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Estudo comparativo de propriedades mecânicas e textura de laminados da liga de alumínio 3104-H19.Martins, André Luís Teixeira 26 August 2014 (has links)
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Previous issue date: 2014-08-26 / The beverage metal packaging industry figures as one of the most important worldwide aluminum consumer. A detailed knowledge of the raw material used in the beverage can body
production is essential to maintain and improve the productivity levels imposed by the market. It is on this point that the present work focus, in the micro structural and mechanical
characterization of three different AA 3104-H19 rolled coils, to be able to compare them in search of similarities and discrepancies. Their chemical compositions were analyzed by energy dispersion (EDS), and atomic absorption (AA) spectrometry, their micro structures were identified by optical microscopy and scanning electron microscopy. Their mechanical properties were described by tensile tests, Erichsen tests, forming limit curves (FLC), micro
hardness Vickers tests, and surface roughness tests (Ra). The anisotropy coefficient R, also known as Lankford´s R, and the strain hardening exponent n were calculated using the results
and specimens of the tensile tests. In addition, their crystallographic textures were analyzed by orientation distribution functions and pole figures. The experiment s results showed a strong similarity among all three rolled sheets, their properties differing only subtly. On average the yield strength of all three was found to be 265 MPa, their ultimate tensile strength
285 MPa. Elongation was very similar for all three, around 4.7%. The strain hardening exponent n averaged 0.078, a value comparable to some found in literature. The normal (R)
and planar (UR) anisotropy values were found to be 0.77 and 0.22, respectively, indicating a slight tendency to form ears at 45o and good deep drawing formability. The microstructure
analysis of all three sheets revealed two kinds of intermetallic compounds with distinct morphology, Al6(Fe,Mn) and Al12(Fe,Mn)3Si, not scattered homogeneously, together with
well distributed dispersoids in the aluminum matrix. The crystallographic texture of the three sheets also exhibited similarities; all had the same dominant components with comparable intensities. On all three it was possible to notice that the typical strain hardening textures, Brass {110}<112> and Copper {112}<111>, together with Goss {110}<001>, were balanced by the Cube {001}<100> component, typical of recrystallization. The notable differences found could be summarized in slightly higher mechanical properties for one of the sheets and smaller and less widespread intermetallic compounds for another. / A indústria de embalagens metálicas para bebidas se destaca como uma das mais importantes no consumo mundial de alumínio. O conhecimento detalhado da matéria prima utilizada para
a produção de latas para bebidas é essencial para manter e melhorar os níveis de produtividade impostos pelo mercado. O foco do presente trabalho encontra-se na caracterização microestrutural e mecânica de três diferentes laminados da liga de alumínio 3104-H19, a fim de compará-los em busca de similaridades e discrepâncias. As suas composições químicas foram avaliadas através de espectroscopia de dispersão de energia (EDS-MEV) e de absorção atômica (AA). Suas microestruturas foram analisadas através de microscopia óptica e microscopia eletrônica de varredura. Suas propriedades mecânicas foram apuradas pelo uso de ensaios de tração uniaxiais, ensaios Erichsen, curvas limite de conformação (CLC), microdureza Vickers, e rugosidade (Ra). O coeficiente de anisotropia, R de Lankford, e o expoente de encruamento (n), foram calculados através dos resultados dos ensaios de caracterização mecânica.Em adição, uma análise da textura cristalográfica dos laminados foi realizada através do uso de funções de distribuição de orientação e figuras de polo. Os resultados demostraram semelhança entre os três laminados, suas propriedades e características diferindo apenas sutilmente. Na média o limite de escoamento dos três ficou em 265 MPa e o limite de resistência a tração em 285 MPa. Os alongamentos percentuais ficaram todos ao redor de 4,7%. O expoente de encruamento n ficou na média em 0,078, valor próximo a alguns encontrados na literatura. Os índices de anisotropia normal (R) e planar (UR) ficaram próximos a 0,77 e -0,22, respectivamente, indicando uma leve tendência ao orelhamento a 45º e boa conformabilidade em repuxo profundo. A análise microestrutural dos três laminados revelou dois tipos de compostos intermetálicos com morfologia distinta, Al6(Fe,Mn) e Al12(Fe,Mn)3Si, espalhados não homogeneamente, junto à dispersoides bem distribuídos na matriz de alumínio. A textura cristalográfica dos três laminados também exibiu similitudes, todas com as mesmas componentes dominantes em intensidades parecidas. Nos três notou-se que a textura típica de deformação para ligas de alumínio, latão {110}<112> e cobre {112}<111>, junto a textura Goss {110}<001>, estavam balanceadas
pela textura cubo {001}<100>, típica de recristalização. As diferenças encontradas resumiram-se a propriedades mecânicas sutilmente superiores em um dos laminados e compostos intermetálicos menores e em menor volume em outro.
