Academic literature on the topic 'Anisotroping'
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Journal articles on the topic "Anisotroping"
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Ben Slimane, Mourad. "Anisotropic Two-Microlocal Spaces and Regularity." Journal of Function Spaces 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/505796.
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We defineD-u-anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on anyD-u-anisotropic wavelet basis ofL2(Rd). We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity. We also prove an anisotropic wavelet criterion for anisotropic uniform regularity. We finally prove that both this criterion and anisotropicD-u-two-microlocal spaces are independent of the chosen anisotropicD-u-orthonormal wavelet basis.
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Xiong, Zonghou. "Electromagnetic fields of electric dipoles embedded in a stratified anisotropic earth." GEOPHYSICS 54, no. 12 (1989): 1643–46. http://dx.doi.org/10.1190/1.1442633.
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The anisotropy of electrical conductivity in earth formations may be caused by crystal anisotropies of minerals, as well as by minilayers which occur frequently in sedimentary environments. The effects of anisotropy on the propagation of electromagnetic (EM) fields have been studied by many geophysicists. For instance, Kong (1972) and Wait (1981) solved the EM propagation problem for vertically anisotropic layered earths; O’Brien and Morrison (1967), for a horizontally anisotropic multilayer half‐space; Chetayev (1960), as well as Reddy and Rankin (1971), for media of dipping anisotropies; and Al’tgauzen (1969), for more complicated anisotropic media with a tensor dielectric constant of five components.
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Badreddine, Houssem, and Khemais Saanouni. "On the full coupling of plastic anisotropy and anisotropic ductile damage under finite strains." International Journal of Damage Mechanics 26, no. 7 (2016): 1080–123. http://dx.doi.org/10.1177/1056789516635729.
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In this work, thermodynamically consistent, non-associative and fully anisotropic elastoplastic constitutive equations strongly coupled with ductile anisotropic damage developed in previous work are used to study the responses of the proposed model under various simple and complex loading paths. First, the complete set of the fully coupled non-associative constitutive equations based on the rotated frame formulation (RFF) for finite strains is summarized and shortly discussed. Then, the effect of the rotating frame in the model response is analyzed on the light of typical loading paths. The influence of the induced plastic anisotropies on the evolution of the anisotropic ductile damage is investigated. Finally, the responses of the model for non-proportional loading paths are studied, compared and discussed with respect to the initial and induced anisotropies of the plastic flow and the ductile damage evolution as well as with respect to the rotating frame choice.
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Remazeilles, Mathieu, Andrea Ravenni та Jens Chluba. "Leverage on small-scale primordial non-Gaussianity through cross-correlations between CMB E-mode and μ-distortion anisotropies". Monthly Notices of the Royal Astronomical Society 512, № 1 (2022): 455–70. http://dx.doi.org/10.1093/mnras/stac519.
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ABSTRACT Multifield inflation models and non-Bunch–Davies vacuum initial conditions both predict sizeable non-Gaussian primordial perturbations and anisotropic μ-type spectral distortions of the cosmic microwave background (CMB) blackbody. While CMB anisotropies allow us to probe non-Gaussianity at wavenumbers $k\simeq 0.05\, {\rm Mpc^{-1}}$, μ-distortion anisotropies are related to non-Gaussianity of primordial perturbation modes with much larger wavenumbers, $k\simeq 740\, {\rm Mpc^{-1}}$. Through cross-correlations between CMB and μ-distortion anisotropies, one can therefore shed light on the aforementioned inflation models. We investigate the ability of a future CMB satellite imager like LiteBIRD to measure μT and μE cross-power spectra between anisotropic μ-distortions and CMB temperature and E-mode polarization anisotropies in the presence of foregrounds, and derive LiteBIRD forecasts on ${f_{\rm NL}^\mu (k\simeq 740\, {\rm Mpc^{-1}})}$. We show that μE cross-correlations with CMB polarization provide more constraining power on $f_{\rm NL}^\mu$ than μT cross-correlations in the presence of foregrounds, and the joint combination of μT and μE observables adds further leverage to the detection of small-scale primordial non-Gaussianity. For multifield inflation, we find that LiteBIRD would detect ${f_{\rm NL}^\mu }=4500$ at 5σ significance after foreground removal, and achieve a minimum error of ${\sigma (f_{\rm NL}^\mu =0) \simeq 800}$ at 68 per cent CL by combining CMB temperature and polarization. Due to the huge dynamic range of wavenumbers between CMB and μ-distortion anisotropies, such large $f^\mu _{\rm NL}$ values would still be consistent with current CMB constraints in the case of very mild scale dependence of primordial non-Gaussianity. Anisotropic spectral distortions thus provide a new path, complementary to CMB B-modes, to probe inflation with LiteBIRD.
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Mishra, B., and S. K. Tripathy. "Anisotropic dark energy model with a hybrid scale factor." Modern Physics Letters A 30, no. 36 (2015): 1550175. http://dx.doi.org/10.1142/s0217732315501758.
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Anisotropic dark energy model with dynamic pressure anisotropies along different spatial directions is constructed at the backdrop of a spatially homogeneous diagonal Bianchi type V (BV) spacetime in the framework of General Relativity. A time varying deceleration parameter generating a hybrid scale factor is considered to simulate a cosmic transition from early deceleration to late time acceleration. We found that the pressure anisotropies along the y- and z-axes evolve dynamically and continue along with the cosmic expansion without being subsided even at late times. The anisotropic pressure along the x-axis becomes equal to the mean fluid pressure. At a late phase of cosmic evolution, the model enters into a phantom region. From a statefinder diagnosis, it is found that the model overlaps with [Formula: see text] at late phase of cosmic time.
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CLAUSEL, M., and B. VEDEL. "EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS." Fractals 19, no. 01 (2011): 101–11. http://dx.doi.org/10.1142/s0218348x11005208.
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We propose an explicit way to generate a large class of Operator scaling Gaussian random fields (OSGRF). Such fields are anisotropic generalizations of self-similar fields. More specifically, we are able to construct any Gaussian field belonging to this class with given Hurst index and exponent. Our construction provides — for simulations of texture as well as for detection of anisotropies in an image — a large class of models with controlled anisotropic geometries and structures.
