The failure mechanism in ductile materials involves void nucleation, their growth and subsequent coalescence to form the fracture surface. The voids are generated due to fracture or debonding of second phase particles or at slip band intersections. The triaxial stress field prevailing around a crack tip and in the necking region strongly influences the growth of these voids. In the initial stages of deformation, these microscale voids are often sufficiently small so that they exist entirely within a single grain of a polycrystalline material. Further, single crystals are used in high technology applications like turbine blades. This motivates the need to study void growth in a single crystal while investigating ductile fracture. Thus, the objectives of this work are to analyze the interaction between a notch tip and void as well as the growth and coalescence of a periodic array of voids under different states of stress in ductile FCC single crystals. First, the growth of a cylindrical void ahead of a notch tip in ductile FCC single crystals is studied. To this end, 2D plane strain finite element simulations are carried out under mode I, small scale yielding conditions, neglecting elastic anisotropy. In most of these computations, the orientation of the FCC single crystal is chosen so that notch lies in the (010) plane, with notch front along the [101] direction and potential crack growth along [101]. This orientation has been frequently observed in experimental studies on fracture of FCC single crystals. Three equivalent slip systems are considered which are deduced by combining three pairs of 3D conjugate slip systems producing only in-plane deformation. Attention is focused on the effects of crystal hardening, ratio of void diameter to spacing from the notch on plastic flow localization in the ligament connecting the notch and the void as well as their growth. The results show strong interaction between slip shear bands emanating from the notch and angular sectors of single slip forming around the void leading to intense plastic strain development in the ligament. However, the ductile fracture processes are retarded by increase in hardening of the single crystal and decrease in ratio of void diameter to spacing from the notch. In order to examine the effect of crystal orientation, computations are performed with an orientation wherein the three effective slip systems are rotated about the normal to the plane of deformation. A strong influence of crystal orientation on near-tip void growth and plastic slip band development is observed. Further, in order to study the synergistic, cooperative growth of multiple voids ahead of the notchtip, an analysis is performed by considering a series of voids located ahead of the tip. It is found that enhanced void growth occurs at higher load levels as compared to the single void model. Next, the growth and coalescence of a periodic array of cylindrical voids in a FCC single crystal is analyzed under different stress states by employing a 2D plane strain, unit cell approach. The orientation of the crystal studied here considers [101] and [010] crystal directions along the minor and major principal stress directions, respectively. Three equivalent slip systems, similar to those in the notch and void simulations are taken into account. Fringe contours of plastic slip and evolution of macroscopic hydrostatic stress and void volume fraction are examined. A criterion for unstable void growth which leads to onset of void coalescence is established. The effects of various stress triaxialities, initial void volume fraction and hardening on void growth and coalescence is assessed. It is observed that plastic slip activity around the void intensifies with increase in stress triaxiality. The macroscopic hydrostatic stress increases with deformation, reaches a peak value and subsequently decreases rapidly. An increase in stress triaxiality enhances the macroscopic hydrostatic stress sustained by the unit cell and promotes void coalescence. The stress triaxiality also has a profound effect on the shape of the void profile. The values of critical void volume fraction and critical strain, which mark onset of void coalescence, decrease within crease in stress triaxiality. However, the onset of void coalescence is delayed by increase in hardening and decrease initial void volume fraction.

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Title: Physical properties of ultrafine-grained magnesium based alloys prepared by various severe plastic deformation techniques Author: Jitka Stráská Department / Institute: Department of Physics of Materials Supervisor of the doctoral thesis: Doc. RNDr. Miloš Janeček, CSc. Abstract: The objective of the doctoral thesis is the complex investigation of ultrafine-grained magnesium alloy AZ31 prepared by two different severe plastic deformation techniques, in particular the hot extrusion followed by equal-channel angular pressing (EX-ECAP) and high pressure torsion (HPT). These severe plastic deformation methods, and as well as many others, are described in detail in the introductory theoretical section. Experimental results are summarized in the following experimental part of the thesis. Mechanical properties, lattice defect structure and especially microstructure were investigated using various experimental techniques. Thermal stability of ultrafine-grained microstructure of AZ31 after EX-ECAP was investigated and the activation energies for grain growth in different temperature ranges were calculated using kinetic equation for grain growth and Arrhenius equation. Results from the dislocation density measurements proved temperature ranges of the recovery and the following grain growth. Results from the...

