computation and which may be incompatible with the evolution of the physical behavior of the FE solution. Indeed, the quality of the mesh conditions affects the accuracy of the calculations. The proposed strategy is integrated in a computational platform which integrates a finite element solver (Abaqus/Explicit), 3D mesh generation and a field transfer algorithm.The base idea is to use the h-adaptive methodology in the combination with a damage-criterion error and Zienkiewicz-Zhu Z2 type error estimator (SPR-improved) to locally control the mesh modification-as-needed. Once a new mesh is generated, all history-dependent variables need to be carefully transferred between subsequent meshes. Therefore, different transfer techniques are described and compared. An important part of this work concerns the presentation of the proposed modification of the field transfer operator and a special attention is given to restore the local mechanical equilibrium of the system. During the large elasto-plastic deformation simulation with damage, the necessary steps for remeshing the mechanical structure are presented. The several types of applications are also given. For all studied applications, the above strategy can improve the accuracy and quality of numerical results. It also has benefits to decide how refined a mesh needs to be to reach a particular level of accuracy, or how coarse the mesh can be without unacceptably impacting solution accuracy.For the machining processes, kinematic field measurements using Digital image Correlation were performed to validate the numerical simulation at the local level. The comparison of the experimental kinematic fields and those resulting from the FE calculation highlights the robustness of the proposed mesh adaptation process which can transcribe the experimental local phenomena. Also, the reproduction of the material flow at the edges and the chip are correlated with the experimental results accurately. Finally, the physical study of the numerical results can be allowed to propose an innovative description of ASB formation.

Le développement de méthodes d’identification de paramètres de lois de comportement de matériaux est devenu primordial pour avoir accès à la connaissance complète du comportement. En effet, les méthodes de mesure optiques, comme la Corrélation d’Images Numériques, permettent d’obtenir les quantités cinématiques de la relation de comportement sous forme de champs de vecteurs. En revanche, les contraintes ne sont généralement pas mesurables et il est nécessaire d’identifier les paramètres de la loi de comportement du matériau considéré pour y avoir accès. Plusieurs méthodes ont vu le jour et permettent de répondre à cette problématique mais la plupart d’entre elles supposent une homogénéité du matériau. Ce mémoire traite de l’application de certaines de ces méthodes, notamment la méthode de l’écart à l’équilibre (MEQ) et la méthode de recalage de modèle éléments finis (MREF), dans des matériaux hétérogènes à microstructure complexe où les propriétés mécaniques évoluent spatialement dans le volume. L’objectif est d’identifier ces propriétés mécaniques locales qui régissent la cinématique mesurée de tels matériaux dans le cadre de l’élasticité linéaire isotrope. Dans un premier temps, les deux méthodes citées sont décrites, implémentées et comparées sur des cas simulés en 2D. La MREF est préférée à la MEQ car plus robuste vis-à-vis des incertitudes de mesure. Basée sur un formalisme itératif, une parallélisation de l’algorithme a été opérée pour diminuer le coût en temps de la méthode. Des expérimentations dans le plan sur des éprouvettes en polyuréthane où les hétérogénéités sont maîtrisées ont permis de valider la méthode. Enfin, deux applications en 3D sur un matériau en mousse polyuréthane et un composite à base de fibres de bois démontrent l’intérêt d’une telle méthode pour l’identification de propriétés mécaniques locales. La mise en évidence d’une relation entre les propriétés locales identifiées et les propriétés locales de la microstructure de ces matériaux est effectuée. / The development of identification methods of material constitutive equation parameters has become fundamental to completely know the mechanical behavior. Indeed, optical methods, such as Digital Image Correlation, allows to get kinematics quantities of the constitutive equation as vectors fields. But, stresses are usually not available experimentally and one has to identify constitutive equation parameters to compute them. Several methods have been developed and answer to that problematic but most of them suppose the materials as homogeneous. This memoir is about the application of some of these methods, such as the equilibrium gap method (EGM) and the finite element model updating method (FEMU), in the case of heterogeneous materials with complex structures where mechanical properties vary spatially in the volume. The objective is to identify these local mechanical properties which rule the measured kinematics of such materials considering the isotropic linear elasticity. Firstly, both methods are detailed, implemented and compared on 2D simulated cases. The FEMU method is preferred because it is more robust in the presence of noisy data. Based on an iterative process, a parallelisation of the algorithm is achieved in order to reduce the cost of the method. In-plane experiments on polyurethane samples where heterogeneities are controlled have validated the method. Finally, two 3D applications on a polyurethane foam material and a wood-based fibrous composite have demonstrated the interest of this approach to identify local mechanical properties. The highlighting of a relationship between identified local properties and microstructural properties of these materials is made.