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Castro, Caio Leandro Perdigão, José Jadsom Sampaio de Figueiredo, and Isadora Augusta Soares de Macedo. "COMPARING TWO APPROACHES ON THE ESTIMATIVE ANISOTROPIC PARAMETERSFROM WELL LOGS: AN APPLICATION ON THE NORNE FIELD DATASET." Revista Brasileira de Geofísica 36, no. 4 (2018): 1. http://dx.doi.org/10.22564/rbgf.v36i4.1971.
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ABSTRACT. Estimating the elastic properties of the rocks in the subsurface is a task with many challenges. The main goal of this work is to estimate the Thomsen anisotropic parameters from the inversion of elastic stiffness coefficients using data from five wells of the Norne Field, located at Norway. We compare the results of these parameters with the Backus average, using Li’s empirical method. Further, aspect ratio and crack density are calculated from the results of the elastic stiffness coefficients. It is considered a transversely isotropic medium. The results from the two methods showed similarities in estimating anisotropic parameters, aspect ratio and fracture density. The anisotropy of the study area is weak with some regions with moderate anisotropy. Some patterns suggest the possibility of calculating the anisotropic parameters for the adjacent wells and interpolate values for use in seismic processing.Keywords: Transversally isotropic medium, well logs, Thomsen parameters, Backus AverageRESUMO. Estimar as propriedades elásticas das rochas em subsurperfície é uma tarefa com muitos desafios. O principal objetivo deste trabalho é estimar os parâmetros de anisotropia de Thomsen a partir da inversão dos coeficientes de rigidez elástica, utilizando dados de cinco diferentes poços do campo de Norne, localizado na Noruega. Comparamos os resultados obtidos para esses parâmetros com a média de Backus, usando o método empírico de Li. Em seguida, a razão de aspecto e a densidade de fratura foram calculadas a partir dos resultados dos coeficientes de rigidez elástica. O meio transversalmente isotrópico é considerado neste trabalho. Os resultados obtidos a partir dos dois métodos mostraram similaridades na estimativa dos parâmetros de anisotropia, razão de aspecto e densidade de fratura. A anisotropia da área de estudo é fraca com algumas regiões de anisotropia moderada. Alguns padrões encontrados sugerem a possibilidade de calcular os parâmetros de anisotropia para os poços vizinhos e interpolá-los para uso futuro no processamento sísmico.Palavras-chave: Meios transversalmente isotrópicos, perfis de poços, parâmetros de Thomsen, média de Backus 1UFPA,
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Heiba, Z. K., and Karimat El-Sayed. "Structural and anisotropic thermal expansion correlation of Li2ZrO3at different temperatures." Journal of Applied Crystallography 35, no. 5 (2002): 634–36. http://dx.doi.org/10.1107/s0021889802011214.
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Structural and thermal expansion studies of Li2ZrO3were carried out by recording X-ray powder diffraction patterns at five temperatures, 82, 198, 300, 423 and 573 K. The Rietveld refinement method was used for the analysis. There were large anisotropic changes in the lattice parameters as a function of temperature, slight changes in the fractional coordinates of the different atoms, and anisotropic changes in the interatomic distances between the different cations. The correlation of these anisotropies with the structure is considered.
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Hood, J. A. "A simple method for decomposing fracture‐induced anisotropy." GEOPHYSICS 56, no. 8 (1991): 1275–79. http://dx.doi.org/10.1190/1.1443149.
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A heterogeneous mixture of isotropic elements may appear homogeneous and anisotropic when the scale of its fabric is smaller than the seismic wavelengths that measure it (Backus, 1962). These fabrics can result from thin layering or from oriented microcracks or fractures. In many situations the anisotropy is quite complex, resulting, for example, from fractures in previously anisotropic media. Since these anisotropies combine, the effect of each must be separated to permit the study of either the fractures or the preexisting anisotropy.
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Gudelev, V. G., L. P. Svirina, and Yu P. Zhurik. "Polarization Dynamical Phenomena in Gas Lasers with Weakly Anisotropic Cavities." International Journal of Bifurcation and Chaos 08, no. 05 (1998): 1025–32. http://dx.doi.org/10.1142/s0218127498000838.
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This paper presents the results of theoretical and experimental studies of a series of polarization dynamical phenomena in a single-mode standing-wave class-A laser with weakly anisotropic cavity at elliptically polarized eigenstates. The existence of spontaneous pulsations caused by the competition of active medium and empty cavity anisotropies is also proved.
Dissertations / Theses on the topic "Anisotroping"
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Touil, Hatem. "Modélisation spectrale de la turbulence inhomogène anistrope." Ecully, Ecole centrale de Lyon, 2002. http://www.theses.fr/2002ECDL0020.
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Ce travail de thèse porte sur le développement d'un modèle pour la turbulence anisotrope et inhomogène au moyen d'une approche statistique spectrale. La variable de base de ce nouveau modèle est le spectre du tenseur de Reynolds, quantité qui dépend des variables d'espace et du temps, mais aussi du module du vecteur d'onde. Ce travail s'appuie sur les fondements théoriques posés par A. Laporta (1995) pour le développement autour de l'homogénéité des équations des corrélations en deux points et sur les travaux de S. Parpais (1996) pour la modélisation des termes les plus complexes mis à jour dans ce type de démarche. Dans cette thèse, un modèle exploitable numériquement dans des géométries complexes a été proposé. Il faut noter que ce modèle repose sur des hypothèses quasi-normales amorties pour représenter les flux d'énergie vers les petites échelles et ne nécessite donc pas, comme les modèles de turbulence usuels, l'utilisation d'une équation de transport pour la dissipation de l’énergie cinétique turbulente. Les informations spectrales fournies par le modèle ont été utilisées pour analyser finement la turbulence. Nous avons ainsi pu caractériser dans des écoulements tels que celui autour d'un profil d'aile en incidence certaines situations de déséquilibre de la turbulence. Ce déséquilibre s'exprime en particulier au niveau des spectres de l’énergie cinétique turbulente par un écart à la théorie de Kolmogorov (1941) et à une distribution d'énergie selon les nombres d'onde k proportionnelle à k-5/ 3 (dans la zone inertielle). L'analyse spectrale permet aussi de proposer des quantités en un point pertinentes pour mettre en évidence ces états de déséquilibre, ouvrant ainsi de nouvelles voies de modélisation<br>Spectral modelling for anisotropic and inhomogeneous turbulence This work concerns the development of a model for anisotropic and inhomogeneous turbulence by means of a spectral statistical approach. The basic unknown of this new model is the spectrum of the Reynolds stress tensor, a quantity which depends on space and time variables as well as on the wave vector module. The theoretical base of this work was provided by A. Laporta (1 995), who expanded about homogeneity the equations for the two point velocity correlations, and on the work of S. Parpais (1996) for the modelling part of the complex terms involved in this kind of approach. In this thesis, a numerical model was proposed that can be used in complex geometries. It should be noted that this model is based on quasi-normal assumptions intended to represent the energy cascade towards the small scales and therefore does not require, like usual turbulence models, the use of a transport equation for the dissipation of the turbulent kinetic energy. The spectral information provided by this new model was used to scrutinize some properties of turbulence. The model allows to characterize situations of turbulence desequilibrium in flows such as that around an airfoil with incidence. The spectral desequilibrium is characterized by comparisons with the Kolmogorov (1941) theory leading to a distribution of energy proportional to k-5/ 3, for wave numbers k in the inertial range. The spectral analysis enables to propose relevant one-point quantities to highlight these non-equilibrium states, thus opening new modelling frontiers
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Vallefuoco, Donato. "Numerical study of unconfined and confined anisotropic turbulence." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEC053/document.
