Nous proposons une nouvelle approche inspirée des modèles d'endommagement non-locaux pour décrire la ruine des matériaux quasi-fragiles désordonnés. Les hétérogénéités matériaux sont introduites à une échelle continue mésoscopique via des variations spatiales de la résistance à l'endommagement alors que le mécanisme de redistribution des contraintes est décrit à travers une fonction d'interaction que l'on peut faire varier. L'évolution spatio-temporelle de l'endommagement est déterminée à partir du principe de conservation d'énergie et caractérisée via une étude statistique des précurseurs à la rupture. Cette approche nous permet de prédire la valeur des seuils de localisation et de rupture en fonction de la nature des redistributions. A l'approche de la rupture, nous mettons également en évidence une augmentation en loi de puissance du taux d'énergie dissipée ainsi qu'une longueur de corrélation, supportant l'interprétation de la rupture quasi-fragile comme un phénomène critique. En effet, nous démontrons que notre model d'endommagement s'apparente à la loi d'évolution d'une interface élastique évoluant dans un milieu désordonné. Cette analogie nous permet d'identifier les paramètres d'ordre et de contrôle de cette transition critique et d'expliquer les invariances d'échelle des fluctuations dans la limite champ moyen. Enfin, nous appliquons ces concepts théoriques à travers l'étude expérimentale de la compression d'un empilement bidimensionnel de cylindres élastiques. Notre approche permet de décrire de façon quantitative la réponse mécanique non-linéaire du matériau, et en particulier la statistique des précurseurs ainsi que la localisation des déformations. / We propose a novel approach inspired from non-local damage continuum mechanics to describe damage evolution and quasi-brittle failure of disordered solids. Heterogeneities are introduced at a mesoscopic continuous scale through spatial variations of the material resistance to damage. The central role played by the load redistribution during damage growth is analyzed by varying the interaction function used in the non-local model formulation. The spatio-temporal evolution of the damage field is obtained from energy conservation arguments, so that the formulation is thermodynamically consistent. We analytically determine the onsets of localization and failure that appear controlled by the redistribution function. Damage spreading is characterized through a complete statistical analysis of the spatio-temporal organization of the precursors to failure. The power law increase of the rate of energy dissipated by damage and an extracted correlation length close to failure supports the interpretation of quasi-brittle failure as a critical phenomena. Indeed, we establish a connection between our damage model and the evolution law of an elastic interface driven in a disordered medium. It allows to identify the order and control parameters of the critical transition, and capture the scale-free statistical properties of the precursors within the mean field limit. Finally, we experimentally investigate the coaction of localized dissipative events and elastic redistributions in disordered media via compression experiments of two-dimensional arrays of hollow soft cylinders. Our experimental observations show a quantitative agreement with the predictions derived following our approach.

A simulação numérica de escoamentos de fluidos em uma grande variedade de aplicações requer a utilização de técnicas numéricas de alta eficência e recursos computacionais de alto desempenho. O objetivo deste trabalho é iniciar uma investigação de escoamentos de fluido durante o enchimento de compartimentos de reservatórios. Uma abordagem inicial foi tratar problemas de escoamento em um canal, rebuscando a geometria do domínio para contemplar problemas mais complexos. Este trabalho apresenta o desenvolvimento e os resultados obtidos de um método numérico para simulação de escoamento de fluido incompressível em um domínio tridimensional, onde as equações de Navier-Stokes são desenvolvidas em uma formulação euleriana e discretizadas pelo método de elementos finitos. Os termos convectivos destas equações foram tratados pelo método semi-lagrangeano e o método de Galerkin foi utilizado para discretização espacial, um método baseado em decomposição LU foi utilizado para desacoplar as componentes de velocidade e pressão, sendo esta última calculada utilizando-se uma aproximação hidrostática. O domínio tridimensional foi representado por uma malha manipulada por uma estrutura de dados topológica, formada por células que definem elementos prismáticos lineares. Foram realizados experimentos sob várias alterações na geometria do domínio e também sob diferentes condições iniciais. Os resultados mostraram uma boa aproximação do método, quando analisado comparativamente a uma solução analítica / The numerical simulation of fluid flow over many applications require the use of numerical techniques of high efficiency and demand high computational power. This work aims at initiating an investigation about fluid flows while filling reservoirs. The initial approach was to deal with fluid flows in a retangular duct, as increasing the complexity of its geometry in order to model more complex cases. This document describes the development of a numerical method for the simulation of incompressible fluid flow over a threedimentional domain, where the Navier-Stokes equations were written under an Eulerian formulation and discretized by the Finite Elements Method. The semi-Lagrangean method was used to discretize the convective terms and the components of velocity and pressure were decoupled through the use of a method based on LU decomposition, where the final pressure was determined by using a hidrostatic aproximation. The threedimentional domain was represented by a mesh, manipulated by a topologic data structure, formed with cells that define linear prismatic elements. Many experiments were performed under different geometries of the domain and also under different initial conditions. The result showed a good approximation of the described method, when compared with an analitical solution

