Este trabalho apresenta uma metodologia para a inclusão de fenômenos dissipativos em relações constitutivas hiperelásticas. Embora seja dada ênfase para o efeito Mullins e histerese, esse procedimento pode ser aplicado a outros fenômenos como, por exemplo, de dano. Para isso, adota-se um modelo fenomenológico que inclui amolecimento em um modelo constitutivo hiperelástico através da pseudo-elasticidade, que permite que diferentes potenciais de energia possam ser utilizados em diferentes etapas do carregamento. Foram utilizados dois modelos hiperelásticos incompressíveis: Ogden e Hoss-Marczak. Para esse estudo, foram selecionados quatro diferentes materiais da literatura, três deles apresentavam apenas dados experimentais para tração uniaxial, enquanto o outro disponibilizou os ensaios de tração uniaxial, tração equibiaxial e cisalhamento puro. Foram selecionados dois parâmetros de amolecimento da literatura (Ogden e Roxburgh, 1999, e Dorfmann e Ogden, 2003) para modelar fenômenos dissipativos e então foram propostos novos parâmetros de amolecimento. Verificação gráfica dos resultados e um coeficiente de correlação (R2) foram utilizados para comparar o desempenho desses parâmetros. Os materiais foram considerados isotrópicos e incompressíveis e o carregamento quasi-estático para obtenção dos resultados. Alguns parâmetros propostos não capturaram o efeito dissipativo, outros superestimaram o amolecimento, enquanto os da literatura capturaram o efeito. Ao final, obteve-se resultados bastante satisfatórios para um dos parâmetros propostos, que se verificou ser uma generalização do modelo de Dorfmann e Ogden, 2003. / This work applies a methodology to include dissipative effects in hyperelastic constitutive relations. The paper focuses on the Mullins effect and hysteresis. However, the methodology can also be applied to other phenomena, like damage. Basically, it is a phenomenological inclusion of the softening behavior in a hyperelastic constitutive model using pseudo-elasticity, in which different energy potentials can be used in different steps of the loading. Two hyperelastic models were employed: Ogden’s and Hoss-Marczak’s models. Four different materials were modeled, three of them subjected to uniaxial tension only, and a fourth subjected to the three classical loadings, namely, uniaxial tension, equibiaxial tension and pure shear. Two softening parameters from the literature were implemented and new softening parameters were proposed. Graphical inspection and R2 correlation coefficient were used to compare the softening parameters. The materials were considered isotropic and incompressible, being subjected to quasi-static loading. Some of the proposed parameters did not captured the dissipative effect, other overestimate the softening, and those from the literature were able to capture the effects. Finally, very satisfying results were obtained with one the proposed softening parameters, which was a generalization of the one proposed by Dorfmann e Ogden, 2003.