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Pour les écoulements turbulents d’intérêt pratique, la turbulence interagit avec le confinement et les forces externes, ce qui cause inhomogénéité et anisotropie statistiques. Isoler leur contribution à des statistiques ciblées est indispensable pour comprendre les différents phénomènes physiques. Le but de cette thèse a donc été d’acquérir une meilleure connaissance de l’anisotropie en fonction de la direction et de l’échelle dans un ensemble de contextes idéalisés et réalistes. On a utilisé une caractérisation statistique dans l’espace spectral ainsi que dans l’espace de séparation. La caractérisation dans l’espace spectral concerne les statistiques anisotropes de turbulence sous forme de spectres directionnels d’énergie, polarisation et hélicité. La caractérisation dans l’espace de séparation s’appuie sur les moments des incréments de vitesse à deux points du deuxième et troisième ordre, et sur les corrélations de vitesse à deux points. Tout d’abord, on a étudié l’effet du forçage spectral de grandes échelles. Les schémas de forçage considérés sont le schéma de forçage de type Euler, non hélicitaire et hélicitaire, et le schéma ABC. On a montré que les deux forçages ont un inconvénient, dans le sens que, si le nombre de modes suffisamment excités est petit, de l’anisotropie se produit même aux petites échelles. Dans le cas du forçage Euler, cela dépend de la gamme de nombres d’onde forcés ainsi que de leur hélicité. Le forçage ABC, pour lequel le niveau d’hélicité injectée ne peut pas être contrôlé, n’excite que six modes et donc il produit toujours de l’anisotropie et à toutes les échelles résolues. Ensuite, on a analysé l’anisotropie en fonction de l’échelle et de la direction pour la turbulence homogène en rotation. Chose étonnante, l’anisotropie se produit à toutes les échelles même si la rotation est faible. En particulier, on a identifié deux gammes d’échelles anisotropes qualitativement différentes. Aux grandes échelles, l’anisotropie directionnelle est plus grande et décroît avec le nombre d’onde. Aux petites échelles, elle est beaucoup plus faible—mais encore significative—et croit lentement avec le nombre d’onde jusqu’aux échelles dissipatives. Une autre conclusion intéressante et originale de cette partie du travail concerne le rôle de l’échelle de Zeman et son lien avec l’anisotropie aux différentes échelles de l’écoulement. D’après des travaux précédents, l’échelle de Zeman devrait être l’échelle de longueur caractéristique qui sépare les échelles affectées par la rotation par les échelles isotropes. Après une plus ample investigation, en utilisant simulations à différents paramètres, on a découvert que l’échelle de séparation entre grande et faible anisotropie est plutôt l’échelle de longueur caractéristique pour laquelle les effets de rotation et de dissipation s’équilibrent. Ce résultat, toutefois, n’est pas en contradiction avec l’argument de Zeman sur le rétablissement de l’isotropie dans la limite asymptotique de viscosité nulle, comme l’échelle de séparation s’annule à nombre de Reynolds infini, et donc seulement la gamme d’anisotropie décroissante devrait persister et les échelles beaucoup plus petite que celle de Zeman pourraient récupérer l’isotropie. Enfin, on a considéré l’écoulement de von Kármán entre deux disques équipés de pales en contre-rotation dans une cavité cylindrique. On a répété l’analyse dans l’espace de séparation dans plusieurs petites sous-régions, afin d’enquêter les analogies possibles entre la dynamique de l’écoulement et celle de la turbulence homogène en rotation. On a découvert que, dans les régions du domaine où l’écoulement a un taux de rotation moyen plus grand, les distributions des statistiques dans l’espace de séparation montrent certaines des caractéristiques typiques de la turbulence en rotation<br>In turbulent flows of practical interest, turbulence interacts with confinement and external forces, leading to statistical inhomogeneity and anisotropy. Isolating their contributions to some targeted statistics is indispensable for understanding the underlying physical phenomena. The aim of this thesis has therefore been to gain further insight into direction- and scale-dependent anisotropy in a set of idealized and realistic contexts. Both spectral space and separation space statistical characterizations have been employed. The spectral characterization concerns the anisotropic statistics of turbulence under the form of directional energy, polarization and helicity spectra. The separation space characterization is built on two-point second- and third-order velocity increment moments, and two-point velocity correlations. First, we studied the effect of large-scale spectral forcing. The considered forcing methods are the non-helical and the helical Euler scheme, and the ABC-scheme. We showed that both forcings have a drawback in that, if the number of sufficiently excited modes is too low, anisotropy is bound to arise even at small scales. In the case of Euler forcing, this depends on both the range of forcing wavenumbers and its helicity contents. The ABC forcing, for which the amount of injected helicity cannot be controlled, excites only six modes and therefore always generates anisotropy at all resolved scales. Our second step was to analyze the scale- and direction-dependent anisotropy of homogeneous rotating turbulence. Surprisingly, anisotropy arises at all scales even at low rotation rate. In particular, we identified two anisotropic ranges with different features. In the large scales, directional anisotropy is larger and decreases with wavenumber. At smaller scales, it is much weaker—although still significant—and slowly increases with wavenumber all the way to the dissipative scales. Another interesting and original conclusion of this part of the work concerns the role of the Zeman scale and its link with the flow scale-dependent anisotropy. The Zeman scale was previously argued to be the characteristic lengthscale separating rotation-affected scales 2 from isotropic ones. Upon closer investigation using several simulations at different parameters, we found that the separating scale between large and weak anisotropy is rather the characteristic lengthscale at which rotation and dissipation effects balance. This result, however, does not contradict Zeman’s argument about isotropy recovery in the asymptotic limit of vanishing viscosity, since the separating scale vanishes at infinite Reynolds number, and therefore only the decreasing anisotropy range should persist and scales much smaller than the Zeman one may recover isotropy. Finally, we considered the von Kármán flow between two counter-rotating bladed disks in a cylindrical cavity. We repeated the separation space analysis in different small sub-regions, in order to question the possible analogies in the flow dynamics with that of homogeneous rotating turbulence. We found that, in the regions of the domain where the mean flow has a larger average rotation rate, the distributions of the statistics in separation space display some of the features typical of rotating turbulence
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Xia, Chao [Verfasser], and Guofang [Akademischer Betreuer] Wang. "On a class of anisotropic problems = Über eine Klasse von anisotropen Problemen." Freiburg : Universität, 2012. http://d-nb.info/1123470936/34.
