Nanoindentation has been widely used for measuring mechanical behavior of nanocrystalline (nc) metals that cannot be measured by tensile and compressive test. The hardness and elastic modulus are usually obtained by Oliver and Pharr method. However, this may not be true for materials showing viscoelastic characteristics. This study aims at clarifying the effect of testing parameters, especially loading rate and holding time, on the hardness and elastic modulus of a nanocrystalline Fe-51Ni coating obtained in nanoindentation tests as the material exhibits anelastic and creep characteristics. An analytical method based on the correspondence principle for linear viscoelasticity was developed. The holding displacement-time data obtained in indentation creep tests at a high loading rate of 20 mN/s were analyzed and material parameters related to the elastic, anelastic and creep characteristic were derived using a model containing one Maxwell unit and two Kelvin units. The anelastic deformation thus contains at least two relaxation processes having relaxation times of 0.37 s and 6.8 s, respectively and the creep deformation is described by a viscosity value of 4.2x104 GPa.s for the alloy in an as-deposited state. Moreover, electrodeposited (ED) Ni was analyzed by electron backscatter diffraction. Results indicated that the ED Ni exhibits a bimodal distribution of grain size. The grains having sizes larger than 2 £gm shows a strong fiber texture of <100>//ND, whereas the small grains (<2 £gm) are mainly randomly oriented.

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Internal gravity waves grow in amplitude as they propagate upwards in a non-Boussinesq fluid and weakly nonlinear effects develop due to interactions with an induced horizontal mean flow. In this work, a new derivation for this wave-induced mean flow is presented and nonlinear Schrodinger equations are derived describing the weakly nonlinear evolution of these waves in an anelastic gas and non-Boussinesq liquid. The results of these equations are compared with fully nonlinear numerical simulations. It is found that interactions with the wave-induced mean flow are the dominant mechanism for wave evolution. This causes modulational stability for hydrostatic waves, resulting in propagation above the overturning level predicted by linear theory for a non-Boussinesq liquid. Due to high-order dispersion terms in the Schrodinger equation for an anelastic gas, hydrostatic waves become unstable and break at lower levels. Non-hydrostatic waves are modulationally unstable, overturning at lower levels than predicted by linear theory.

As propriedades mecânicas de metais com estrutura cristalina cúbica de corpo centrado (CCC), tais como nióbio e suas ligas, são alteradas de forma bastante significativa com a adição de elementos intersticiais pesados. Estes elementos intersticiais (oxigênio, nitrogênio e carbono) presentes na matriz metálica ocupam sítios octaedrais e constituem um dipolo elástico de simetria tetragonal, podendo produzir relaxações anelásticas. As amostras utilizadas foram policristais da liga Nb-Ti, contendo 0,3% em peso de Ti. As medidas de espectroscopia anelástica foram efetuadas usando um pêndulo de torção invertido, operando com freqüência da ordem de hertz, em um intervalo de temperatura entre 300 e 700 K, com taxa de aquecimento de 1 K/min. Esta dissertação apresenta estruturas de relaxação termicamente ativadas observadas em amostras da liga Nb - 0,3%pTi, contendo diferentes concentrações de oxigênio em solução sólida. Estas estruturas de relaxação foram atribuídas à reorientação induzida por tensão de átomos intersticiais em tomo de átomos da matriz metálica. Tais estruturas foram analisadas e foram encontrados os seguintes processos de relaxação: Nb-O, Ti-O, Nb-N e Nb-C. Os resultados mostraram também uma relação direta entre as intensidades das estruturas de relaxação e a concentração dos elementos intersticiais presentes nas amostras. / The mechanical properties of metals with body centered cubic (BCC) crystalline structure such as Nb and its alloys are modified of sufficiently significant form with the addition of heavy interstitial elements. These interstitial elements (oxygen, for example) present in the metallic matrix occupy octahedral sites and constitute an elastic dipole of tetragonal symmetry, being able to produce an elastic relaxation. The used samples were polycrystals of the Nb-Ti alloy, having 0.3 % in weight of Ti. The an elastic spectroscopy measurements were taken using an inverted torsion pendulum, operating with frequency of the order of hertz, in a temperature range between 300 and 700 K, with heating rate of 1 K/min. This dissertation shows thermally activated relaxation structures observed in samples of the Nb - 0.3wt.%Ti alloy, having different concentrations of oxygen in solid solution. These relaxation structures were attributed to stress induced ordering of interstitial atoms around the metallic matrix atoms. Such structures were analyzed and were found the following relaxation processes: Nb-O, Ti-O, Nb-N and Nb-C. The results had also shown a direct relation between the intensities of the relaxation structures and the concentration of interstitial elements in the samples.