A presença de compostos orgânicos no solo proporciona o desenvolvimento de uma fase adicional nos poros, imiscível com a fase aquosa e gasosa pré-existentes. A característica de imiscibilidade destes compostos, denominados de fase livre não aquosa (“nonaqueos phase liquid” – NAPL), torna a avaliação de um solo contaminado por tais substâncias bastante complexa. Dentre as substâncias pertencentes a este grupo NAPL, destacam-se os produtos derivados do petróleo. As propriedades mais importantes na avaliação de um solo contaminado por NAPL são suas relações constitutivas. Uma destas propriedades relaciona a sucção dos fluídos com suas respectivas saturações, enquanto que a outra relaciona a condutividade relativa dos fluidos com a saturação de cada um destes fluidos. A partir da curva de retenção de um solo contaminado, é possível quantificar de forma indireta a relação condutividade relativa-saturação. Todavia, a obtenção desta curva de retenção para um solo contaminado por NAPL é bastante complexa e está em desenvolvimento, exigindo cuidados na sua determinação. Para isso, assume-se que no interior de um poro contendo água, óleo e ar, o contaminante estará preferencialmente localizado entre a água e o ar. Isto é determinante ao admitir-se que a saturação da água Sw é uma função da sucção mátrica desenvolvida entre a água e o óleo e a saturação total dos líquidos St, (soma da saturação da água e do óleo) é dependente da sucção mátrica gerada entre o óleo e o ar. Esta hipótese possibilita a obtenção das curvas de retenção para sistemas trifásicos ar-NAPL-água a partir dos sistemas bifásicos NAPL-água e ar-NAPL. Assim sendo, o objetivo deste trabalho é desenvolver, a partir de um oedômetro com controle de sucção, um equipamento, denominado de célula multifásica, que permita o controle independente das pressões do ar, do NAPL e da água. Especificamente, este equipamento permitirá a determinação das curvas de retenção para sistemas bi e trifásicos. Para atingir esta meta, foi necessário transformar uma pedra porosa cerâmica comum em uma pedra porosa hidrofóbica (repelente à água), através de um tratamento químico da pedra porosa convencional em uma solução contendo uma substância comercialmente conhecida como Glassclad 18. Este novo equipamento permite o monitoramento da variação do volume de água e de óleo no interior de uma amostra de solo para diversas pressões capilares. Ensaios preliminares foram realizados em uma mistura composta de 70% de um solo arenoso e 30% de um solo argilo-arenoso, sendo o primeiro coletado no estado do Rio Grande do Sul enquanto que o segundo em Santa Catarina. Ambos os solos possuem propriedades físicas bem conhecidas. / The presence of organic compounds in the soil provides the development of an additional phase in the pore space, immiscible with the preexisting water and gaseous phases. This characteristic of immiscibility of such substances, called nonaqueos phase liquids – NAPL’s, turns the evaluation of a soil contaminated by these substances sufficiently complex. Among the substances pertaining to this group, called NAPL, the petroleum products are distinguished. The most important properties in the evaluation of a soil contaminated by NAPL are their constitutive relationships. One of these properties relates the pressure of the fluids with their respective saturations, while the other one relates the relative permeability of the fluids with the saturation of each one of these fluids. From the pressure-saturation constitutive relationship of a contaminated soil, it is possible to quantify indirectly the relative permeability-saturation relationship. However, the evaluation of the pressure-saturation relationship for a soil contaminated by NAPL is sufficiently complex and is in development, demanding considerable care in its determination. For this, it is assumed that, in the interior of a pore contaning water, oil and air, the organic liquid will be preferentially located between the water and air. That is imperative when assuming that water saturation of Sw is a function of the suction developed between the oil-water interface and the total liquid saturation St (sum of water saturation and oil saturation) is dependent of the suction generated between the airoil interfaces. This hypothesis makes possible the evaluation of the pressure-saturation relationship for the three-phase system air-NAPL-water from the two-phase systems NAPLwater and air-oil. Thus, the objective of this work is to develop, from the edometer with pressure control, another equipment, called the multiphase cell, that allows the independent control of the air, NAPL and water pressures. Specifically, this equipment will allow the determination of the pressure-saturation relationship for bi- and three-phase systems. To reach this goal, it was necessary to transform a standard ceramic porous stone in a hidrophobic porous stone (repellent to water), through a chemical treatment of the standard porous stone in a solution containing a substance commercially known as Glassclad 18. This new equipment allows the control of the volume changes of water and oil within a soil sample for different suction. Preliminary tests have been carried out with a mixture composed by 70% of sand and 30% of silt; the first material were collected in the state of the Rio Grande do Sul (Brazil) and the second in the state of Santa Catarina. Both materials have their physical properties well known.