La surface des pièces mécaniques est une zone sensible soumise à des conditions de sollicitations particulières, tant mécaniquement (frottement, contrainte maximale) que chimiquement (atmosphère ambiante, corrosion). Ainsi, la ruine des pièces de service est généralement initiée en surface ; les grands secteurs industriels sont donc à la recherche de solutions technologiques permettant une amélioration des propriétés mécaniques globales par une modification des propriétés de surface. De nombreuses techniques ont été développées dans ce but, notamment les traitements de surface mécaniques. Parmi ceux-ci, le grenaillage ultrasonique permet de déformer sévèrement et superficiellement les pièces par de nombreux impacts de billes ayant des trajectoires aléatoires au sein de la chambre de traitement. Le propos de cette étude repose sur l'analyse et la compréhension des microstructures de déformation induites par un traitement de grenaillage ultrasonique, particulièrement sous conditions cryogéniques ; sujet très peu exploré à ce jour voir nouveau concernant i) des métaux susceptibles de subir une transformation martensitique et ii) l'influence d'un tel traitement sur la tenue en fatigue cyclique. Pour ce faire, plusieurs nuances d'aciers inoxydables austénitiques présentant des stabilités différentes vis-à-vis de la transformation de phase ont été traitées à très basses températures et les propriétés obtenues ont été comparées à celles mesurées sur les échantillons traités à température ambiante. Les premières observations ont montré que, suite à un traitement sous condition cryogénique (-130 °C), une baisse de dureté intervient en sous-couche de l'alliage 310S stable, associée à une hausse des propriétés mécaniques sous basse température rendant le matériau plus difficile à écrouir. Ce phénomène est complètement supprimé au sein de l'alliage métastable 304L par une transformation martensitique facilitée, intervenant plus profondément qu'à température ambiante et entrainant une augmentation de la dureté de sous-couche. Deux alliages métastables (304L et 316L) ont donc été sélectionnés afin de détailler l'influence des paramètres de traitement sur le durcissement de sous-couche par une étude paramétrique comprenant l'amplitude de vibration (40 et 60 µm), la durée (3 et 20 min) ainsi que la température de traitement (ambiante, -80 et -130 °C). Il en ressort qu'augmenter l'énergie de traitent par une hausse de l'amplitude et/ou de la durée de grenaillage entraine une augmentation des duretés de surface et de sous-couche, accompagnée par la production de couches durcies plus épaisses. L'utilisation de températures cryogéniques permet une augmentation du potentiel de durcissement, et ce principalement en sous-couche. En associant les gradients de dureté aux distributions de martensite le long des épaisseurs affectées, il a été montré que la fraction de martensite était directement liée au potentielle de durcissement en profondeur. La fraction de martensite produite étant dépendante de la température de déformation et, afin de prendre en compte la stabilité initiale de l'alliage comme paramètre additionnel, des mesures complémentaires ont été faites sur l'alliage 316L plus stable. Les résultats ont alors montré qu'il est primordial d'adapter la température de traitement à la stabilité de l'échantillon afin d'optimiser l'efficacité du durcissement de sous-couche et éviter ainsi une baisse de la dureté en profondeur. Finalement, les structures de déformation obtenues sous condition cryogénique ont été reliées à la tenue mécanique sous sollicitations cycliques en flexion rotative. Comparé à un traitement réalisé à température ambiante, un grenaillage cryogénique permet une baisse la rugosité de surface et la production de contraintes résiduelles de compression plus élevées par la présence de martensite. Cependant, une plus grande relaxation de ces dernières associée à une réduction de l'épaisseur [...] / The surface of mechanical components is a sensitive zone subjected to particular mechanical (friction, maximum stress) and chemical (ambient atmosphere, corrosion) interactions. Hence, the rupture is generally initiated on the surface. In order to increase the global integrity of the working parts, the industrial groups are still seeking technological solutions allowing the modifications of the surface properties. Nodaway, plenty of surface modification techniques have been developed like the mechanical surface treatments. Among them, the ultrasonic shot peening (or surface mechanical attrition treatment) focus on superficially deform the mechanical parts through numerous collisions of peening medias having random trajectories inside a confined chamber. The purpose of this study is based on the analysis and the comprehension of the deformed microstructures induced by the ultrasonic shot