O estudo da interação de metais com impurezas intersticiais como oxigênio e nitrogênio em solução sólida tem despertado o interesse de pesquisadores de diversas áreas, pois tais impurezas modificam algumas propriedades mecânicas destes metais. A presença destes intersticiais causa um desvio na elasticidade perfeita, chamada anelasticidade. Estudos de espectroscopia anelástica nos fornecem informações a respeito do comportamento destas impurezas na matriz metálica. Nesta dissertação foram analisadas amostras policristalinas da liga Nb-8,9%p.Ta com diferentes concentrações de elementos intersticiais. Foram efetuadas medidas de espectroscopia anelástica utilizando um pêndulo torção invertido, operando com freqüência de 2,0 a 27,0 Hz, num intervalo de temperatura compreendido entre 300 a 700 K. Observamos a presença de estruturas de relaxação que foram atribuídas a processos de relaxação devido à reorientação induzida por tensão de átomos intersticiais em tomo de átomos da matriz metálica. Constatamos, também, a existência de uma relação entre a intensidade da estrutura de relaxação e a concentração de intersticiais. As estruturas de relaxação foram decompostas em seus picos constituintes, que nos permitiu identificar os seguintes processos de relaxação: Ta-O, Nb-O, Nb-O-O e Nb-N. / The study of the metal interaction with interstitial impurities as oxygen and nitrogen in solid solution has aroused the interest of researchers of diverse areas, therefore such impurities modify some mechanical properties of these metaIs. The presence of these interstitials causes a deviation in the perfect elasticity, called anelasticity. Studies of anelastic spectroscopy provide information of the behaviour of these impurities in the metallic matrix. In this dissertation, polycrystalline samples of Nb-8.9%p.Ta alloy have been analysed with different concentrations of interstitials elements. Measurements of anelastic spectroscopy were carried out using an inverted torsion pendulum, operating with frequency of 2.0 to 27.0 Hz and in a temperature range between 300 and 700 K. It was observed the presence of relaxation structures that have been attributed to stress induced ordering due to interstitial atoms around atoms of the metallic matrix. It is also evidenced the existence of a relation between the intensity of the relaxation\'s structures and the interstitials concentration. The relaxation structures have been decomposed in its constituents peaks, what it allowed to identify the following processes of relaxation: Ta-O, Nb-O, Nb-O-O and Nb-N.

As propriedades mecânicas de metais com estrutura cristalina cúbica de corpo centrado (CCC), tais como nióbio e suas ligas, são alteradas de forma bastante significativa com a adição de elementos intersticiais pesados. Estes elementos intersticiais (oxigênio, nitrogênio e carbono) presentes na matriz metálica ocupam sítios octaedrais e constituem um dipolo elástico de simetria tetragonal, podendo produzir relaxações anelásticas. As amostras utilizadas foram policristais da liga Nb-Ti, contendo 0,3% em peso de Ti. As medidas de espectroscopia anelástica foram efetuadas usando um pêndulo de torção invertido, operando com freqüência da ordem de hertz, em um intervalo de temperatura entre 300 e 700 K, com taxa de aquecimento de 1 K/min. Esta dissertação apresenta estruturas de relaxação termicamente ativadas observadas em amostras da liga Nb - 0,3%pTi, contendo diferentes concentrações de oxigênio em solução sólida. Estas estruturas de relaxação foram atribuídas à reorientação induzida por tensão de átomos intersticiais em tomo de átomos da matriz metálica. Tais estruturas foram analisadas e foram encontrados os seguintes processos de relaxação: Nb-O, Ti-O, Nb-N e Nb-C. Os resultados mostraram também uma relação direta entre as intensidades das estruturas de relaxação e a concentração dos elementos intersticiais presentes nas amostras. / The mechanical properties of metals with body centered cubic (BCC) crystalline structure such as Nb and its alloys are modified of sufficiently significant form with the addition of heavy interstitial elements. These interstitial elements (oxygen, for example) present in the metallic matrix occupy octahedral sites and constitute an elastic dipole of tetragonal symmetry, being able to produce an elastic relaxation. The used samples were polycrystals of the Nb-Ti alloy, having 0.3 % in weight of Ti. The an elastic spectroscopy measurements were taken using an inverted torsion pendulum, operating with frequency of the order of hertz, in a temperature range between 300 and 700 K, with heating rate of 1 K/min. This dissertation shows thermally activated relaxation structures observed in samples of the Nb - 0.3wt.%Ti alloy, having different concentrations of oxygen in solid solution. These relaxation structures were attributed to stress induced ordering of interstitial atoms around the metallic matrix atoms. Such structures were analyzed and were found the following relaxation processes: Nb-O, Ti-O, Nb-N and Nb-C. The results had also shown a direct relation between the intensities of the relaxation structures and the concentration of interstitial elements in the samples.