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Ferraro, Filippo Jacopo. "Magnetic anisotropies and exchange bias in ultrathin cobalt layers for the tunnel anisotropic magnetoresistance." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAY086/document.
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Dans le cadre de l’étude des phénomènes magnétiques et de la spintronique qui sont présents aux échelles nanoscopiques nous avons étudié différents aspects des structures asymétriques de Pt/Co/AlOx. L’un des objectifs de cette thèse est le contrôle de l’oxydation et des propriétés magnétiques de ces multicouches. Nous avons combiné les mesures de structures (réflexion de Rayon-X), transports (Effet Hall anormal), et magnétiques (VSM-SQUID) afin de déterminer les rôles des effets magnétiques et d’interfaces. Un objectif était d’analyser le rôle de quelques monocouches (MCs) de CoO (qui peut se former lors de la sur oxydation de l’Al) sur les propriétés de la multicouche. Nous avons utilisé une technique de déposition avec un gradient d’épaisseur pour contrôler l’oxydation à l’échelle nanométrique. Nous avons établis que quelques monocouches (MCs) de CoO a un impact sur l’anisotropie de a multicouche. Pour approfondir l’effet de la couche de CoO, nous avons construit des bicouches ultrafines de Co(0.6nm)/CoO(0.6nm). Nous avons effectué des mesures refroidi sur champ sur ce système et trouvé un fort effet de couplage d'échange. Ces résultats indiquent que la couche CoO garde une forte anisotropie même en dans la limite des monocouches et permet de réfuter certains modèles sur l’effet d’échange bias et indique que les couches, couramment négligé, de CoO doivent être prises en considération dans le bilan énergétiques du système. Nous avons construits un appareil de mesure perpendiculaire de la magnétorésistance tunnel anisotrope (TAMR) à partir de la structure Pt/Co/AlOx. La TAMR est un effet de spintronique relativement récent dans lequel la rotation d’aimantation dans une électrode magnétique (combiné avec un couplage spin-orbite) peut entrainer un changement de la probabilité de l’effet tunnel, ce qui se manifeste comme un effet de magnétorésistance. Nous avons démontré qu’un contrôle précis de l’état d’oxydation est essentiel pour l’effet TAMR. La forte anisotropie magnétique induite nous permet d’atteindre des valeurs de TAMR plus grande comparée à celle des structures Pt/Co/AlOx<br>In the context of studying magnetic and spintronics phenomena occurring at the nanoscale, we investigated several aspects of Pt/Co/AlOx asymmetric structures. One of the objectives of this thesis was the control of the oxidation and the tailoring of the magnetic properties of these multilayers. We combined structural (X-Ray Reflectivity), transport (Anomalous Hall Effect) and magnetic measurements (VSM-SQUID), to study the interplay of magnetic and interfacial effects. One objective was to analyze the role that few monolayers (MLs) of CoO (which can form when overoxidizing the Al layer), could have on the properties of the stack. We used a wedge deposition techniques to control the oxidation on a subnanometer scale. We established that few MLs of CoO largely affect the total anisotropy of the stack. To further investigate the impact of the CoO, we engineered ultrathin Co(0.6nm)/CoO(0.6nm) bilayers. We performed field cooled measurements on this system and we found a large exchange bias anisotropy. These results indicate that the CoO keeps a large anisotropy even in the ML regime, help to rule out some of the models proposed to explain the exchange bias effect and imply that the usually neglected CoO presence must be considered in the energy balance of the system. We build perpendicular Tunneling Anisotropic MagnetoResistance (TAMR) devices based on the Pt/Co/AlOx structure. The TAMR is a relatively new spintronics effect in which the rotation of the magnetization in a single magnetic electrode (combined with the Spin-Orbit Coupling) can cause a change of the tunnel probability, which manifests as a magnetoresistance effect. We demonstrated that a careful control of the interface oxidation is crucial for the TAMR effect. The large induced magnetic anisotropy allowed us to achieve enhanced TAMR values compared to similar Pt/Co/AlOx structures
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Hucht, Alfred. "Temperaturabhängigkeit magnetischer Anisotropien in ultradünnen Filmen - Temperature dependence of magnetic anisotropies in ultra-thin films." Gerhard-Mercator-Universitaet Duisburg, 2001. http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-09132001-105033/.
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Anisotropies essentially affect magnetism in thin ferromagnetic films of few atomic layers. On the one hand they can stabilize long range order in these systems, on the other hand they strongly influence the orientation of magnetization. The intrinsic causes of anisotropies in these systems are the spin-orbit coupling of the electrons and the long-range magnetic dipole interaction. While the dipole interaction always favors an orientation of magnetization in the plane of the film, spin-orbit coupling can favor different orientations of magnetization on the surface and in the inner layers of the film. This can lead to a competition between anisotropies, which in turn leads to a spin reorientation transition with varying film thickness. This transition can be of varying order, i. e. be continuous or discontinuous. Experiments also find a spin reorientation transition with varying temperature, which until now was not well understood. In the framework of a classical Heisenberg model this transition is investigate d by means of different theoretical methods in the course of this thesis. At zero temperature the system can be dealt with analytically and criteria for the spin reorientation transition and its order are found. Furthermore it is investigated whether the long-range dipole interaction results in a domain ground state. These investigations are extended to finite temperatures by means of a molecular field theory and results are compared to Monte Carlo simulations. It is shown that in contrast to other works the temperature driven spin reorientation transition in the monolayer is discontinuous also in the simulations, whereas in general it is continuous for the bilayer. Consequently the molecular field theory and the Monte Carlo simulations agree qualitatively. Exemplary for thicker films the influence of an external magnetic field is investigated in the bilayer, furthermore the effective anisotropies Kn(T) of the phenomenological Landau theory are calculated numerically for the microscopic model. Analytic expres sions for the dependence of the anisotropies Kn(T) on the parameters of the model are obtained by the means of perturbation theory, which lead to a deeper understanding of the spin reorientation transition. Accordingly to this the origin for the spin reorientation transition lies in the differing temperature dependence of the dipolar and spin-orbit parts of the Kn(T). Additionally the magnetization in the surface of the film decreases more rapidly with increasing temperature. As a consequence the influence of the surface anisotropy decreases with increasing temperature. This effects a similar result as increasing the film thickness and leads to the transition. Finally the model is extended to continuous film thicknesses, since in experiment the spin reorientation transition depends crucially on film thickness. The results of this extended model are compared to experiment and give good agreement.