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Topographical micro-changes in corrugated board production : effects on flexographic post-print qualityRehberger, Marcus January 2007 (has links)
The appearance and design of a package are key properties to attract and to focus the attention of a customer. Print quality contributes to a great degree to achieve these requirements. Most critical perceived in terms of quality are print defects like mottling, gloss and stripiness, which all appear in the printing of corrugated board. Stripiness is especially critical because it is a defect directly caused by the corrugated board construction. A further cause can be generated by the production process of corrugated board. Pre-studies by Odeberg Glasenapp (2004) revealed a difference in surface micro-roughness between the regions on the peak line of the liner and the regions in the valley between two peaks of the corrugation. This knowledge was the basis for the work described in this thesis. In a first stage, laboratory trials were conducted with sets of coated and uncoated samples of various grammages. The trial was set-up in order to simulate the conditions in the corrugator as closely as possible. In the evaluations, it was found out that the settings were too high. For that reason, the coated samples were influenced to a too high degree and needed to be excluded from further evaluations. With the uncoated samples, on the other hand, a change in micro surface roughness was detectable. The roughness is decreased on the peaks and the gloss appearance was the conclusion. The analysis of the printed samples focused on shifts in colour and print density. It is unclear if both are affected only surface roughness changes and/or by the typical corrugated board effect of washboarding. A full-scale test was performed in order to confirm the results of the laboratory test. A test series was chosen with coated and uncoated outer liners. Contrary to the lab-test results, the uncoated grades showed no surface roughness changes. Instead, the coated samples were affected to a great extent. The changes in surface roughness and gloss appearance were similar to the lab-test. This confirms that the lab-test samples were exposed to heat, pressure and shear to a too high degree. The print analysis of the full-scale test did not agree with the laboratory test. Gloss lines were visually detectable, but they were difficult to measure. A reason could be that the ink is capable on forming an ink film layer on top of the surface of the paper. This would cover the micro roughness of the matt parts thereby creating an almost homogeneous glossy appearance. / QC 20101116
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The effect of high-ratio biochar replacement in concrete on performance properties : Experimental study of biochar addition to concrete mixture.Turovaara, Mina January 2022 (has links)
Globally the emissions of carbon dioxide from anthropogenic activities are an issue regarding the future of our planet. Today the building industry is a large contributor with approximately 10 percent of the total emissions coming from energy usage in the building industry, where about 7 percent of the global CO2 emissions are connected to the cement industry. Since cement is important and today, a non-replaceable material in concrete mixture considering the mechanical properties this is considered as a problem. Concrete is essential to the building and infrastructure industry and therefore it is of great value for society. To be able to lower the impact of concrete manufacturing, different materials are investigated to replace a part of the cement. Today, alternative materials are implemented in the cement compositions to improve the environmental impact. One material commonly used is fly ash, a waste material from coal combusting industries. However, a renewable and carbon emission sinking product could have a great impact on the total emissions from concrete manufacturing. A product that could be suitable for this is biochar, a product from pyrolysis of biomass. Previous studies show properties that could be desirable in concrete manufacturing such as high specific surface area, low bulk density, low thermal conductivity, and sound-absorbing function. Also, there are studies of biochar in cementitious material with promising results. To further