[pt] Bandas de cisalhamento ocorrem quando há a localização de deformações inelásticas provenientes de esforços cisalhantes em regiões estreitas de um material. Estas estruturas podem influenciar diretamente nas propriedades dos materiais, além de afetar sua integridade e contribuir para o início de falhas estruturais. Este trabalho apresenta uma metodologia para a caracterização das bandas de cisalhamento na rocha carbonática Indiana Limestone por meio de modelagens numéricas utilizando o método dos elementos finitos (MEF). Ao modelar o fenômeno de localização de deformações, o MEF apresenta algumas limitações como perda da elipticidade das equações governantes, produzindo problemas de convergência e resultados dependentes da discretização de malha. Algumas alternativas para superar estes inconvenientes são apresentadas e discutidas, com especial enfase dada à técnica de regularização viscosa utilizada nas modelagens numericas de ensaios biaxiais e triaxiais. Estudos parametricos e de sensibilidade foram conduzidos para identificar o impacto das propriedades mecânicas na ocorrencia das bandas de cisalhamento. Os resultados mostraram que as propriedades de resistência, o uso de leis de fluxo não associadas e o amolecimento por deformação são os fatores que mais influenciam na iniciação e desenvolvimento das bandas de cisalhamento. / [en] Shear bands occur when inelastic shear deformation localize in narrow regions of the material. These structures can directly influence the properties of materials, in addition to affecting their integrity and contributing to the initiation of structural failures. This study presents a methodology for the characterization of shear bands in Indiana Limestone carbonate rock through numerical modeling using the finite element method (FEM). As it is known, the numerical modeling of strain localization phenomena using FEM has some drawbacks, such as loss of ellipticity of the governing equations, triggering convergence problems and results dependent on the mesh discretization. Some alternatives to overcome these problems are presented and discussed, giving a special emphasis to the viscous regularization technique used in the numerical modeling of biaxial and triaxial tests. Parametric and sensitivity studies were performed to identify the impact of the mechanical properties on the occurrence of shear bands. The results showed that strength properties, non associative flow rules and strain-softening are the factors with larger influence on the initiation and development of shear bands.

No description available.

Ce travail de thèse considère les modes de déformations des verres métalliques produits sous différentes formes (verres massifs, rubans et particules). La déformation hétérogène dans des échantillons massifs de verres métalliques à base de zirconium est étudiée par microscopie électronique à balayage. Le dégagement rapide de l'énergie élastique stockée sous forme de chaleur lors de la déformation est responsable de la fusion locale observée dans les bandes de cisaillement. Le calcul du profil de température autour d'une bande par un modèle analytique est cohérent avec les observations morphologiques et les rapports d'apparition de nano-cristaux dans la zone déformée. La mise en forme par recuit des rubans de verres métalliques a été étudiée. L'étude aboutit à la mise en forme sans fragilisation des rubans appartenant à différentes compositions de systèmes d'alliages dit métal-métal et métal-métalloïde. Un processus de traitement thermique est suggéré pour assurer la redistribution des contraintes imposées avant l'intervention de la fragilité thermique. Un brevet industriel basé sur ces résultats a été conjointement déposé avec un grand fabriquant de montres mécaniques. De nouveaux matériaux composites d'alliages légers commerciaux à base de Mg et d'Al renforcés par des dispersions de particules de verres métalliques ont été réalisés sans porosité. Une amélioration très nette des propriétés mécaniques est obtenue. / This thesis features the two modes of deformation of metallic glasses produced under different forms (bulk, ribbons and particles). Inhomogeneous deformation in bulk samples is studied by scanning electron microscopy. Heat generated by elastic energy release during deformation is responsible for the melting observed in shear bands, and calculations using an analytical model of the temperature profile around a band are consistent with morphological observations and reports of appearance of nano-crystals in or next to deformed areas. Shaping by annealing glassy ribbons was carried out. The study presents successful shaping without embrittlement of ribbons of different metal-metal and metal-metalloid compositions of glassy systems. A heat treatment process is suggested for redistribution of applied stresses before the intervention of thermal embrittlement. A joint patent for exploiting the findings has been filed with a major producer of mechanical watches. Development of new strong and light composite materials by dispersing glassy particles in aluminum and magnesium based matrices is presented and significant improvement in mechanical properties is obtained.