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Carlioz, Thomas. "Nucléation et propagation de fissures en conditions anisotropes." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1247/document.
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En partant d'une problématique industrielle correspondant à la naissance de fissures lors de l'excavation d'un tunnel dans un matériau argileux, nous proposons de nous intéresser à un sujet plus large qui est celui de la nucléation d'une fissure de dimension macroscopique. Ainsi, des résultats généraux et théoriques sont établis tout au long de ce mémoire. Ces derniers sont toutefois utilisés pour proposer une interprétation aux faciès de fissuration observés lors de l'excavation de galeries de stockage à grandeur profondeur. Dans un premier temps, un modèle géométrique idéalisé pour des fissures est justifié. Cette étude préalable permet à la fois d'acter la nature fermée des fissures susceptibles de nucléer ainsi que d'utiliser le critère mixte en statuant sur le bienfondé d'une étude bidimensionnelle équivalente. En précisant la notion de longueur de nucléation stable et en s'inspirant des outils classiques de la mécanique linéaire de la rupture, nous établissons dans un second temps notre propre critère de nucléation. Pour ce faire, nous proposons, grâce à des modélisations micromécaniques, de revisiter l'approche thermodynamique usuelle dans un cadre adiabatique afin d'être davantage en accord avec la brutalité du phénomène étudié. Par la suite, nous mettons aux points différentes méthodes permettant d'utiliser le critère suggéré. Enfin, le critère est mis en œuvre dans le cadre de la problématique industrielle initiale pour essayer de donner une justification à l'anisotropie des géométries des fissures observées, et ce, en prenant en compte les différentes directions de forage de l'ouvrage. Dans un deuxième temps, nous proposons de nous intéresser, de manière plus prospective, aux problématiques liées aux modèles locaux d'endommagement. Une attention particulière est accordée à la notion de stabilité des états d'équilibre. Ainsi, une adaptation du critère de Hill est proposée et des différences quantitatives sont soulignées lorsqu'un cadre adiabatique, nous paraissant plus justifié, est pris en compte. Enfin, le problème de la localisation de l'endommagement dans un problème unidimensionnel est abordé<br>Starting from an industrial issue that is cracks onset when excavating a tunnel, this work aims at giving new insights into a more general problematic which is the initiation of macroscopic cracks. Thus, general and theoretical results are established. Nevertheless, they are applied in order to give some explanations to the excavation-induced fractures observed around the deep geological repository. To begin with, an idealised geometrical model is detailed and justified. Thanks to this preliminary work, we establish that the cracks that should be taken into account are closed ones. In addition we show that it's possible for small cracks length to work on an equivalent bidimensionnal problem. This last result allows us to apply the mixed criteria. After giving the definition of a stable crack initiation length we define our own criteria to predict cracks onset. In order to do so and in order to be more in adequacy with the caracter brutal of a crack initiation, we offer through a micromecanic modelisation to deploy the usual thermodynamic approach in an adiabatic context. Different methods to compute the key quantity which is the incremental energy released rate are then built. Finally, the criteria is applied to give some justifications to the anisotropic geometry of the excavation-induced fractures. In a second part of this work, we focuse on the problematics tied to the local damage models. For instance, the notion of stability for an equilibrium state is discussed. Hill's stability critera is adapted to damage problems. Once again, it seems that an adiabatic context is more suited and the differences implied are emphasized. To conclude, we offer to investigate the localisation issue in one dimensionnal problems
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Briones, Edgar. "Anisotropie de magnéto-résistance de diodes tunnel ferromagnétiques zener-esaki p-GaMnAs/n-GaAs : spectroscopie des anisotropies de bandes de GaMnAs." Paris 11, 2010. http://www.theses.fr/2010PA112074.