investigate the biochar impact on concrete this thesis is conducted. A literature review of previous studies of biochar applications and biochar addition to concrete was conducted. This is to analyse the properties of biochar and the effect of the application on the concrete properties. Also, an experimental study was conducted to further analyse the concrete and compare the findings to previous studies. In this thesis concrete with biochar ratios of 5, 8, and 10 percentages according to the weight of the cement were compared to evaluate the performance properties. This was conducted by a laboratory test where 100 mm cubes were cast and tested for their compressive strength after 28 and 56 days. Other properties which were evaluated were the workability, density, microstructure, and chemical properties. The result showed that the workability was significantly lower for concrete mixtures with biochar addition. Also, the density decreased as the ratio of biochar increased. The same happened to the compressive strength where the comparison species had a compressive strength of 72 MPa after 28 days and the sample with 10 percent had a compressive strength of 52 MPa. However, the sample with 10 percent of biochar had the highest increase of compressive strength after additional 28 days of curing. The FTIR could not show any significant changes between samples with zero biochar addition and the samples with biochar addition / Utsläpp av koldioxid är ett globalt problem som hotar framtiden för vår planet. Idag är byggindustrin en stor bidragande faktor till dessa utsläpp där omkring 10 % av de globala utsläppen kan kopplas till energiförbrukningen i byggindustrin. 7% av de globala utsläppen kommer från cementindustrin. Då cement är ett så pass viktigt material och det saknas ersättande material med samma egenskaper anses detta vara ett problem. Betong är grundläggande för bygg- och infrastrukturmarknaden och är därför viktigt för samhället. För att kunna minska påverkan av betongtillverkningen så utreds olika material för att kunna minska cementandelen i betongen. Idag finns alternativa material som ersätter en del av cementen för att minska klimatavtrycket. Ett sådant material är flygaska, vilket är ett restmaterial från industrier. Att i stället ersätta detta med ett förnybart bio-baserat material med koldioxidsänkande egenskaper skulle kunna innebära en förbättring av de miljöpåverkande egenskaper som finns hos betongtillverkningen. En produkt som skulle kunna vara lämplig för detta är biokol vilket är en produkt från anaerob förbränning av biomassa. Tidigare studier visar att egenskaper som skulle kunna vara fördelaktiga vid betongtillverkning finns hos biokol. Dessa egenskaper är hög specifik ytarea,låg skrymdensitet, låg värmekonduktivitet och ljudabsorberande egenskaper. Det finns även tidigare studier där biokol har applicerats till betong där resultatet har varit lovande. Detta examensarbete har skrivits för att ytterligare analysera biokolets inverkan på betongen. För att göra detta har en litteraturstudie sammanställts med tidigare studier av biokol och biokolets inverkan på betong. Detta för att analysera biokolets karaktärsdrag och vilka effekter det har på betongens egenskaper. Till detta har även en experimentell studie gjorts för att ytterligare analysera betongens beteende vid applicering av biokol och för att kunna jämföra resultat från tidigare studier. I detta examensarbete har cementet i betongen ersatts med 5, 8 och 10% biokol av cementets vikt för att kunna jämföra egenskaperna mellan de olika proverna. Detta gjordes genom ett laboratorietest där 100 mm kuber gjöts och testades för tryckhållfastheten efter 28 och 56 dagar. Andra egenskaper som kontrollerades var konsistensen, densiteten och mikrostrukturen genom FTIR test. Resultatet visade att konsistensen påverkades kraftigt då biokol adderades till betongen. Densiteten minskade desto större andel av cementet som byttes ut. Liknande resultat uppmättes för tryckhållfastheten där den minskade från 71,9 MPa för proverna utan biokol till 51,6 MPa för betongen med 10% biokol, detta efter 28 dagar. Dock så kunde det ses att den största tillväxten av hållfasthet efter ytterligare 28 dagars härdning kunde uppmätas i provet med högst andel biokol (10%). Resultatet från FTIR testet kunde inte visa några tydliga skillnader mellan proverna med och utan biokol.