For more than five decades, hydraulic fracturing has been widely used to enhance oil and gas production. Hydraulic fracturing in solid materials (e.g., rock) has been studied extensively. The main goal of this thesis is a comprehensive study of the physical mechanisms of hydraulic fracturing in cohesionless sediments. For this purpose, experimental techniques are developed to quantify the initiation and propagation of hydraulic fractures in dry particulate materials. We have conducted a comprehensive experimental series by varying such controlling parameters as the properties of particulate materials and fracturing fluids, boundary conditions, initial stress states, and injection volumes and rates. In this work, we suggest principle fundamental mechanisms of hydraulic fracturing in particulate materials and determine relevant scaling relationships (e.g., the interplay between elastic and plastic processes). The main conclusion of this work is that hydraulic fracturing in particulate materials is not only possible, but even probable if the fluid leak-off is minimized (e.g., high flow rate, high viscosity, low permeability). Another important conclusion of this work is that all parts of the particulate material are likely to be in compression. Also, the scale effect (within the range of the laboratory scales) appears to be relatively insignificant, that is, the observed features of fractures of different sizes are similar. Based on the observed fracture geometries, and injection pressures we suggested three models of hydraulic fracturing in particulate materials. In the cavity expansion or ??e driving model, the fracturing fluid is viewed as a sheet pile (blade) that disjoints the host material, and the cavity expansion occurs at the fracture (blade) front. The shear banding model is also consistent with a compressive stress state everywhere in the particulate material and explains the commonly observed beveled fracture front. The model of induced cohesion is based on the fluid leak-off ahead of the fracture front. The induced cohesion may be caused by the tensile strain near the fracture tip (where the stress state is also compressive), which, in turn, induces the cavitation of the leaked-off fluid and hence capillary forces.

Under loading conditions found in many geotechnical structures, it is common to observe failure in zones of high localized strain called shear bands. Existing models predict these localizations, but provide little insight into the micromechanics within the shear bands. This research captures the variation in microstructure inside and outside of shear bands that were formed in laboratory plane strain and two-dimensional discrete element method (DEM) biaxial compression experiments. Plane strain compression tests were conducted on dry specimens of Ottawa 20-30 sand to calibrate the device, assess global response repeatability, and develop a procedure to quantitatively define the onset of localization. A new methodology was employed to quantify and correct for the additional stresses imparted by the confining membrane in the vicinity of the shear band. Unsheared and sheared specimens of varying dilatancy were solidified using a two-stage resin impregnation procedure. DEM tests were performed using an innovative servo-controlled flexible lateral confinement algorithm to provide additional insights into laboratory results. The solidified specimens were sectioned and the resulting surfaces prepared for microstructure observation using bright field microscopy and morphological analysis. Local void ratio distributions and their statistical properties were determined and compared. Microstructural parameters for subregions in a grid pattern and along predefined inclined zones were also calculated. Virtual surfaces parallel to the shear band were identified and their roughnesses assessed. Similar calculations were performed on the DEM simulations at varying strain levels to characterize the evolution of microstructure with increasing strain. The various observations showed that the mean, standard deviation, and entropy of the local void ratio distributions all increased with increasing strain levels, particularly within regions of high local strains. These results indicate that disorder increases within a shear band and that the soil within the shear band does not adhere to the classical concept of critical state, but reaches a terminal void ratio that is largely a function of initial void ratio. Furthermore, there appears to be a transition zone between the far field and the fully formed shear block, as opposed to an abrupt delineation as traditionally inferred.