O estudo da interação de metais com impurezas intersticiais como oxigênio e nitrogênio em solução sólida tem despertado o interesse de pesquisadores de diversas áreas, pois tais impurezas modificam algumas propriedades mecânicas destes metais. A presença destes intersticiais causa um desvio na elasticidade perfeita, chamada anelasticidade. Estudos de espectroscopia anelástica nos fornecem informações a respeito do comportamento destas impurezas na matriz metálica. Nesta dissertação foram analisadas amostras policristalinas da liga Nb-8,9%p.Ta com diferentes concentrações de elementos intersticiais. Foram efetuadas medidas de espectroscopia anelástica utilizando um pêndulo torção invertido, operando com freqüência de 2,0 a 27,0 Hz, num intervalo de temperatura compreendido entre 300 a 700 K. Observamos a presença de estruturas de relaxação que foram atribuídas a processos de relaxação devido à reorientação induzida por tensão de átomos intersticiais em tomo de átomos da matriz metálica. Constatamos, também, a existência de uma relação entre a intensidade da estrutura de relaxação e a concentração de intersticiais. As estruturas de relaxação foram decompostas em seus picos constituintes, que nos permitiu identificar os seguintes processos de relaxação: Ta-O, Nb-O, Nb-O-O e Nb-N. / The study of the metal interaction with interstitial impurities as oxygen and nitrogen in solid solution has aroused the interest of researchers of diverse areas, therefore such impurities modify some mechanical properties of these metaIs. The presence of these interstitials causes a deviation in the perfect elasticity, called anelasticity. Studies of anelastic spectroscopy provide information of the behaviour of these impurities in the metallic matrix. In this dissertation, polycrystalline samples of Nb-8.9%p.Ta alloy have been analysed with different concentrations of interstitials elements. Measurements of anelastic spectroscopy were carried out using an inverted torsion pendulum, operating with frequency of 2.0 to 27.0 Hz and in a temperature range between 300 and 700 K. It was observed the presence of relaxation structures that have been attributed to stress induced ordering due to interstitial atoms around atoms of the metallic matrix. It is also evidenced the existence of a relation between the intensity of the relaxation\'s structures and the interstitials concentration. The relaxation structures have been decomposed in its constituents peaks, what it allowed to identify the following processes of relaxation: Ta-O, Nb-O, Nb-O-O and Nb-N.

Protection from the potentially damaging effects of shock loading is a common design requirement for diverse mechanical structures ranging from shock accelerometers to spacecraft. High-damping viscoelastic materials are employed in the design of geometrically complex impact absorbent components. Since shock transients have a broadband frequency spectrum, it is imperative to properly model frequency dependence of material parameters. The Anelastic Displacement Fields (ADF) method is employed to develop new axisymmetric and plane stress finite elements that are capable of modeling frequency dependent material behavior of linear viscoelastic materials. The new finite elements are used to model and analyze behavior of viscoelastic structures subjected to shock loads. The development of such ADF-based finite element models offers an attractive analytical tool to aid in the design of shock absorbent mechanical filters. This work will also show that it is possible to determine material properties’ frequency dependence by iteratively fitting ADF model predictions to experimental results. A series of experiments designed to validate the axisymmetric and plane stress finite element models are performed. These experiments involve the propagation of longitudinal waves through elastic and viscoelastic rods, and behavior of elastomeric mechanical filters subjected to shock. Comparison of model predictions to theory and experiments confirm that ADF-based finite element models are capable of capturing phenomena such as geometric dispersion and viscoelastic attenuation of longitudinal waves in rods as well as modeling the behavior of mechanical filters subjected to shock. / Ph. D.