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Characterisation of the mechanical behaviour of networks and woven fabrics with a discrete homogenization model / Caractérisation du comportement mécanique des réseaux et des tissus avec un modèle d'homogénéisation discretGazzo, Salvatore 10 June 2019 (has links)
Au cours des dernières décennies, le développement de nouveaux matériaux a progressé pour les applications liées à la mécanique. De nouvelles générations de composites ont été développées, qui peut offrir des avantages par rapport aux tapis unidirectionnels renforcés de fibres couramment utilisés les matériaux prennent alors le nom de woven fabrics. Le comportement de ce matériau est fortement influencé par la micro-structure du matériau. Dans la thèse, les modèles mécaniques et les schémas numériques capables de modéliser les comportement des tissus et des matériaux de réseau généraux ont été développés. Le modèle prend en compte la micro-structure au moyen d'une technique d'homogénéisation. Les fibres dans le réseau ont été traités comme des micro-poutres, ayant une rigidité à la fois en extension et en flexion, avec différents types de connexions. La procédure développée a été appliquée pour obtenir les modèles mécaniques homogénéisés pour certains types de réseaux de fibres biaxiaux et quadriaxiaux, simulant soit des réseaux de fibres (en ce cas a été supposé parmi les fibres) ou des tissus avec une interaction négligeable entre les faisceaux de fibres et en empêchant tout glissement relatif (dans ce cas, les connexions ont été simulés au moyen de pivots). Différentes géométries ont été analysées, y compris la cas dans lesquels les fibres ne sont pas orthogonales. On obtient généralement un premier milieu à gradient mais, dans certains cas, la procédure d'homogénéisation lui-même indique qu'un continuum d'ordre supérieur est mieux adapté pour représenter la déformation de la micro-structure. Des résultats spéciaux ont été obtenus dans le cas de fibres reliées par pivots. Dans ce cas, un matériau orthotrope à module de cisaillement nul a été obtenu. Un tel matériau a un tenseur constitutif elliptique, il peut donc conduire à des concentrations de contrainte. Cependant, il a été montré que certaines considérations sur le comportement physique de tels réseaux indiqué que les termes d'ordre supérieur inclus dans l'expansion des forces internes et des déformations, de sorte qu'un matériau de gradient de déformation a été obtenu. Les résultats obtenus peuvent être utilisés pour la conception de matériaux spécifiques nécessitant des propriétés. Bien que le modèle de référence soit un matériau de réseau, les résultats obtenus peuvent être appliqué à d'autres types similaires de microstructures, comme des matériaux pantographiques, des micro-dispositifs composé de micro-poutres, etc. Ils étaient limités à la gamme d'élasticité linéaire, qui est petite déformation et comportement élastique linéaire. Ensuite, les simulations numériques ont été axées sur les tests d'extension et les tests de biais. Le obtenu configurations déformées sont conformes aux tests expérimentaux de la littérature, tant pour tissus équilibrés et non équilibrés. De plus, une comparaison entre les premier et deuxième gradients des prédictions numériques ont été effectuées. Il a été observé que les prédictions de deuxième gradient mieux simuler les preuves expérimentales. / In the past decades there has been an impressive progress in the development of new materials for mechanical related applications. New generations of composites have been developed, that can offer advantages over the unidirectional fibre-reinforced mats commonly used then materials take the name of woven fabrics. The behaviour of this material is strongly influenced by the micro-structure of the material. In the thesis mechanical models and a numerical scheme able to model the mechanical behaviour of woven fabrics and general network materials have been developed. The model takes in to account the micro-structure by means of a homogenization technique. The fibres in the network have been treated like microbeams, having both extensional and bending stiffness, with different types of connection, according to the pattern and detail of the network. The developed procedure was applied for obtaining the homogenized mechanical models for some types of biaxial and quadriaxial networks of fibres, simulating either fibre nets (in this case rigid connection were assumed among the fibres) or tissues with negligible interaction between the fibre bundles, and with relative sliding prevented (in this case the connections were simulated by means of pivots). Different geometries were analysed, including the cases in which the fibres are not orthogonal. A first gradient medium is usually obtained but, in some cases, the homogenization procedure itself indicates that a higher order continuum is better fit to represent the deformation of the micro-structure. Special results were obtained for the case of fibres connected by pivots. In this cases an orthotropic material with zero shear modulus was obtained. Such a material has a not elliptic constitutive tensor, thus it can lead to strain concentrations. However, it was shown that some considerations about the physical behaviour of such networks indicated that higher order terms had to be included in the expansion of the internal forces and deformations, so that a strain gradient material was obtained. The results obtained can be used for the design of specific materials requiring ad-hoc properties. Although the reference model is a network material, the results obtained can be applied to other similar kinds of microstructures, like pantographic materials, micro devices composed by microbeams etc. They have been limited at the range of linear elasticity, that is small deformation and linear elastic behaviour. Then, numerical simulations were focused on extension tests and bias tests. The obtained deformed configurations are consistent with the literature experimental tests, both for balanced and unbalanced tissues. Moreover, a comparison between first and second gradient numerical predictions was performed. It was observed that second gradient predictions better simulate the experimental evidences.
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The meaning of the expression having died to sin in Romans 6:1-14Mabelane, Kolena Solomon 11 1900 (has links)
The letter to the Romans conveys a message of God's love and
how through his grace, he has prepared a way to liberate
mankind from a life of sin to a life of righteousness. But
the way the message is presented, this grace may easily be
misunderstood as an encouragement for people to live in sin.