Orientador: Prof. Dr. Alejandro Andrés Zúñiga Páez / Coorientador: Prof. Dr. Roberto Gomes de Aguiar Veiga / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Ciência e Engenharia de Materiais, Santo André, 2018. / Vidros metálicos (VM) apresentam propriedades mecânicas únicas devido a sua estrutura desordenada (amorfa). Adicionalmente, compósitos de matriz de vidro metálico com nanocristais (fase dispersa) podem apresentar um mecanismo de deformação plástica diferente em relação à dos vidros metálicos monolíticos. O objetivo deste trabalho foi estudar o comportamento mecânico em compressão de compósitos de matriz de VM de Cu¿Zr¿Al contendo nanocristais de diferentes composições e tamanhos usando simulação de dinâmica molecular. Primeiramente, uma caixa de simulação de VM com 6.750.000 átomos, de composição Cu45Zr45Al10 foi produzida pelo método de têmpera. Posteriormente, esta caixa foi usada como matriz para produzir compósitos com as seguintes populações de nanocristais: a) 75 nanocristais de CuZr de 4 nm de diâmetro, b) 1 nanocristal de CuZr de 17 nm de diâmetro, e c) 1 nanocristal de Cu de 17 nm de diâmetro (fração volumétrica ?xada em 2%). Finalmente, todas as amostras (com e sem nanocristais) foram deformadas em compressão com uma taxa de deformação de 108 s-1. As curvas de tensão-deformação mostraram que todas as amostras atingiram a tensão máxima em ~5% de deformação; porém com valores variando entre 2,15 e 2,8 GPa. Observou-se que a variação da tensão máxima atingida dependeu principalmente de dois fatores: da existência de mecanismos de deformação plástica no interior da partícula e do processo de nucleação de bandas de cisalhamento na interfase matriz/nanocristal. Também foi verifcado que uma maior área de interfase matriz/nanocristal gerou uma maior quantidade de bandas de cisalhamento. Adicionalmente, observou-se que a concentração do poliedro icosaédrico (0,0,12,0,0) centrado no átomo de Cu diminuiu em função da deformação e que a região da banda de cisalhamento possuía uma menor concentração de poliedros icosaédricos em relação às demais regiões do vidro metálico. Já as análises do campo de deslocamento atômico mostraram que as regiões centrais das bandas de cisalhamento estavam formadas por vórtices, e que as margens das bandas estavam caracterizadas por movimentações atômicas lineares. Finalmente, a presença de nanocristais in?uenciou o padrão do ?uxo plástico e a estrutura dos vórtices no material. / Metallic glasses exhibit unique mechanical properties due their disordered structure (amorphous). Moreover, glassy-matrix composites with embedded nanocrystals can modify the dynamics of shear banding (plastic deformation mechanism) in relation to the one observed in monolithic metallic glasses. The objective of this work was to study the mechanical behavior in compression of amorphous Cu¿Zr¿Al composites containing nanocrystals of diferent compositions and sizes using molecular dynamics simulation. First, a metallic glass simulation box with 6,750,000 atoms and composition Cu45Zr45Al10 was produced by the quenching method. Afterwards, this box was used as matrix to produce composites with the following populations of nanocrystals: a) 75 CuZr nanocrystals of 4 nm in diameter, b) 1 CuZr nanocrystal of 17 nm in diameter, and c) 1 Cu nanocrystal of 17 nm in diameter (volume fraction set at 2%). Finally, all samples (with and without nanocrystals) were deformed in compression at a strain rate of 108 s-1. The stress-strain curves showed that all samples reached a maximum stress at ~5% strain; but with values varying between 2.15 to 2.8 GPa. It was observed that the maximum stress reached depended mainly on two factors: the existence of plastic deformation inside the nanoparticles and the nucleation of shear bands at the matrix/nanocrystal interface. It was also verifed that a larger area of matrix-nanocrystal interface generated a larger number of shear bands. In addition, it was observed that the concentration of icosahedral polyhedra (0,0,12,0,0) centered in Cu atoms decreased as a function of strain, and that the shear band had a lower concentration of icosahedral polyhedra in relation to other regions of the metallic glass. The analysis of the atomic feld displacement showed that the central regions of the shear bands were formed by vortices, and the margins of the bands were characterized by linear atomic movements. Finally, the presence of nanocrystals infuenced the plastic fow pattern and the structure of the vortices in the material.