Shape memory alloys (SMAs) are materials that show reversible, thermo-elastic, diffusionless, displacive (solid to solid) phase transformation, due to the application of temperature and/ or stress (/strain). Among different SMAs, NiTi is a popular one. NiTi shows reversible phase transformation, the shape memory effect (SME), where irreversible deformations are recovered upon heating, and superelasticity (SE), where large strains imposed at high enough temperatures are fully recovered. Phase transformation process in NiTi SMA is a very complex process that involves the competition between developed internal strain and phonon dispersion instability. In NiTi SMA, phase transformation occurs over a wide range of temperature and/ or stress (strain) which involves, evolution of different crystalline phases (cubic austenite i.e. B2, different monoclinic variant of martensite i.e. B19', and orthorhombic B19 or BCO structures). Further, it is observed from experimental and computational studies that the evolution kinetics and growth rate of different phases in NiTi SMA vary significantly over a wide spectrum of spatio-temporal scales, especially with length scales. At nano-meter length scale, phase transformation temperatures, critical transformation stress (or strain) and phase fraction evolution change significantly with sample or simulation cell size and grain size. Even, below a critical length scale, the phase transformation process stops. All these aspects make NiTi SMA very interesting to the science and engineering research community and in this context, the present focuses on the following aspects. At first this study address the stability, evolution and growth kinetics of different phases (B2 and variants of B19'), at different length scales, starting from the atomic level and ending at the continuum macroscopic level. The effects of simulation cell size, grain size, and presence of free surface and grain boundary on the phase transformation process (transformation temperature, phase fraction evolution kinetics due to temperature) are also demonstrated herein. Next, to couple and transfer the statistical information of length scale dependent phase transformation process, multiscale/ multiphysics methods are used. Here, the computational difficulty from the fact that the representative governing equations (i.e. different sub-methods such as molecular dynamics simulations, phase field simulations and continuum level constitutive/ material models) are only valid or can be implemented over a range of spatiotemporal scales. Therefore, in the present study, a wavelet based multiscale coupling method is used, where simulation results (phase fraction evolution kinetics) from different sub-methods are linked via concurrent multiscale coupling fashion. Finally, these multiscale/ multiphysics simulation results are used to develop/ modify the macro/ continuum scale thermo-mechanical constitutive relations for NiTi SMA. Finally, the improved material model is used to model new devices, such as thermal diodes and smart dampers.

Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第15312号 / 工博第3191号 / 新制||工||1480(附属図書館) / 27790 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 井合 進, 教授 田村 武, 教授 岡 二三生 / 学位規則第4条第1項該当

Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第15646号 / 工博第3304号 / 新制||工||1499(附属図書館) / 28183 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 岡 二三生, 教授 勝見 武, 准教授 木元 小百合 / 学位規則第4条第1項該当

[pt] Materiais não Newtonianos reagem de maneira diferente quando expostos a esforços cisalhantes ou extensionais. Uma equação constitutiva em que a tensão é função não só da taxa de deformação, mas também do tipo de escoamento é proposta e analisada teoricamente. Ela combina as informações obtidas em cisalhamento, extensão e movimento de corpo rígido em todas as regiões de um escoamento complexo. Esta equação é testada em códigos numéricos para duas geométricas axissimétricas diferentes: a contração abrupta 4:1 e o canal convergente R (2) z = C. Ambas as geometrias têm sido usadas para efetuar medições da viscosidade extensional. Para validação do modelo, foi construída uma seção de testes com uma contração abrupta 4:1. Foram feitos experimentos com fluidos Newtonianos e viscoelásticos utilizando a técnica de Velocimetria por Imagens de Partículas para determinação do campo de velocidade. / [en] Non-Newtonian materials exhibit different behavior if submitted to shear or extension. A constitutive equation in wich the stress is a function not only of the rate of deformation, but also of the type of the flow is proposed and analyzed theorecticaly. It combines information obtained in shear, extension and rigid body motion in all regions of a complex flow. This equation is tested with numerical codes for two different axissymmetrical geometries, namely, the 4:1 abrupt contraction and the R(2)z=C convergent channel. Both geometries have been employed to measure the extensional viscosity. In order to validate the model, a test section was buit with a 4:1 contraction. Newtonian and viscoelastic fluids were tested using the Particle Image Velocimetry technique to determine the velocity field.