Developments are reported of unstructured-mesh methods for simulating stratified, turbulent and shear flows. The numerical model employs nonoscillatory forward in-time integrators for anelastic and incompressible flow PDEs, built on Multidimensional Positive Definite Advection Transport Algorithm (MPDATA) and a preconditioned conjugate residual elliptic solver. Finite-volume spatial discretisation adopts an edge-based data structure. Tetrahedral-based and hybrid-based median-dual options for unstructured meshes are developed, enabling flexible spatial resolution. Viscous laminar and detached eddy simulation (DES) flow solvers are developed based on the edge-based NFT MPDATA scheme. The built-in implicit large eddy simulation (ILES) capability of the NFT scheme is also employed and extended to fully unstructured tetrahedral and hybrid meshes. Challenging atmospheric and engineering problems are solved numerically to validate the model and to demonstrate its applications. The numerical problems include simulations of stratified, turbulent and shear flows past obstacles involving complex gravity-wave phenomena in the lee, critical-level laminar-turbulence transitioning and various vortex structures in the wake. Qualitative flow patterns and quantitative data analysis are both presented in the current study.

La convection thermique dans les objets naturels de grande taille est associée à de fortes variations de la pression, hydrostatique au premier ordre. C’est le cas pour l’atmosphère de la Terre (et d’autres planètes), les planètes gazeuses géantes, les étoiles, mais aussi l’intérieur des planètes telluriques. De part l’importance des effets de compressibilité, l’approximation de Boussinesq n’y est pas vérifiée et d’autres modèles, comportant également des approximations, sont utilisés : les modèles anélastiques. Toutefois, peu d’expériences ont été réalisées pour les vérifier. Cette thèse présente une expérience dont les paramètres ont été optimisés afin d’obtenir des effets de compressibilité importants en laboratoire. Pour ce faire, une gravité apparente forte est obtenue à l’aide d’une centrifugeuse et du xénon gazeux est utilisé, nous permettant d’atteindre un nombre de dissipation significatif. Ces expériences ont permis l’observation en laboratoire d’un gradient adiabatique de 3 K/cm et d’un exposant de 0,3 pour la loi de puissance caractérisant le transfert thermique turbulent entre le nombre de Nusselt et le nombre de Rayleigh superadiabatique.L’étude des fluctuations de pression et de température montrant que l’écoulement est quasi-geostrophique dû à la forte rotation imposée par la centrifugeuse, un modèle anélastique quasi-géostrophique est développé afin de réaliser des simulations numériques bidimensionnelles relatives à l’expérience. / In large natural objects, thermal convection is associated with large pressure differences, mainly due to hydrostatic balance. This is true in the atmosphere of the Earth (and other planets), in gas giant planets, in stars, but also in the interior of telluric planets. Boussinesq approximation is not valid owing to large compressibility effects, and other approximate models can be used to model these objects, like the anelastic approximation. However, very few experiments have been performed to assess these models. In the present PhD thesis, an experiment is shown, with parameters designed to maximize compressibility effects in a laboratory. In this perspective, an enhanced apparent gravity is obtained using a centrifuge, and Xenon gas is used, allowing us to reach a significant dissipation parameter. In our experiments, we have observed an adiabatic gradient of 3~K/cm and the power law between the superadiabatic Rayleigh number and the Nusselt number measuring the turbulent heat transfer is characterized by an exponent 0.3.Measurements of temperature and pressure fluctuations show that the flow is quasi-geostrophic as a result of the strong rotation rate of the centrifuge. An anelastic, quasi-geostrophic model has then been developed and solved numerically in the same configuration as the experiments.