Il est bien établi que les propriétés mécaniques et rhéologiques d'une large classe de matériaux vitreux amorphes met en jeu – contrairement aux dislocations dans les cristaux – des rearrangements structuraux localisés formant par un processus de cascade des bandes de cisaillements. Cette localisation de la déformation est observée dans divers systèmes vitreux ainsi que dans des simulations numériques. Cette réponse mécanique complexe reste mal comprise à une échelle microscopique et il n'est pas clair si l'écoulement plastique peut être associé à une origine structurale locale ou à des processus purement dynamiques.Dans cette thèse nous envisageons ces problématiques à l'aide de simulations atomiques athermales sur un système Lennard-Jones modèle. Nous calculons le tenseur élastique moyenné localement sur une échelle nanométrique. A cette échelle, le verre est assimilable à un matériau composite comprenant un échafaudage rigide et des zones fragiles. L'étude détaillée de la déformation plastique à différents taux de cisaillement met en évidence divers régimes d'écoulement. En dessous d'un taux de cisaillement critique dépendant de la taille du système, la réponse mécanique atteind une limite quasistatique (effets de taille fini, cascades d'événements plastiques, contrainte seuil) alors que pour des taux de cisaillement plus importants les propriétés rhéologiques sont fixées par le taux de cisaillement imposé. Dans ce régime nous mettons en évidence la croissance d'une longueur de coopérativité dynamique et discutons de sa dépendance avec le taux de cisaillements. / It is commonly acknowledged that the mechanical properties and the rheology of a wide class of amorphous glassy materials involves – in contrast to dislocations in crystals – localized structural rearrangements that can form through a cascade mechanism shear bands. The phenomenon of strain localization has been observed experimentally in alloys, metallic and covalent glasses, polymers, complex fluids, granular media, foams, as well as in numerous simulations. This complex mechanical response remains poorly understood at a microscopical level and the origin of the plastic flow in driven glasses cannot be unambiguously attributed to either a local origin or to purely dynamic processes independently of any structural origin. In this thesis we approach these problems by the use of athermal atomistic simulations on a model Lennard-Jones glass. We compute the locally averaged elasticity tensor of the glass at a nanometric level. At this scale, the glass appears as a composite material composed of a rigid scaffolding and of soft zones. Moreover we use this local elastic order parameter to relate structure and dynamics in the sheared glass. The detailed analysis of the plastic deformation at different shear-rates shows that the glass follows different flow regimes. Below a system size dependent critical shear-rate the mechanical response reaches a quasistatic limit (finite size effects, cascades of plastic rearrangements, yield stress) while at higher shear rates the rheological properties are determined by the externally applied shear-rate. In the later regime we report on the growth of a cooperativity length scale and discuss the scaling of this length with shear-rate.