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GaMnAs est un semi-conducteur ferromagnétique dilué où l’interaction d’échange est induite par des porteurs délocalisés. Ces derniers sont souvent décrits par des états de Bloch dans la bande de valence, malgré une controverse sur l’influence d’une mini-bande d’impuretés Mn. Une connaissance plus précise de la structure de bandes reste nécessaire pour déterminer à la fois la position du niveau de Fermi et la nature exacte des anisotropies magnétiques, encore mal connues. Nous avons étudié l’anisotropie de magnétorésistance en régime tunnel (TAMR) de diodes Zener-Esaki p++-GaMnAs/n+-GaAs, reliée aux anisotropies de la structure de bandes de GaMnAs. Le transport tunnel inter-bandes permet de réaliser la spectroscopie électrique de la TAMR, résolue en énergie ou en impulsion. La comparaison de la dépendance en énergie des anisotropies cubique et uniaxiales montrent que le niveau de Fermi se trouve loin du haut de la bande de valence, et non piégé dans la minibande, et que les bandes de trous ont des contributions opposées à la TAMR, en accord qualitatif avec des calculs k. P. De plus, la dépendance en énergie de l’anisotropie uniaxiale planaire précise son lien avec la mini-bande d’impuretés Mn. La spectroscopie résolue en impulsion révèle aussi les effets de structure de bandes et de filtrage des états de Bloch, mais ne permet pas de déterminer les courbes de dispersion (transport multi-bandes et à 3D). Des résultats préliminaires offrent des perspectives d’études sur la spectroscopie de TAMR réalisée par effet tunnel résonant via un niveau d’énergie d’un puits quantique, mais aussi sur l’utilisation de la TAMR comme sonde du nanomagnétisme de plots individuels de GaMnAs<br>Ferromagnetism in highly-doped diluted magnetic semiconductor GaMnAs is mediated by delocalized carriers. Those are often described as Bloch states in the valence band of GaMnAs in presence of an exchange interaction. Nevertheless, the exact role of the Mn-impurity band overlapping the valence band is still under debate. A better knowledge of the exact band structure is still necessary to determine the actual Fermi level position, as well as to fully understand the true nature of bands anisotropies (valence bands, imurity band). We investigate the tunneling anisotropic magnetoresistance (TAMR) in ferromagnetic tunnel diodes p++-GaMnAs/n+-GaAs. Inter-band tunneling allows us to carry out the electrical spectroscopy of the TAMR, both in energy or impulse space. The comparison in the energy dependence of the cubic and uni-axial anisotropies suggests that the Fermi level is not pinned in the impurity band but lies deep into the valence band. The results further reveal the opposite contributions of different valence bands to TAMR, in qualitative agreement with k. P calculations, as well as an additional contribution to the in-plane uniaxial anisotropy due to the impurity band. Besides, spectroscopy in momentum space shows an enhancement of TAMR due to Bloch’s states impulse filtering. Nevertheless, multi-bands tunnel spectroscopy of delocalized states in 3D space does not allow to determine the curves of dispersion. Preliminary results on the electrical spectroscopy of TAMR using resonant tunnelling through energy levels of a quantum well are also shown, as well as others on the use of TAMR to study nanomagnetism of an individual GaMnAs nanodot
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Gebbie, Tim. "Temperature anisotropies: covariant CMB anisotropies and nonlinear corrections." Doctoral thesis, Faculty of Science, 1999. http://hdl.handle.net/11427/30218.
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The questions I ask myself are generally all along the lines of "so where did all this structure come from?". I hoped that work in the CMB and its cosmological implications would give me insight into this. It is an adventure that is still young. I began my PhD with an investigation of some formal aspects of Ehlers-Ellis Relativistic Kinetic Theory in mind { the implications of the truncation conditions found in the exact theory. I ended up trying to calculate CMB anisotropies as an application of this beautiful and somewhat purist formalism. The Ehler-Ellis (1+3) Lagrangian approach to General Relativity (GR) and Relativistic Kinetic Theory (RKT) are apparently not well known nor well used and have only recently begun to show advantages over the more usual ADM and Bardeen perturbative approaches to astrophysical cosmology when combined with the Ellis Bruni perturbation theory.
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Penkrot, Brian. "Anisotropic streaming." Diss., University of Iowa, 2014. https://ir.uiowa.edu/etd/4715.
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My work Anisotropic Streaming is written for the University of Iowa Symphonic Orchestra. It is approximately 16 minutes in length.
The inspiration of the piece was the cosmic background radiation remaining from the Big Bang. In 1964, it was discovered that space was filled with a faint amount of radiation; a relic from the time when slight temperature variance allowed for the coalescence of particles. These particle collections soon had varying masses and therefore varying gravitational pulls, which in turn created the stars and galaxies. Since the universe expanded while the temperature variances allowed for this particle accumulation, the background radiation is patterned in a manner that is anisotropic: a nearly uniform arrangement of the radiation that appears different depending on the observer's orientation. As a formal tool, this phenomenon has suggested a compositional process focused on transition and contextualization.
The concept of anisotropy manifests itself in my composition in a number of ways. The first of three sections "collects" individual pitches until those frequencies are no longer perceptible - the listener's mind fuses the pitches into a single yet complex sonority. This fusion is encouraged further by the arrangement of pitches mimicking the overtone series. The second section features a very active and thick texture combining to make a single mass of sound. The texture gradually removes layers to reveal the individual short melodies that make up the mass. The third section rearranges these short melodies, making the high melodies low and the low melodies high. Each melody grows one note longer on each iteration, until each are so long they begin to fuse into a single, complex sonority. In these ways, I attempt to create the same kind of sound but through a shifting perspective, exposing sound's anisotropic construction.
Formally, the piece divides into three sections, each a composite sound at different levels of synchronicity and perspective. The sections are further subdivided into two parts, the first being transitional and the second being a more static exhibition of the section's conceptual purpose.
The pitch material in expositional areas is based on the mathematical overtone series (rounded to the nearest semitone). Pitch material in transitional phrases collects into aggregates, generally derived from a frequency modulation, amplitude modulation, or distortion by common fate. These pitches are not necessarily relegated to their registral frequencies, allowing for some octave equivalence.
The first section, an exposition of separate elements creating a whole sonority, begins with the accumulation of material in the middle, high, then low register. As events become more synchronized, these three disparate elements become parts of an Eb1 sonority through additive synthesis. After a brief transitional section of aggregate sonorities in a symmetrical rhythm, the fundamental switches to G1 as a pizzicato cloud texture replaces the higher overtones. The additive G1 sonority occurs repeatedly, getting more frequent towards the end of the section. Using common overtones, overtones of the G1 sonority are sustained and the harmony is displaced by Eb1.
The second section is a discovery of separate elements that exist within a sound complex, and subsequently, the germinal existences of those elements. The effect of parsing the lower pitches into imagined component pitches is the destabilization of a steady fundamental. The implied fundamentals instead fade in and out of perceivable space, creating a sonic environment of quasi-periodic harmonicity. The section begins by changing the Eb1 to a virtual Bb0 fundamental through a series of common overtones. The sustained Bb0 overtones are rhythmicized, becoming melodic fragments of varying lengths. After the surface texture of the Bb0 climaxes, the orchestration is reduced three times to solos and duets, revealing the melodies that exist in each registral area (high, middle, low). A brief transitional section of aggregate sonorities in a rhythm similar to the transitional area in section one, the implied fundamental becomes a D-1. The melodic fragments are extended through sparer orchestration, with soloists and small chamber combinations developing the ideas. The section ends with an implied C1 fundamental.
The final section is the destabilization of the quasi-periodic harmonicity of the second section. The section begins in the highest register on string harmonics that do not imply any particular fundamental. The overtones are textured, and interjections of shepherd tones and noise elements add to an active surface with an unmoored harmonic space. When the surface reaches a maximally undefined pitch space, the gesture of the completed added sonority from the first section returns, implying fundamentals of five different sonorities, moving progressively away from harmonicity. A superimposition of the solo and chamber melodies against segments of previous aggregate transitions leads the harmonic space to a C2 fundamental, played in the gesture of the completed added sonority from the first section. By holding shared common tones, the harmonic space changes to an E1 fundamental, and pitches get higher and quieter until the piece ends.