peening treatment, especially under cryogenic temperatures. To do so, several austenitic stainless steel grades having different stabilities regarding the martensitic transformation have been treated under cryogenic conditions and compared to the properties obtained under room temperature. The first observations have shown that, after a cryogenic peening, a decrease of the subsurface hardness takes place in the stable 310S alloy which was attributed to an increase of the mechanical properties under cryogenic temperature. This phenomenon is suppressed in the metastable 304L by triggering a martensitic phase transformation promoted under low temperature and happening deeper compared to room temperature, increasing substantially the subsurface hardness. Two metastable alloys (304L and 316L) were then selected to conduct an ultrasonic shot peening parametric study including the vibration amplitude (40 and 60 µm), the treatment duration (3 and 20 min) and temperature (room temperature, -80 and -130 °C). It has been shown that increasing the treatment energy by raising the vibration amplitude and/or the duration leads to an increase of the surface and subsurface hardnesses as well as the affected layer thickness. The use of cryogenic temperatures allows an additional increase of the hardness, especially in subsurface. By comparing the different hardness gradients with the martensite distributions along the hardened layers, a direct correlation with the hardening rate and the martensite fraction was observed. The initial stability of the treated material was also taken in account by carried out additional observations on the 316L having a higher stability. The results have indicated that the deformation temperature needs to be wisely chosen regarding the stability of the processed material in order to avoid a decrease of the subsurface hardness. Finally, the deformed microstructures generated under cryogenic ultrasonic shot peening were associated to the mechanical behaviors of cylindrical specimens using rotating bending fatigue tests. Compared to a room temperature treatment, a cryogenic peening allows a decrease of the surface roughness and the generation of higher surface compressive residual stresses by the formation of martensite. However, compared to a room temperature treatment, the fatigue behavior was not increased after a cryogenic peening because of a more pronounced surface residual stress relaxation and a reduction of the affected layer. However, the potential increase of the fatigue life after a cryogenic surface deformation was depicted by the study of the rupture surfaces. It was observed that, if the involvement of the surface defects introduced by the high surface roughness can be lowered, a single subsurface crack initiation can be produced increasing considerably the fatigue behavior of the processed material

Made available in DSpace on 2016-12-08T15:56:17Z (GMT). No. of bitstreams: 1 Andre Olah Neto.pdf: 11111826 bytes, checksum: 36a7c3a3c11e61f18d8a74f06d619cc0 (MD5) Previous issue date: 2015-04-10 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In recent decades the automobile industry has made a great effort to deal with ecological and security challenges. To do so, it was necessary to develop vehicles which are lighter, more economical and have a greater intrusion resistance when subjected to a crash. This was made possible, among other actions, by the development of advanced high strength steels, associated with the use of new manufacturing processes. Inside this approach the use of the hot stamping and the emergence of 22MnB5 boron-alloyed steel, with high hardenability, stand up. The hot stamping operation has gained great importance for enabling the manufacture of strategic components of high complexity and high mechanical resistance, associated with reasonable toughness. In order to ensure its technological evolution this process has been widely studied by numerous authors, so that the phenomenon was better understood, allowing better control as well as the quality and reliability requirements involved in the stamped components. This focus led to the development of this work, whose main objective was to study the hot stamping process, evaluating the mechanical and thermal effects. To achieve this aim an experimental apparatus was developed which allowed simulating the main thermomechanical aspects involved, such as the temperature, the conformation and the cooling. The purpose was to reproduce the conditions of the process and evaluate the influence of certain variables of the cooling speed on microstructure and on the final properties of the material, in order to study and understand some phenomena involved. This apparatus was composed of a heating furnace, an aluminum cooler, water cooled, operated at low pressure of closing and a control