Les milieux granulaires sont très étudiés depuis des décennies mais la description de l'ensemble des comportements observés de ces matériaux reste une grande question ouverte. Lorsqu'ils sont soumis à une contrainte suffisamment importante, une caractéristique est de présenter de la localisation de la déformation. L'objectif du travail présenté dans ce mémoire est d'étudier expérimentalement et numériquement la déformation d'un milieu granulaire et de caractériser des comportements observés lors d'un text biaxial. La première partie est consacrée à la réalisation des tests biaxiaux en déformation plane. Pour pouvoir visualiser de très petites déformations, nous utilisons une méthode interférométrique basée sur la diffusion multiple de la lumière. La deuxième partie est dédiée à la modélisation numérique d'un test biaxial en 2D dans des conditions similaires à celles de l'expérience par la méthode des éléments discrets. Enfin, dans la dernière partie, des outils développés pour l'analyse d'images utilisés pour étudier aussi bien les expériences que les simulations numériques sont abordés. L'étude du champ plastique moyen dans les expériences montre que la localisation de la déformation est un processus progressif initié par une bifurcation qui correspond à l'apparition d'une direction bien définie. Cette direction est en accord avec l'angle de Mohr-Coulomb et son apparition a lieu avant la rupture du matériau. L'étude des fluctuations de la plasticité dans les expériences et les simulations numériques semble mettre en évidence une croissance d'une longueur caractéristique. / Granular materials have been studied for decades, but the description of the behaviors observed of these materials is still an open question. They display localization of deformation when submitted to a large enough stress. The objective of this work is to study experimentally and numerically the deformation of a granular material and to characterize observed behaviors in a biaxial text. The first part is devoted to the realization of plane strain biaxial tests. In order to visualize very small deformations, we use an interferometric method based on the multiple light scattering. The second part is devoted to the numerical modeling of a 2D biaxial test under conditions similar to those of the experiment by the discrete element method. Finally, in the last part, tools developed for the analysis of images used to study as well the experiences as the numerical simulations are approached. The study of the average plastic field in the experiments shows that the localization of the deformation is a progressive process initiated by a bifurcation which corresponds to the appearance of a well defined direction. This direction is in agreement with the angle of Mohr-Coulomb and its appearance takes place before the failure of the material. The study of the fluctuations of the plasticity in the experiments and the numerical simulations seems to show an increase of a characteristic length.

The synthesis of in-situ bulk metallic glass composites (BMGCs) with crystals that undergo a martensitic transformation under loading is possibly the most effective method to improve the plasticity of metallic glasses at room temperature. These martensitic or shape memory BMGCs are typically fabricated via solidification of glass-forming melts, which requires the meticulous selection of the chemical composition and the proper choice of the processing parameters (particularly the cooling rate) in order to ensure that the glassy matrix coexists with the desired amount of austenitic phase having suitable morphology and characteristics. Unfortunately, a relatively limited number of alloy systems, where austenite and glassy matrix coexist over a wide range of compositions, is available. Additionally, the necessity for rapid heat extraction and the corresponding high cooling rates essential for glass formation by melt solidification set an inherent limit to the achievable dimensions of BMGs and BMGCs specimens. The aim of this thesis is to study the effectiveness of powder metallurgy as an alternative to solidification for the synthesis of shape memory BMGCs. Ni50.6Ti49.4 and Zr48Cu36Al8Ag8 metallic glass powders were selected as the constituents of the composites because they have been extensively investigated and represent well the characteristic behavior of metallic glass and shape memory phases. BMGCs with different volume fractions of NiTi phase were fabricated using pressure-assisted sintering via hot pressing and their microstructure, mechanical properties and deformation mechanism were investigated. Particular focus was placed upon identifying the individual contributions of the martensitic transformation and shear band formation to plasticity as well as their mutual interaction at different length scales using a multidisciplinary approach involving experiments and simulations. BMG composites were synthesized by hot pressing of powder mixtures consisting of Zr48Cu36Al8Ag8 metallic glass and different amounts of Ni50.6Ti49.4 particles (10, 20, 40 and 60 vol.