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Azevedo, Carlos Alberto Cabral de. "Formulação alternativa para análise de domínios não-homogêneos e inclusões anisotrópicas via MEC." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-18102007-110753/.
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Este trabalho trata da análise de problemas planos de chapa compostos por materiais anisotrópicos, definidas em uma região ou no domínio por completo, utilizando-se o método dos elementos de contorno. As soluções fundamentais para problemas anisotrópicos, embora existentes, mostram-se difíceis de serem utilizadas devido à complexidade de sua formulação matemática ou da necessidade de se encontrar partes da solução numericamente. Nesse sentido, a formulação alternativa mostrada nesse trabalho permite o estudo de meios anisotrópicos utilizando-se as soluções fundamentais para meios isotrópicos nas representações integrais de problemas planos com campo de tensões iniciais. A região do domínio com propriedades anisotrópicas ou diferentes das propriedades elásticas de um meio isotrópico usado como referência é discretizada em células triangulares, enquanto que o contorno do problema é discretizado em elementos lineares. As componentes do tensor de tensões iniciais da região anisotrópica são definidas como uma correção das tensões elásticas do material isotrópico de referência através de uma matriz de penalização. Essa matriz, por sua vez, é obtida através de relações envolvendo as constantes elásticas de rigidez do meio desejado e os coeficientes elásticos de flexibilidade do meio isotrópico de referência. Essa técnica é particularmente adequada para a análise de inclusões anisotrópicas onde há a necessidade de discretizar apenas uma parte pequena do domínio, aumentando, portanto, pouco o número de graus de liberdade do sistema. Os resultados obtidos com a formulação proposta são comparados com os resultados numéricos existentes na literatura.<br>This work deals with elastic 2D problems characterized by the presence of zones with different materials and anisotropic inclusions using the boundary element method. The anisotropy can be assumed either over the whole domain or defined only over some particular inclusions, which is the most usual case. Fundamental solutions for anisotropic domains, although well-known, lead to more complex formulations and may introduce difficulties when the analysis requires more complex material models as for instance plastic behavior, finite deformations, etc. The alternative formulation proposed in this work can be applied to anisotropic bodies using the classical fundamental solutions for 2D elastic isotropic domains plus correction given by an initial stress field. The domain region with anisotropic properties or only with different isotropic elastic parameters has to be discretized into cells to allow the required corrections, while the complementary part of the body requires only boundary discretization. The initial stress tensor to be applied to the anisiotropic region is defined as the isotropic material elastic stress tensor correction by introducing a local penalty matrix. This matrix is obtained by the difference between the elastic parameters between the reference values and the anisotropic material. This technique is particularly appropriate for anisotropic inclusion analysis, in which the domain discretization is required only over a small region, therefore increasing very little the number of degrees of freedom of the final algebraic system. The numerical results obtained by using the proposed formulation have demonstrated to be very accurate in comparison with either analytical solutions or the other numerical values.
Books on the topic "Anisotroping"
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Li, Quan, ed. Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3.
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Vannucci, Paolo. Anisotropic Elasticity. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-5439-6.
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Freger, G. E., V. N. Kestelman, and D. G. Freger. Spirally Anisotropic Composites. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-09975-9.
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Hwu, Chyanbin. Anisotropic Elastic Plates. Springer US, 2010. http://dx.doi.org/10.1007/978-1-4419-5915-7.
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Givargizov, E. I. Highly Anisotropic Crystals. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3709-3.
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Glaser, Rainer, and Piotr Kaszynski, eds. Anisotropic Organic Materials. American Chemical Society, 2001. http://dx.doi.org/10.1021/bk-2001-0798.
Full textBook chapters on the topic "Anisotroping"
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Vannucci, Paolo. "Basic Concepts on Anisotropy." In Anisotropic Elasticity. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5439-6_1.
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Mikolajick, Thomas, and Walter M. Weber. "Silicon Nanowires: Fabrication and Applications." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_1.
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Ke, Changhong, and Xiaoming Chen. "Interfacial Interactions in 1D and 2D Nanostructure-Based Material Systems." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_10.
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Zhang, Pengfei, and Sheng Dai. "Mesoporous Carbon for Energy." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_11.
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Sreekanth, Kandammathe Valiyaveedu, Antonio De Luca, and Giuseppe Strangi. "Hyperbolic Metamaterials: Design, Fabrication, and Applications of Ultra-Anisotropic Nanomaterials." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_12.
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Kimura, Munehiro. "Printed Anisotropic Molecular Alignments." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_13.
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Zhang, Shuang-Yuan, Kwok Wei Shah, and Ming-Yong Han. "Methods and Structures for Self-assembly of Anisotropic 1D Nanocrystals." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_2.
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Xue, Chenming, and Quan Li. "Anisotropic Gold Nanoparticles: Preparation, Properties, and Applications." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_3.
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Tongying, Pornthip, Maksym Zhukovskyi, and Masaru Kuno. "Synthesis and Application of Solution-Based II–VI and IV–VI Semiconductor Nanowires." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_4.
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Yan, Chun-Hua, Ling-Dong Sun, Chao Zhang, et al. "Rare Earth Based Anisotropic Nanomaterials: Synthesis, Assembly, and Applications." In Anisotropic Nanomaterials. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18293-3_5.
Full textConference papers on the topic "Anisotroping"
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lavsky, J., G. G. Long, A. J. Allen, L. Leblanc, M. Prystay, and C. Moreau. "Anisotropic Microstructure of Plasma-Sprayed Deposits." In ITSC 1998, edited by Christian Coddet. ASM International, 1998. http://dx.doi.org/10.31399/asm.cp.itsc1998p1577.