In Chapter 6:1-14, a concise but detailed outline of the
message of the epistle unfolds into two main sections,
namely, the Indicative and the Imperative. Key statements in
these sections are: 'How can we who have died to sin,
continue to live in it?' (6:2), and 'Consider yourselves dead
to sin and alive to God' (6:11). Failure to distinguish the
separate meanings of these statements may lead to the
conclusion that the pericope encourages libertinism.
In outlining the:meaning of this expression, 'We have died to
sin ... ', I hope to make a contribution for a better
understanding of the message of this pericope, namely: The
grace of God that enables believers to live a righteous / Biblical and Ancient Studies / M.A. (Theology)
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Joint super-resolution/segmentation approaches for the tomographic images analysis of the bone micro-structure / Approches de super-résolution/segmentation pour l'analyse d'images tomographiques de la microstructure osseuseLi, Yufei 20 December 2018 (has links)
L'ostéoporose est une maladie caractérisée par la perte de la masse osseuse et la dégradation de la micro-architecture osseuse. Bien que l'ostéoporose ne soit pas une maladie mortelle, les fractures qu'elle provoque peuvent entraîner de graves complications (lésions des vaisseaux et des nerfs, infections, raideur), parfois accompagnées de menaces de mort. La micro-architecture osseuse joue un rôle important dans le diagnostic de l'ostéoporose. Deux appareils de tomodensitométrie courants pour scanner la micro-architecture osseuse sont la tomodensitométrie quantitative périphérique à haute résolution et la tomodensitométrie microscopique. Le premier dispositif donne accès à l'investigation in vivo, mais sa résolution spatiale est inférieure. Le micro tomodensitomètre donne une meilleure résolution spatiale, mais il est contraint à une mesure ex vivo. Dans cette thèse, notre but est d'améliorer la résolution spatiale des images de tomodensitométrie périphérique à haute résolution afin que l'analyse quantitative des images résolues soit proche de celle donnée par les images de tomodensitométrie Micro. Nous sommes partis de la régularisation de la variation totale, à une combinaison de la variation totale et du potentiel de double puits pour améliorer le contraste des résultats. Ensuite, nous envisageons d'utiliser la méthode d'apprentissage par dictionnaire pour récupérer plus de détails sur la structure. Par la suite, une méthode d'apprentissage approfondi a été proposée pour résoudre un problème de super résolution et de segmentation joint. Les résultats montrent que la méthode d'apprentissage profond est très prometteuse pour les applications futures. / Osteoporosis is a disease characterized by loss of bone mass and degradation of bone microarchitecture. Although osteoporosis is not a fatal disease, the fractures it causes can lead to serious complications (damage to vessels and nerves, infections, stiffness), sometimes accompanied with risk of death. The bone micro-architecture plays an important role for the diagnosis of osteoporosis. Two common CT devices to scan bone micro architecture is High resolution-peripheral Quantitative CT and Micro CT. The former device gives access to in vivo investigation, but its spatial resolution is inferior. Micro CT gives better spatial resolution, but it is constrained to ex vivo measurement. In this thesis, we attempt to improve the spatial resolution of high resolution peripheral CT images so that the quantitative analysis of the resolved images is close to the one given by Micro CT images. We started from the total variation regularization, to a combination of total variation and double-well potential to enhance the contrast of results. Then we consider to use dictionary learning method to recover more structure details. Afterward, a deep learning method has been proposed to solve a joint super resolution and segmentation problem. The results show that the deep learning method is very promising for future applications.
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Beeinflussung von geschweißten Auftragschichten durch instationäre Gasströme im Plasma-Pulver-SchweißprozessEbert, Lars 11 March 2011 (has links) (PDF)
In der vorliegenden Arbeit wurde untersucht, wie sich instationäre Plasma- und Fördergasvolumenströme nutzen lassen, um den Plasma-Pulver-Auftragschweißprozess in seiner Gesamtheit zu beeinflussen.
Dabei wurden die Veränderungen in der Lichtbogencharakteristik, der Pulverzuführung und insbesondere dem Schmelzbad analysiert und in einem theoretischen Prozessmodell zusammengefasst. Die gewonnenen Ergebnisse und die aufgezeigten Wirkzusammenhänge konnten in der Folge dazu genutzt werden, die Hartstoffverteilung in Pseudolegierungen und den mikrostrukturellen Aufbau geschweißter konventioneller Hartschichten zu modifizieren. / In the present studies it is examined, how unsteady gas flows can be used to modify the plasma transfer arc welding process in its entirety. In the first step it was analysed in which different ways non-steady-state plasma and transport gas flows influence the arc characteristics, the powder transport and the melt bead properties. With the obtained results a theoretical model was developed, to describe the observed behaviours and understand the coherences. Subsequently the preliminary findings were used to alter the distribution of tungsten-carbide in a welded hardface composite coating and to modify the microstructure of a conventional alloy welded with the plasma transfer arc process.