%) using the optimized consolidation parameters (temperature-time-pressure) determined for the monolithic BMG. All composites are characterized by a relatively uniform particle distribution and good interface bonding without any sign of reaction between the metallic glass and NiTi. The NiTi particles are progressively less isolated with increasing volume fraction of NiTi up to 40 % and, for the BMGC with 60 vol.% NiTi, the glassy particles are no longer connected and the NiTi phase becomes the continuous matrix. This is not a trivial achievement as the change of matrix while maintaining the structure of the constituent phases would not be easily obtained by solidification of melts with such different compositions. The size of the samples (10 mm diameter and 9 - 11 mm height) is larger than the characteristic BMGCs synthesized by casting and can, in principle, be scaled up to larger dimensions, demonstrating the effectiveness of this approach for overcoming the size limitation inherent to glass formation via solidification. In contrast to the monolithic BMG, which does not show any sign of plasticity, the BMGCs exhibit macroscopic plastic deformation that progressively increases with increasing NiTi content along with distinct strain-hardening. The BMG composites have similar fracture strength, which is comparable with the monolithic BMG, and exhibit a distinct double yield behavior, similar to shape memory BMGCs fabricated by casting. The deformed BMGCs exhibit a high density of shear bands, again in agreement with what observed for similar BMGCs fabricated by casting. These findings not only demonstrate that BMGCs with tunable microstructures and thus with optimized deformability can be synthesized by pressure-assisted sintering but, thanks to the phase stability of the components across such a wide range of compositions, also offer an excellent platform to examine fundamental aspects in the field of martensitic BMGCs. The confining stress exerted by the surrounding glassy matrix was quantified at the macroscale via a hybrid Voigt-Reuss mixture, which considers intermediate weighted combinations of stiff and compliant behaviors. In this way, the macroscopic stress required to initiate the martensitic transformation from B2 to B19´ can be described with rather good accuracy. The confining effect was further investigated by in-situ high-energy X-ray diffraction to have access to the strain tensor of the B2 phase as a function of loading. The results indicate that the confining stress along the direction perpendicular to the loading axis is particularly strong because the expansion of the B2 phase is constrained by the elastic matrix. A mechanism responsible for shear band formation in shape memory BMGCs is proposed. The stress field generated by the martensitic transformation in the contiguous glass would activate the adjacent shear transformation zone (STZ, the elementary units of plasticity in BMGs). The stress field induced by the activated STZ in the surrounding material then triggers the activation of the following STZs along the path of a potential shear band, in an autocatalytic process resembling the domino effect. The shear band formed in this way propagates through the glassy phase and, when impinging a B2 particle, the associated stress field would locally trigger the martensitic transformation, starting again the process. Molecular dynamics (MD) simulations of a martensitic BMGC show that the structural perturbation generated by the martensitic transformation is indeed transmitted to the adjacent glassy matrix and, in turn, to the developing shear band, in agreement with the proposed mechanism. The individual contribution of the glassy phase to the residual strain after each loading-unloading cycle was quantified assuming that the NiTi phase behaves in the same manner across the different specimens. The glass contribution was then correlated to the shear band density to obtain the plastic strain resulting from shear banding for a given amount of NiTi phase, a quantity that could be effectively used in the design of plastically-deformable BMGCs with shape memory particles. The martensitic transformation in the composites becomes progressively more irreversible with increasing strain. A large contribution to the martensite stabilization may come from the residual stress induced by the shear bands, in accordance with the finite element method (FEM) simulations, showing that residual stresses in the composites suppress the reverse transformation after unloading. These finding corroborates the hypothesis that the residual elastic stress field generated by the shear bands may be fundamental for stabilizing the martensitic phase by restraining the atoms at the glass-crystal interface from rearranging back to form austenite. This process can be reversed by proper heat treatment. The findings presented in this thesis offer the opportunity to synthesize shape memory BMG composites