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Abstract The microstructure of plasma-sprayed deposits (PSD) is dominated by two void systems - interlamellar pores and intralamellar cracks - each with a different anisotropy. Varying anisotropics and crack-to-pore ratios within PSDs are responsible for the anisotropic properties observed in the deposits. While it is difficult to apply standard porosity measurement techniques to the assessment of anisotropic microstructures, novel techniques utilizing different approaches have recently emerged. Image analysis (IA) of impregnated PSD samples is the most direct technique. The structure is stabilized by impregnation and then polished and imaged. The limitations of IA lie in the impregnation process and in the subsequent polishing. Also, the images produced from anisotropic materials can be difficult to interpret quantitatively. The technique of small-angle neutron scattering (SANS) has recently been successfully applied to the study of PSDs. The major advantages of SANS are that it does not require sample preparation and that quantitative information can be gotten about the separate crack and pore systems, including their distinctive anisotropics. However, the relationship between the SANS results and the underlying structure is more complex and less intuitive than for IA, and the availability of the SANS technique is limited by the need to have access to a powerful neutron source, such as a reactor. Also, the two techniques present different views of the microstructure because of the different sensitivities in different parts of the size range. This paper compares results from IA and SANS from a set of thick plasma-sprayed ceramic deposits possessing a range of crack/pore microstructures, and discusses how the two techniques might complement one another.
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Hilgert, Oliver, Susanne Höhler, and Holger Brauer. "Anisotropic HFI Welded Steel Pipes for Strain Based Design." In 2016 11th International Pipeline Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ipc2016-64194.
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Generally isotropic behavior is assumed and demanded in line pipe specifications. Especially in strain based design, compressive and tensile strain capacity models rely on iso-tropic assumptions. On the other hand every pipe has got an anisotropic material characteristic which effects the performance in strain based design. In this contribution HFI-welded steel tubes are investigated due to their underlying material anisotropy. Depending on their basic strip weld material and production process the anisotropy differs from UOE or spiral welded pipes. Especially, in radial direction of steel pipe mechanical properties are challenging to gain. Thus two methods are suggested to characterize the anisotropic parameters in all three pipe directions. A small scale approach evaluating Lankford values and a full scale method evaluating Hill factors are applied. While Lankford method relies on strains, Hills method relies on stresses. Both methods are explained and validated by internal pressure and full scale bending tests. Using the anisotropy parameters, their effect on strain based design is analyzed — both experimentally and numerically. In the end it is shown that distinct anisotropies can provide a benefit for HFI-welded steel tubes concerning strain capacity in strain based design applications.
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Goldberg, Alexander, Matthias Zwicker, and Frédo Durand. "Anisotropic noise." In ACM SIGGRAPH 2008 papers. ACM Press, 2008. http://dx.doi.org/10.1145/1399504.1360653.
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Kovacs, Denis, Ashish Myles, and Denis Zorin. "Anisotropic quadrangulation." In the 14th ACM Symposium. ACM Press, 2010. http://dx.doi.org/10.1145/1839778.1839797.
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Jones, I. F., N. X. Bernitsas, P. A. Farmer, J. Leslie, and M. L. Bridson. "Anisotropic Ambiguities." In 64th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 2002. http://dx.doi.org/10.3997/2214-4609-pdb.5.p137.
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Jones, Ian F., Nick Bernitsas, Paul Farmer, Jennifer Leslie, and Mike Bridson. "Anisotropic ambiguities." In SEG Technical Program Expanded Abstracts 2002. Society of Exploration Geophysicists, 2002. http://dx.doi.org/10.1190/1.1816871.
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"CMB ANISOTROPIES INTERPOLATION." In International Conference on Imaging Theory and Applications. SciTePress - Science and and Technology Publications, 2009. http://dx.doi.org/10.5220/0001434401550158.
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Hollender, Peter, Anna Knight, Annette Caenen, et al. "Anisotropic Constructive Shearwave Interference Measurement of Transversely Anisotropic Materials." In 2018 IEEE International Ultrasonics Symposium (IUS). IEEE, 2018. http://dx.doi.org/10.1109/ultsym.2018.8579927.
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Labelle, Francois, and Jonathan Richard Shewchuk. "Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation." In the nineteenth conference. ACM Press, 2003. http://dx.doi.org/10.1145/777792.777822.
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Peravali, S., T. H. Hyde, K. A. Cliffe, and S. B. Leen. "An Anisotropic Creep Damage Model for Anisotropic Weld Metal." In ASME 2007 Pressure Vessels and Piping Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/creep2007-26262.
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Past studies from creep tests on uniaxial specimens and Bridgman notch specimens, for a P91 weld metal, showed that anisotropic behaviour (more specifically transverse isotropy) occurs in the weld metal, both in terms of creep (steady-state) strain rate behaviour and rupture times (viz. damage evolution). This paper describes the development of a finite element (FE) continuum damage mechanics methodology to deal with anisotropic creep and anisotropic damage for weld metal. The method employs a second order damage tensor following the work of Murakami and Ohno [1] along with a novel rupture stress approach to define the evolution of this tensor, taking advantage of the transverse isotropic nature of the weld metal, to achieve a reduction in the number of material constants required from test data (and hence tests) to define the damage evolution. Hill’s anisotropy potential theory is employed to model the secondary creep. The theoretical model is implemented in a material behaviour subroutine within the general-purpose, non-linear FE code ABAQUS [2]. The validation of the implementation against established isotropic continuum damage mechanics solutions for the isotropic case is described. A procedure for calibrating the multiaxial damage constants from notched bar test data is described for multiaxial implementations. Also described is a study on the effect of uniaxial specimen orientation on anisotropic damage evolution.
Reports on the topic "Anisotroping"
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Lee, Hung-Mou, and Chen-Kuo Yu. A Theorem of Anisotropic Absorbers. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada323831.
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Cheng, C. Z. Magnetospheric equilibrium with anisotropic pressure. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5730952.
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Nikkel, D. J., D. S. Nath, A. A. Brown, and J. Casey. Modeling of Anisotropic Inelastic Behavior. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/793453.
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Sahu, D., A. Langner, and Thomas F. George. Specific Heat of Anisotropic Superconductors. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada225031.
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Moss, W., and J. Levatin. MOSSFRAC: An anisotropic 3D fracture model. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/894759.
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Jensen, L. G., and J. A. Stein-Schabes. Effect of inflation on anisotropic cosmologies. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/6020214.
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Ebeida, Mohamed Salah. An Anisotropic Adaptive Voronoi Meshing Method. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1568991.
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Marcassa, Luis G. Anisotropic Interactions between Cold Rydberg Atoms. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada627619.
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Braun, R. J., S. R. Corriel, and R. F. Sekerka. Phase-field models for anisotropic interfaces. National Institute of Standards and Technology, 1993. http://dx.doi.org/10.6028/nist.ir.5130.
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Lukyanov, Alexander A., and Steven B. Segletes. Frontiers in Anisotropic Shock-Wave Modeling. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada557251.
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