system, assembled on a mechanical testing 12 machine to promote the desired deformation. The experimental work was carried out in three stages. Initially, the hot plastic behavior of 22MnB5 steel was studied, evaluating the effect of temperature and strain rate on the mechanical characteristics, to determine the conditions for necking formation. In the second stage, the kinetics of phase transformation was studied, seeking to understand the effect of heating and cooling conditions on the cooling rate and on the final properties after quenching. In the last step, the plastic behavior on the kinetics of phase transformation, i.e., the effect of necking on cooling, was studied. The main objective was to show that the necking, depending on its intensity and geometry, generates the formation of a clearance between the cooler and the surface material, reducing the cooling rate to the point of affecting the mechanical properties in this region. Despite being localized, it can jeopardize the stamped component performance forming a fragile region of low mechanical strength and low toughness. It was concluded that hot plastic deformation undergone during the hot-stamping has a significant influence on the phase transformation, being necessary the proper control of process conditions so that the necking is also controlled, thus ensuring the structural homogeneity of the component and its performance. / Nas últimas décadas a indústria automobilística tem realizado um grande esforço em atender os desafios ecológicos e de segurança e para isto foi necessário desenvolver veículos mais leves, econômicos e com maior resistência à intrusão quando submetidos a um acidente. Isto foi alcançado, entre outras ações, através do desenvolvimento de aços avançados de elevada resistência mecânica, associado à utilização de novos processos de fabricação. Dentro deste enfoque se destaca dois aspectos, a utilização do processo de estampagem a quente e o surgimento do aço 22MnB5 de elevada temperabilidade ligado ao boro. A operação de estampagem a quente tem ganhado uma forte importância por possibilitar a fabricação de componentes estratégicos de elevada complexidade e elevada resistência mecânica, associada à razoável resistência ao impacto. No sentido de garantir sua evolução tecnológica este processo tem sido amplamente estudado por inúmeros autores, para que os fenômenos envolvidos pudessem ser mais bem entendidos, permitindo um melhor controle bem como o atendimento dos requisitos de qualidade e a confiabilidade envolvida nos componentes estampados. Com este enfoque desenvolveu-se este trabalho, cujo principal objetivo foi estudar o processo de estampagem a quente, avaliando os efeitos mecânicos e térmicos. Para este fim foi desenvolvido um aparato experimental, que permitiu simular os principais aspectos termomecânicas envolvidos, como a temperatura, a conformação e o resfriamento. O propósito foi o de reproduzir as condições do processo e avaliar a influência de determinadas variáveis sobre a velocidade de resfriamento, sobre a microestrutura e sobre as propriedades finais do material, no sentido de estudar e entender 10 alguns fenômenos envolvidos. Este aparato foi dotado de um forno de aquecimento, de um resfriador de alumínio refrigerado a água, operado a baixa pressão de fechamento e de um sistema de controle, montados sobre uma máquina de ensaios mecânicos para promover a deformação desejada. O trabalho experimental foi realizado em três etapas. Inicialmente foi estudado o comportamento plástico a quente do aço 22MnB5, avaliando-se o efeito da temperatura e da velocidade de deformação sobre as características mecânicas, determinando-se as condições para formação da estricção. Na segunda etapa foi estudada a cinética de transformação de fase, procurando-se entender o efeito das condições de aquecimento e do resfriamento sobre a velocidade de resfriamento e sobre as propriedades finais deste aço após têmpera. Na última etapa se relacionou o comportamento plástico sobre a cinética de transformação de fase, ou seja, o efeito da estricção sobre o resfriamento. O objetivo principal foi mostrar que a estricção, dependendo de sua intensidade e geometria, gera a formação de uma folga localizada entre a superfície do resfriador e do material, reduzindo a velocidade de resfriamento a ponto de afetar as propriedades mecânicas nesta região. Apesar de localizada esta folga pode comprometer o desempenho do componente estampado formando uma região de pouca resistência mecânica. Concluiu-se que a deformação plástica a quente sofrida durante a estampagem a quente apresenta uma significativa influência sobre a transformação de fase, sendo necessário o controle adequado das condições do processo para que a estricção também seja controlada, garantindo assim a homogeneidade estrutural do componente e o seu desempenho.