with enhanced plasticity and strain-hardening capability along with larger dimensions than those typically achieved by solidification. The powder metallurgy approach provides the necessary versatility in materials design and resulting properties of the composites via the control over the fundamental microstructural features, such as volume fraction, size, morphology and distribution of the second phase. Additionally, materials processing in the solid state gives a virtually infinite choice among the possible composite components, a degree of freedom not usually given when processing via solidification.:Abstract iii Kurzfassung vii Motivation and objectives xi 1 Theoretical background and state-of-the-art 1 1.1 Bulk metallic glasses (BMGs) 1 1.1.1 Formation of metallic glasses 2 1.1.2 Mechanical properties of BMGs 5 1.1.3 Shear bands in metallic glasses 8 1.2 Bulk metallic glass matrix composites 19 1.2.1 Fabrication of BMG composites 20 1.2.2 In-situ BMG composites 27 1.2.3 Ex-situ BMG composites 43 2 Experiments and simulations 57 2.1 Sample preparation 57 2.1.1 Starting materials 57 2.1.2 Powder mixing 59 2.1.3 Powder consolidation 60 2.2 Materials characterization 61 2.2.1 Composition analysis 61 2.2.2 Laboratory X-ray diffraction 61 2.2.3 High-energy X-ray diffraction and strain analysis 62 2.2.4 Viscosity measurements 63 2.2.5 Differential scanning calorimetry 64 2.2.6 Density measurements 64 2.2.7 X-ray computed tomography 65 2.2.8 Optical microscopy and scanning electron microscopy 65 2.2.9 Transmission electron microscopy 66 2.2.10 Elastic constants measurements 66 2.2.11 Mechanical tests 67 2.3 Molecular dynamic simulations 67 2.4 Finite element simulations 68 3 Pressure-assisted sintering of single-phase Zr48Cu36Al8Ag8 metallic glass and Ni50.6Ti49.4 powders 73 3.1 Synthesis and properties of single-phase Zr48Cu36Al8Ag8 bulk metallic glass 73 3.2 Synthesis and properties of single-phase Ni50.6Ti49.4 shape memory alloy 80 4 Pressure-assisted sintering of BMG composites with shape memory crystals: Microstructure and mechanical properties 87 4.1 Microstructure of BMG composites 87 4.2 Effect of NiTi volume fraction on mechanical properties 90 4.3 Effect of confinement of the glassy phase on the martensitic transformation 95 5 Deformation mechanism of shape memory BMG composites 101 5.1 Martensitic transformation and shear band formation 101 5.2 Mechanism of shear band formation in shape memory BMG composites 107 6 Reversibility of the martensitic transformation in shape memory BMG composites 113 6.1 Martensite stabilization in NiTi alloy and BMG composites 113 6.2 Simulation of the martensite stabilization effect in BMG composites 119 6.3 Effect of heat treatment on the martensitic reverse transformation 121 7 Summary and outlook 125 References 131 Acknowledgements 155 Publications 157 Erklärung 159

Fundamental understanding of high strain rate deformation behavior of materials is critical in designing new alloys for wide-ranging applications including military, automobile, spacecraft, and industrial applications. High entropy alloys, consisting of multiple elements in (near) equimolar proportions, represent a new paradigm in structural alloy design providing ample opportunity for achieving excellent performance in high strain rate applications by proper selection of constituent elements and/or thermomechanical processing. This dissertation is focused on fundamental understanding of high strain-rate deformation behavior of several high entropy alloy systems with widely varying microstructures. Ballistic impact testing of face centered cubic Al0.1CoCrFeNi high entropy alloy showed failure by ductile hole growth. The deformed microstructure showed extensive micro-banding and micro-twinning at low velocities while adiabatic shear bands and dynamic recrystallization were seen at higher velocities. The Al0.7CoCrFeNi and AlCoCrFeNi2.1 eutectic high entropy alloys, with BCC and FCC phases in lamellar morphology, showed failure by discing. A network of cracks coupled with small and inhomogeneous plastic deformation led to the brittle mode of failure in these eutectic alloys. Phase-specific mechanical behavior using small-scale techniques revealed higher strength and strain rate sensitivity for the B2 phase compared to the L12 phase. The interphase boundary demonstrated good stability without any cracks at high compressive strain rates. The Al0.3CoCrFeNi high entropy alloy with bimodal microstructure demonstrated an excellent combination of strength and ductility. Ballistic impact testing of Al0.3CoCrFeNi alloy showed failure by ductile hole growth and demonstrated superior performance compared to all the other high entropy alloy systems studied. The failure mechanism was dominated by micro-banding, micro-twining, and adiabatic shear localization. Comparison of all the high entropy alloy systems with currently used state-of-the-art rolled homogenous armor (RHA) steel showed a strong dependence of failure modes on microstructural features.