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The meaning of the expression having died to sin in Romans 6:1-14Mabelane, Kolena Solomon 11 1900 (has links)
The letter to the Romans conveys a message of God's love and
how through his grace, he has prepared a way to liberate
mankind from a life of sin to a life of righteousness. But
the way the message is presented, this grace may easily be
misunderstood as an encouragement for people to live in sin.
In Chapter 6:1-14, a concise but detailed outline of the
message of the epistle unfolds into two main sections,
namely, the Indicative and the Imperative. Key statements in
these sections are: 'How can we who have died to sin,
continue to live in it?' (6:2), and 'Consider yourselves dead
to sin and alive to God' (6:11). Failure to distinguish the
separate meanings of these statements may lead to the
conclusion that the pericope encourages libertinism.
In outlining the:meaning of this expression, 'We have died to
sin ... ', I hope to make a contribution for a better
understanding of the message of this pericope, namely: The
grace of God that enables believers to live a righteous / Biblical and Ancient Studies / M.A. (Theology)
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Personligt berättande och återberättande av saga hos 7;0–8;11 åriga svensktalande barn : En jämförelse med engelsktalande barn på IrlandForsell, Hampus, Björsand, Marcus January 2016 (has links)
A common way to examine children's language production is to analyze their narrative ability, which has been observed in several studies in various languages. The present study aims to analyze Swedish children's stories at microstructural level (grammatical and utterance level) and macrostructural level (discourse level) and examine how these results differ between two narrative elicitation methods. Furthermore, the study aims to investigate if the results from Swedish and English speaking children differ between these two elicitation methods. The present study involved 40 typically developing children aged 7;0–8;11 years with Swedish as their native language from southeastern Sweden. The two narrative elicitation methods used were personal narrative generation and fictional narrative retell. During personal narrative generation the participants were prompted to share their own experiences based on given themes with image support. In the fictional narrative retell participants were asked to retell the tale "Frog, Where are you?" (Mayer, 1969). The participants' two stories were transcribed in the program Systematic Analysis of Language Transcripts (SALT) and analyzed at micro- and macrostructural level. At the microstructural level the following measures were investigated: Total utterances (TU), Mean Length of Utterance in Words (MLU-w), Type Token Ratio (TTR), Percentage of Maze Words (PcMw), Overgeneralization Errors (EO) and Total Number of Words (TNW). For macrostructural analysis the Narrative Scoring Scheme (NSS) was used. At the microstructural level participants achieved higher MLU-w, TTR and PcMw in the fictional narrative retell than in personal narrative generation. TNW and MLU-w correlated with participants' age at fictional narrative retell. The participants generated higher values regarding TU and TNW in personal narrative generation. Analysis of the macrostructure showed that the majority of the participants achieved higher scores in fictional narrative retell than in personal narrative generation. The results regarding the macrostructural level of the fictional narrative retell correlated with the age of the participants. Similar trends between the elicitation methods appeared in the English-speaking participants.
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A Numerical Implementation of an Artery Model Using Hybrid FemSingh, Eeshitw Kaushal January 2016 (has links) (PDF)
The goal of this thesis is to develop a hybrid _nite element formulation to carry out stress analysis of arteries. To the best of our knowledge, a hybrid _nite element impel mentation of the Holzapfel-Ogden artery model has not been carried out before. Since arteries are thin `shell-type' structures, they are subjected to membrane, shear and volumetric locking in case when standard _nite elements are used. Since hybrid _nite elements are known to overcome these problems, we develop hybrid hexahedral element formulations (both lower and higher-order) for artery analysis. We demonstrate The better coarse mesh accuracy of hybrid elements, which are based on a two-_eld variational formulation, over conventional displacement based elements. Typically, wend that three or four extra levels of renement are required with conventional elements to achieve the ame accuracy as hybrid elements. The recently proposed Holzapfel-Ogden constitutive model for the artery and its implementation both within the conventional and hybrid _nite element frameworks is discussed. The numerical implementation is particularly challenging due to the presence of _bers which can only take tensile loads. The mathematically exact tangent stiness matrix that we have derived in this work is crucial in ensuring convergence of the numerical strategy.
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