Plastic flow in bulk metallic glasses (BMGs) localizes into narrow bands, which, in the absence of a microstructure that could obstruct them, propagate unhindered under tensile loading. In constrained deformation conditions such as indentation and at notch roots, extensive shear band formation can occur. A key issue in the context of fracture of BMGs that is yet to be understood comprehensively is how their toughness is controlled by various state parameters. Towards this end, the change in fracture toughness and plasticity with short term annealing above and below the glass transition temperature, Tg, is studied in a Zr-based BMG. Elastic properties like shear modulus, Poisson's ratio as well as parameters defining the internal state like the fictive temperature, Tf, density, and free volume are measured and correlation with the toughness was attempted at. While the elastic properties may help in distinguishing between tough and brittle glasses, they fail to reveal the reasons behind the toughness variations. Spherical-tip nanoindentation and microindentation tests were employed to probe the size, distributions and activation energies of the microscopic plastic carriers with the former and shear band densities with the latter. Results indicate that specimens annealed at a higher temperature, Ta, exhibit profuse shear banding with negligible changes in the local yield strengths. Statistical analysis of the nanoindentation data by incorporating the nucleation rate theory and the results of the cooperative shear model (CSM), reveals that short term annealing doesn't alter the shear transformation zone (STZ) size much. However, density estimates indicate changes in the free volume content across specimens. A model combining STZ activation and free volume accumulation predicts a higher rate in the reduction of the cumulative STZ activation barrier in specimens with a higher initial free volume content. Of the macroscopic physical properties, the specimen density is revealed to be a useful qualitative measure of enhancement in fracture toughness and plasticity in BMGs. We turn our attention next to the brittle fracture in BMGs, with the specific objective of understanding the mechanisms of failure. For this purpose, mode I fracture experiments were conducted on embrittled BMG samples and the fracture surface features were analyzed in detail. Wallner lines, which result from the interaction between the propagating crack front and shear waves emanating from a secondary source, were observed on the fracture surface and geometric analysis of them indicates that the maximum crack velocity to be ~800 m/s, which corresponds to ~0.32 times the shear wave speed. Fractography reveals that the sharp crack nucleation at the notch tip occurs at the mid-section of the specimens with the observation of flat and half-penny shaped cracks. On this basis, we conclude that the crack initiation in brittle BMGs occurs through hydrostatic stress assisted cavity nucleation ahead of the notch tip. High magnification scanning electron and atomic force microscopies of the dynamic crack growth regions reveal highly organized, nanoscale periodic patterns with a spacing of ~79 nm. Juxtaposition of the crack velocity with this spacing suggests that that the crack takes ~10-10 s for peak-to-peak propagation. This, and the estimated adiabatic temperature rise ahead of the propagating crack tip that suggests local softening, are utilized to critically discuss possible causes for the nanocorrugation formation. The Taylor’s fluid meniscus instability is unequivocally ruled out. Then, two other possible mechanisms, viz. (a) crack tip blunting and resharpening through nanovoid nucleation and growth ahead of the crack tip and eventual coalescence, and (b) dynamic oscillation of the crack in a thin slab of softened zone ahead of the crack-tip, are critically discussed. One way of alleviating the fracture-related issues in BMGs is to impart a microstructure to it, which would either impede the growth of shear bands or promote the multiplication of them. One such approach is through the BMG composites (BMGCs) route, wherein a crystalline second phase incorporated in the BMG matrix. There is a need to study the effects of reinforcement content, size and distribution on the mechanical behavior of the BMGC so as to achieve an optimum combination of strength and ductility. For this purpose, an investigation into the microstructure and tensile properties of Zr/Ti-based BMG composites of the same composition, but produced by different routes, was conducted so as to identify “structure–property” connections in these materials. This was accomplished by employing four different processing methods—arc melting, suction casting, semi-solid forging and induction melting on a water-cooled copper boat—on composites with two different dendrite volume fractions, Vd. The change in processing parameters only affects microstructural length scales such as the interdendritic spacing, λ, and dendrite size, δ, whereas compositions of the matrix and dendrite are unaffected. Broadly, the composite’s properties are insensitive to the microstructural length scales when Vd is high (∼75%), whereas they become process dependent for relatively lower Vd (∼55%). Larger δ in arc-melted and forged specimens result in higher ductility (7–9%) and lower hardening rates, whereas smaller dendrites increase the hardening rate. A bimodal distribution of dendrites offers excellent ductility at a marginal cost of yield strength. Finer λ result in marked improvements in both ductility and yield strength, due to the confinement of shear band nucleation sites in smaller volumes of the glassy phase. Forging in the semi-solid state imparts such a microstructure.