Le traitement des sols à la chaux est une méthode couramment utilisée pour améliorer les propriétés mécaniques de sols aux performances insuffisantes. Cependant, ces améliorations mécaniques ne sont pas prises en compte dans les calculs de dimensionnement. Cette thèse propose une méthodologie pour pallier à ce problème. Un programme expérimental approfondi est réalisé afin de décrire avec précision le comportement mécanique d’un sol traité et les processus associés à la structuration introduite par le traitement. La composition chimique, et notamment la quantité de composés cimentaires hydratés, est déterminée par analyses thermogravimétriques et thermodifférentielles. Un couplage non-linéaire entre la quantité d’hydrates et la limite élastique se basant sur ces résultats expérimentaux est proposé. À partir de ces résultats, une nouvelle formulation a été développée afin de modéliser la dégradation de la structure en plasticité, et a servi au développement d’une nouvelle loi de comportement élasto-plastique basée sur le modèle de Cam Clay Modifié. Cette dernière a montré reproduire correctement les principaux traits de comportement spécifiques aux sols traités. Il est démontré que ce modèle est également adapté aux sols naturellement structurés. Afin de prendre en compte les effets du traitement et la présence de structure dans le dimensionnement, un programme basé sur la méthode des éléments finis, comprenant le pré- et le post-processing de la géométrie et des résultats du problème, a été développé. Une validation rigoureuse a confirmé l'implémentation correcte de la méthode et son potentiel pour l’optimisation du dimensionnement des ouvrages / The effects of lime treatment on the mechanical properties of soils are usually not accounted for in the design of geotechnical structures. As a result the potential of lime treatment has not been fully exploited. In this thesis, a comprehensive experimental program has been carried out to identity the key features of the mechanical behaviour of structured materials. The chemical modifications arising from lime treatment were quantified using thermal analysis methods. From these results a non-linear chemo-mechanical coupling was established between the concentration of cementitious compounds and the yield stress. Using these results, a new formulation to model the degradation of the structure at yield has been developed and implemented in a constitutive model for structured materials. This new model, developed in the framework of the Modified Cam Clay model, requires a limited number of additional parameters that all have a physical meaning and can all be determined from a single isotropic compression test. The model has proven to be successful in reproducing the key features of structured materials and for the modelling of the mechanical behaviour of lime treated specimens under various stress paths. Due to similarities in behaviour, it is shown that the formulation is also suitable for naturally structured soils. To account for a structured material in the design of geotechnical structures, a fully functional finite element program for elasto-plastic problems was developed including the pre- and post-processing of the results. A thorough validation has confirmed the good implementation of the finite element method and its suitability for the modelling of complex geometries involving structured materials

Dans un contexte mondial d’accroissement de la demande en travaux souterrains en sites urbains, l’ingénieur doit disposer d’outils et de méthodes performants pour concevoir des ouvrages sûrs, à risques évalués et maîtrisés. La prévision des tassements provoqués par le creusement de tunnels en site urbain repose largement sur des méthodes empiriques. Dans ce mémoire, on propose une méthode de prévision des tassements pour des tunnels creusés par la méthode conventionnelle avec présoutènements. Cette méthode est basée sur des modèles éléments finis tridimensionnels avec CESAR-LCPC. On s’intéresse d’abord aux spécificités des tunnels urbains, et aux limites des différentes méthodes empiriques et numériques. On introduit ensuite une loi de comportement du sol qui combine une élasticité non-linéaire et une isotropie transverse. Le modèle reproduit le profil, notamment la largeur, des cuvettes de tassements empiriques de référence et facilite les études de sensibilité. Le dimensionnement des présoutènements, boulons en fibre de verre et voûte parapluie, est ensuite décrit pour la maîtrise des tassements. La dernière partie est une étude de cas d’une conception par analyse de risques d’un ouvrage représentatif du contexte du Grand Paris Express / In a context of increasing demand for underground works in urban areas worldwide, the engineers must have efficient tools and methods to design safe structures, with assessed and managed risks. The prediction of settlements due to urban tunnelling is mainly made with empirical methods. In this dissertation, we propose a method of settlements prediction for tunnels built using conventional methods (i.e. without TBM), with reinforcements. This method is based on three dimensional finite element models with CESAR-LCPC. In the first place, we present the specificities of urban tunnels, and the limitations of numerical and empirical methods. Then, we introduce a constitutive model for the soil which combines a non-linear elasticity and a cross-anisotropic behaviour. This model reproduces the shape, and especially the width, of the reference empirical settlement troughs and permits easy sensitivity analysis. The design of reinforcements, fibreglass bolts and umbrella arches, is then described for the purpose of reducing the settlements. The last section is a case study of risk analysis design for a tunnel typical for the context of the Grand Paris Express project