Du fait de leurs propriétés physiques et chimiques exceptionnelles à haute température par rapport aux métaux, les composites de carbure de silicium (SiC) sont étudiés comme éventuel matériau de gainage du combustible nucléaire dans les réacteurs de fusion ou fission avancée futurs, ainsi que, depuis plus récemment, dans les réacteurs à eau légère existants. Les tubes composites SiC/SiC tressés en 2D, fabriqués par procédé d'infiltration chimique en phase vapeur (CVI), présentent un comportement mécanique anisotrope, faiblement déformable (~ 1%). La maîtrise des relations entre la microstructure, l’endommagement et le comportement macroscopique est essentielle pour optimiser précisément le dimensionnement structurel de ce matériau pour les applications envisagées. Un paramètre de fabrication important est l'angle de tressage, angle entre les torons de fibres et l'axe du tube. L'objectif de ce travail est de fournir une compréhension détaillée de la relation endommagement-microstructure, en particulier des effets de l'angle de tressage sur les mécanismes d’endommagement. Dans ce but, une étude combinant observations expérimentales à macro et micro-échelle et simulations numériques est menée. Les tubes composites sont d’abord étudiés par des essais de traction in situ sous tomographie par rayons X. Les expériences ont été réalisées sur la ligne PSICHE du synchrotron SOLEIL sous faisceau rose polychromatique. Les images tridimensionnelles sont analysées par la technique de corrélation d’image volumique (DVC), complétée par une série d'algorithmes de traitement d'image originaux, développés spécifiquement pour analyser les microstructures 3D, mesurer les déformations à travers l'épaisseur du tube, détecter et caractériser quantitativement le réseau de microfissures créées par le chargement mécanique. De plus, les microstructures réelles, décrites par les images de haute résolution issues des tests in situ, sont utilisées dans les simulations numériques multi-échelle. Les champs de contrainte à l’échelle microstructurale sont calculés en régime élastique par une technique utilisant la transformée de Fourier rapide (FFT). Ils permettent de mieux comprendre l'initiation des fissures et d’interpréter les observations expérimentales par une comparaison directe. Ces approches expérimentales et numériques sont appliquées à trois tubes présentant différents angles de tressage (30 °, 45 ° et 60 °). L’influence de l'angle de tressage sur l'initiation et l'évolution de l’endommagement à cœur des composites est ainsi mise en évidence / Because of their outstanding physical and chemical properties at high temperature, in comparison with metals, silicon carbide (SiC) composite materials are studied as possible nuclear fuel cladding materials either for future advanced fission/fusion reactors, or more recently, for the currently existing light water reactors. 2D-braided SiC/SiC composite tubes, manufactured by chemical vapor infiltration (CVI), exhibit an anisotropic, hardly deformable (~1%) mechanical behavior. Understanding the relations between the microstructure, the damage mechanisms and the macroscopic behavior is essential to optimize the structural design of this material for the considered applications. One important manufacturing parameter is the braiding angle, i.e. the angle between the fiber tows and the tube axis. The objective of this work is to provide a comprehensive understanding of the damage-microstructure relations, in particular of the effects of the braiding angle on the damage mechanisms. For this purpose, an investigation combining experimental observations at macro and micro-scale and numerical simulations is developed. The composite tubes are first studied through in situ tensile testing under X-ray computed tomography. Experiments were carried out on the PSICHE beamline at synchrotron SOLEIL using a pink polychromatic beam. The recorded 3D images are processed using the digital volume correlation (DVC) technique, extended by a series of advanced image processing algorithms specifically developed in order to analyze the 3D microstructures, to measure the deformations through the tube thickness, and to detect and quantitatively characterize the network of micro-cracks created by the mechanical loading. In addition, numerical simulations are performed on the real microstructures as observed in the high-resolution images recorded during the in situ tests. Stress fields are calculated at the microstructural scale in the elastic regime using a numerical tool based on the Fast Fourier Transform (FFT). They help to better understand crack initiation and interpret the experimental observations within one-to-one comparisons. Both the experimental and numerical approaches are applied to three tubes with different braiding angles (30°, 45° and 60°). The effect of the braiding angle on the initiation and evolution of damage in the bulk of the composite materials can thus be highlighted