La défaillance des pièces mécaniques est très souvent initiée par un défaut de surface. Par conséquent, la génération de contraintes résiduelles compressives sur des pièces mécaniques via une déformation plastique hétérogène améliore la tenue en fatigue et augmente la durée de vie des pièces. Parmi les procédés permettant d'introduire des contraintes résiduelles dans les pièces, le traitement par choc laser est plus intéressant à plusieurs titres. D'une part, il permet de produire des pressions en surface du matériau de l'ordre de 1 à 6 GPa sur de courtes durées d'impulsion allant de 3 à 30 nanosecondes. D'autre part, il offre la possibilité d'introduire des contraintes résiduelles de compression sur une certaine profondeur tout en conservant l'état initial de la pièce traitée. Ainsi, les simulations numériques par réalisation de modèles simples permettent de cerner les physiques mises en jeux. Dans cette perspective, la méthode semi-analytique offre d'énormes avantages, notamment la simplicité des modèles et la réduction des temps de calcul. Cependant, cette méthode n’a jamais été étendue aux problème dynamiques. Dans cette thèse la méthode semi-analytique a été étendue aux problèmes dynamiques et le modèle mis en place été appliqué pour la simulation du procédé de choc Laser / The failure of the mechanical parts is very often initiated by a surface defects. Consequently, the generation of compressive residual stresses on mechanical parts by introducing a heterogeneous plastic strain improves the resistance to fatigue and increases the lifetime of the parts. Among the processes making it possible to introduce residual stresses into the parts, the laser shock peening is more interesting for several reasons. On the one hand, it makes it possible to produce pressures on the surface of material of about 1 to 6 going GPa over short pulse times from 3 to 30 nanoseconds. In addition, he gives the opportunity of introducing residual stresses of compression on a certain depth while preserving the initial state of the treated part. The numerical simulation becomes necessary to determine the best physical phenomena involved. Thus, the semi-analytical method offers a lot of advantages, in particular the simplicity of the models and the computation times saving. This method was never extended to the dynamic problems. In this thesis the semi-analytical method was extended to the dynamic problems and the model implemented is applied for the simulation of the Laser process of shock.

Magnesium alloys, owing to their low density and high specific strength, are potential candidates for structural applications in automotive and aerospace industry. While considerable research effort has been devoted in recent years to understand deformation twinning in these alloys and Mg single crystals, only few studies have been conducted on their fracture behavior. This issue assumes importance since some investigations have shown that Mg alloys may possess low fracture toughness (less than Al alloys). Therefore, a combined experimental and numerical study of fracture in Mg single crystals under mode-I loading is performed in this work. The fracture experiments are conducted using three point bend(TPB) specimens inside a scanning electron microscope(SEM) stage equipped with specially designed fixtures. Three crystallographic orientations are considered where c-axis [0001] is along the normal to the flat surface of the notch in the first two orientations, while in the third it is aligned with the notch front. In-situ electron back scattered diffraction (EBSD) observations are made in the region around the notch root to monitor the evolution of tensile twinning on the specimen free surface. Along with EBSD, optical metallography, fractography and surface profilometry are also performed on the specimens to obtain a comprehensive understanding on the micromechanics of fracture in Mg single crystals. From the EBSD data, it is noticed that all the orientations show profuse tensile twinning of {1012}-type. Further, in the first two orientations, basal and prismatic slip traces are identified along with secondary basal slip inside the twins. The