The occurrence of hot tearing during solidification is one of the major factors influencing both the quality and productivity of aluminum castings. In order to reduce the formation of hot tears, quantitative information regarding both hot tearing formation and semi-solid deformation is essential. In this study, the mechanisms of hot tearing and semi-solid deformation have been investigated via two novel techniques: x-ray micro-tomography on material deformed in the semi-solid region, and development of a three phase microstructural model based on a geometry derived from a Voronoi diagram with rounded corners and porosity. Numerical techniques were utilized to quantify both the size evolution and orientation of internal damage relative to void growth. In order to conduct the above research, a new semi-solid tensile deformation methodology was devised which uses a two thermocouple control technique to enable accurate measurement of semi-solid tensile strength and ductility. The experimental work was conducted on the aluminum – magnesium alloy AA5182 in the as-cast and hot isostatic pressing (HIP) states. The x-ray micro-tomography technique was used to observe that semi-solid deformation is accommodated by internal damage via growth of as-cast porosity and the nucleation of new damage-based voids. As the volume fraction of damage increases, the growth of voids occurs in an orientation perpendicular to the loading direction, both through expansion within the grain boundary liquid and via coalescence between voids. The damage then localizes, causing failure. The finite element semi-solid microstructural model was used to explore the effects of fraction solid, fraction porosity, and grain size on semi-solid constitutive behaviour. The simulations revealed that increased grain size and fraction porosity lead to a reduction in flow stress for a given fraction solid. Furthermore, local strain accumulation was linked to hot tearing, since strain localizes in the liquid very early in the deformation process. Based on the model predictions, a new constitutive relationship was developed over the range 0.75 < fs < 0.95. Together, these two techniques have provided powerful new insight, such as the critical role played by as-cast porosity, on the phenomena of hot tearing and semi-solid deformation in aluminum alloys. / Applied Science, Faculty of / Materials Engineering, Department of / Graduate

Concentrating on G.W.F. Hegel’s controversial Naturphilosophie (1830), Part I ventures the following thesis: Hegelian nature is characterized by a “constitutive lack.” Insofar as the natural register lacks the precision and necessity immanent within the dialectical developments of conceptual thought it is capable of radical novelty—the unexpected. This is important: it offers a sense of how the natural register is open to thought and yet, simultaneously, a source of that which has the perpetual possibility of undermining conceptual distinctions and anticipations. The remainder of the project systematically maps what such a conception of nature must mean in terms of Hegel’s concept of spirit (Geist). Consequently, Part II analyzes Hegel’s bizarre account of psychopathology. The central thesis in this context claims that what Hegel’s speculative analysis of ‘madness’ shows us are the ways in which subjectivity might be dominated by its material-instinctual dimension as it unfolds within the unconscious depths of concrete subjectivity. Subjectivity retains the perpetual possibility of regression insofar as it reverts to being materially (maternally) determined strictly by way of externality. Questioning the presupposition of nature’s complete sublation, Part III focuses on Hegel’s political writings. Hegel’s analysis of criminality and punishment allows for the possibility of what we will call “surplus repressive punishment.” A surplus repressive punishment, a brute form of natural external pressure, would constitute spirit’s, i.e. freedom’s, “regressive de-actualization” at both the individual (subjective) and intersubjective (objective, communal) levels. Therefore, surplus repressive punishment, as an expression of spirit’s naturality, serves to undermine spirit’s objective actualization in its entirety. The problem of nature remains very much an active dimension of spirit’s concrete actualization at the socio-political level. The project offers a precise indication of how Hegel’s philosophy of spirit, i.e. his philosophy of freedom, is one intertwined with the problem instantiated by the matrices of nature. Sensitivity to this problem, that there is a problem here, and that Hegel’s system can be pursued to address it is one of the not always recognized merits of his thought. Simultaneously, Hegel’s system becomes surprisingly relevant for our contemporary world insofar as nature remains a problem for our living present.