growth of the most prominent twin is monitored as a function of load and it is found that its width saturates at around 120 -150 μm, while twins continue to nucleate farther away to accommodate plastic deformation. The 3D nature of twinning is examined by comparing distribution of twin traces and the average twin volume fraction at the free surface and the mid-plane. It is noted that in all the orientations crack initiation occurs before the attainment of peak load and the crack grows stably along twin-matrix interface. Further, zigzaging of the crack path occurs due to deflection of the crack at the twin-twin intersections. It is found that profuse tensile twinning is an important energy dissipating mechanism that enhances the toughness of the material. Indeed, the experimental results show that the energy release rate J versus load histories corroborate with evolution of average twin volume fraction around the notch root. In order to gain further insights on the mechanics of fracture in Mg single crystals, 3D finite element simulations are carried out using a crystal plasticity framework, which includes crystallographic slip and twinning. The predicted load-displacement curves, slip traces and tensile twinning activity from finite element analysis are in good corroboration with the experimental observations. The numerical results are used to understand the 3D nature of the crack tip stress, plastic slip and twin volume fraction distributions near the notch root. The occurrence of tensile twinning in all three orientations is rationalized from the distribution of nor-mal stress ahead of the notch tip. In particular, compressive normal stress beyond the plastic hinge point causes out-of-plane bulging that is accompanied by tensile twinning for the third orientation in which the c-axis is aligned along the specimen thickness. The above behavior emphasizes the importance of tensile twinning since this orientation has relevance to polycrystalline Mg alloys that have a basal texture.

Cette thèse est divisée en deux parties principales : La première partie concerne la déformation plastique d'un matériau contraint. Nous commençons cette partie par une introduction physique sur la dislocation et son rôle dans l'étude de la déformation plastique. Nous exposons ensuite deux types de modélisation de la déformation plastique ce qui nous conduit à deux équations différentielles à retard de Mecking-Lüke-Grilhé. Nous présentons une analyse mathématique complète des deux modèles linéaire et non linéaire. Nous terminons cette partie par des tests numériques et une comparaison des deux modèles. La deuxième partie de la thèse traite l'instabilité de Rayleigh-Plateau. Cette étude porte sur les instabilités de surface d'un pore cylindrique sans contraintes. Nous nous intéressons à une EDP parabolique non linéaire d'ordre quatre, obtenue à partir d'une équation d'évolution des films minces. Le résultat principal est l'existence globale de la solution et la convergence vers la valeur moyenne de la donnée initiale en temps long. L'étude théorique est aussi appuyée comme dans la première partie par une validation numérique. / This thesis is divided into two main parts: The first part relates to the plastic deformation of a constrained material. We begin this part by physical introduction on the dislocation and its role in the study of plastic deformation. We also present two types modelling for the plastic deformation, which leads to two delayed differential equations of Mecking-Lücke-Grilhé. We present a complete mathematical analysis of linear and nonlinear models. We conclude this part by numerical tests and a comparison of the two models. The second part of the thesis treats the Rayleigh-Plateau instability. This study focuses on the surface instabilities of a cylindrical pore without constraints. We are interested in a nonlinear parabolic PDE of fourth order, obtained from an evolution equation model of thin films. The main result is the global existence of the solution and the convergence to the average value of the initial data in long time. Numerical validation of the theoretical results is also presented in this part.

L'hyperdéformation est une technique efficace pour transformer la microstructure des métaux en une structure de grain de taille inférieure au micron ou même en nanostructure (<100 nm). Cette très petite taille de grain confère d'excellentes propriétés mécaniques au matériau. Dans ce travail de thèse, deux techniques d'hyperdéformation récemment développées, appelées High Pressure Tube Twisting (HPTT) and Cyclic Expansion and Extrusion (CEE) ont été appliquées à température ambiante sur différents matériaux métalliques. La fragmentation de la microstructure ainsi que le développement de la texture cristallographique ont été analysés en détails par la diffraction d'électrons rétrodiffusés (EBSD), par microscopie électronique en transmission (TEM), par transmission Kikuchi diffraction (TKD) ainsi que par diffraction des rayons X (XRD). Le gradient de déformation de cisaillement dans l'épaisseur des tubes d'aluminium déformés par HPTT a été déterminé par une méthode de mesure locale du cisaillement. Ce gradient de cisaillement induit une hétérogénéité aussi bien de microstructure que de texture dans les échantillons d'aluminium et de magnésium purs ainsi que dans l'alliage Al-4%Mg en solution solide. La micro-dureté et la taille de grain dans différentes zones ont été mesurées et analysées en fonction du taux cisaillement local. Les tailles de grain limites atteintes de façon stationnaire pour ces différents matériaux produit par HPTT sont respectivement de 700 nm, 900 nm et 100 nm. L'évolution de texture du magnésium pur après HPTT jusqu'à un cisaillement de 16 a été simulée par cisaillement simple par le model auto-cohérent (VPSC), le résultat de simulation a montré de bons accords avec les mesures de texture obtenues par XRD. Sur la base des mesures de distribution de désorientation dans l'aluminium déformé par HPTT, une nouvelle technique de détermination du taux de cisaillement local dans les procédés d'hyper déformation a été proposée. Cette nouvelle technique a été appliquée sur deux échantillons d'aluminium produit par twist extrusion (TE) et par torsion à extrémités libres. Les échantillons d'aluminium et de cuivre ont été déformés intensément par CEE. Les évolutions de texture et de microstructures ont été mesurées par EBSD, montrant un gradient du centre à la périphérie des échantillons cylindriques. L'évolution de texture dans le cuivre déformé par CEE a été simulée par le modèle VPSC en utilisant un modèle de ligne de courant pour décrire la déformation dans le procédé. Les résultats de simulation confirment les caractéristiques de la texture expérimentale observées après CEE. Le comportement en traction du cuivre pré-déformé par grande déformation en torsion a ensuite été testé. En dépit du gradient de cisaillement existant dans la barre, une technique a été proposée pour obtenir la courbe contrainte-déformation pour ce type de matériau. / Severe plastic deformation (SPD) is an efficient technique to transform the microstructure of bulk metals into ultra fine grained structure with grain sizes less than 1 µm or even into nanostructure with nano-grains of less than 100 nm in diameter. The very small grain size attributes excellent mechanical properties to the material. In present thesis work, two recently developed SPD techniques, namely, High Pressure Tube Twisting (HPTT) and Cyclic Expansion and Extrusion (CEE) were performed on different metallic materials at room temperature. Details of fragmentation of microstructure and metallographic texture evolution were investigated by electron backscattered diffraction (EBSD), transmission electron microscopy (TEM), transmission kikuchi diffraction (TKD) and X-ray diffraction (XRD). Shear strain gradient across the thickness of the HPTT deformed Al tube sample was found by a local shear measurement method. This shear strain gradient induced the inhomogeneity of microstructure and texture in HPTT deformed pure Al, solid solution alloy Al-4%Mg and pure Mg. The microhardness and average grain size in different zones as a function of shear strain were measured. The limiting steady grain sizes in the steady state for these different materials produced by HPTT were 700 nm, 100 nm and 900 nm, respectively. The texture evolution of pure Mg in HPTT up to a shear strain of 16 was simulated in simple shear using the self-consistent (VPSC) polycrystal model and showed good agreements with the experimental results measured by XRD. Based on the measured disorientation distribution function in HPTT deformed Al, a new technique for the magnitude of local shear strain in SPD was proposed. This new technique was applied to a protrusion produced in twist extrusion (TE) and to an Al sample deformed in free-end torsion. Cu and pure Al samples were intensively deformed by the CEE SPD technique. The microstructure and texture evolutions were measured by EBSD, showing a gradient from the center-zone to the edge part of the rod sample. The texture evolution of CEE deformed Cu was simulated by the VPSC polycrystal model using a flow line function. The simulation results confirmed the experimental texture features observed in the CEE process. The tensile testing behavior of large strain torsion pre-processed Cu was examined. In spite of the shear strain gradient existing in the bar, a technique was proposed to obtain the tensile stress-strain curve of such gradient material.