Le livre : Principia Mathematica Philosophiae Naturalis (1687) de Isaac Newton constitue pour la science moderne un texte fondateur. Le corps de cet ouvrage est constitué de trois parties principales appelées livres. Parmi ces trois livres, les livres I et III consacrés principalement à l'étude du cosmos ont fait l'objet de nombreuses études. Le livre II consacré à l'étude de la résistance au mouvement des milieux fluides a été quelque peu délaissé et même dévalorisé par l'historiographie. Dans le livre II Newton détourne son regard du ciel et le porte sur terre. L'étude de cette partie des Principia nous permet de : revisiter et d'approfondir le concept newtonien de force, de découvrir l'usage de la notion de pression, de préciser le rôle de la géométrie euclidienne. Pour la géométrie nous avons été particulièrement attentif aux différentes fonctions des figures. Nous avons travaillé à partir de plusieurs traductions, principalement celle de la marquise du Châtelet de 1759 et de celle plus récente de Cohen et Whitman. Nos référents essentiels sont : Blay, Cohen, De Gand, Janiak, Koyré, McMullin, Smith et Westfall. / Book : Isaac Newton's Principia Mathematica Philosophiae Naturalis (1687) represents a fundamental text for modern science. The body of that work is in three major parts called books. Among these three books, I and III are primarily dedicated to the study of the cosmos and have been the objects of numerous studies. Book II is dedicated to the study of resistance to movement of fluid environments and has been somewhat ignored and even devalued by historiography. In book II Newton turns away from the sky and looks down at earth. The study of that part of Principia allows us to revisit and deepen our knowledge of the newtonian concept of force, to discover and learn how to use the concept of pressure, and to clarify the role of euclidean geometry. As for geometry, we have paid special attention to the different functions of figures. We have worked with several translations, primarily Marquise du Chatelet 1759's translation, and the more recent one by Cohen and Whitman. Our essential references are Blay, Cohen, De Gand, Janiak, Koyre, McMullin, Smith and Westfall.

A simulação numérica de escoamentos de fluidos em uma grande variedade de aplicações requer a utilização de técnicas numéricas de alta eficência e recursos computacionais de alto desempenho. O objetivo deste trabalho é iniciar uma investigação de escoamentos de fluido durante o enchimento de compartimentos de reservatórios. Uma abordagem inicial foi tratar problemas de escoamento em um canal, rebuscando a geometria do domínio para contemplar problemas mais complexos. Este trabalho apresenta o desenvolvimento e os resultados obtidos de um método numérico para simulação de escoamento de fluido incompressível em um domínio tridimensional, onde as equações de Navier-Stokes são desenvolvidas em uma formulação euleriana e discretizadas pelo método de elementos finitos. Os termos convectivos destas equações foram tratados pelo método semi-lagrangeano e o método de Galerkin foi utilizado para discretização espacial, um método baseado em decomposição LU foi utilizado para desacoplar as componentes de velocidade e pressão, sendo esta última calculada utilizando-se uma aproximação hidrostática. O domínio tridimensional foi representado por uma malha manipulada por uma estrutura de dados topológica, formada por células que definem elementos prismáticos lineares. Foram realizados experimentos sob várias alterações na geometria do domínio e também sob diferentes condições iniciais. Os resultados mostraram uma boa aproximação do método, quando analisado comparativamente a uma solução analítica / The numerical simulation of fluid flow over many applications require the use of numerical techniques of high efficiency and demand high computational power. This work aims at initiating an investigation about fluid flows while filling reservoirs. The initial approach was to deal with fluid flows in a retangular duct, as increasing the complexity of its geometry in order to model more complex cases. This document describes the development of a numerical method for the simulation of incompressible fluid flow over a threedimentional domain, where the Navier-Stokes equations were written under an Eulerian formulation and discretized by the Finite Elements Method. The semi-Lagrangean method was used to discretize the convective terms and the components of velocity and pressure were decoupled through the use of a method based on LU decomposition, where the final pressure was determined by using a hidrostatic aproximation. The threedimentional domain was represented by a mesh, manipulated by a topologic data structure, formed with cells that define linear prismatic elements. Many experiments were performed under different geometries of the domain and also under different initial conditions. The result showed a good approximation of the described method, when compared with an analitical solution

Este trabalho investiga o lugar da téchne no mundo antigo por meio dos instrumentos musicais, enquanto artefatos físicos e modelos matemáticos, geométricos e mecânicos. A escassez de informações sobre as técnicas de construção dos instrumentos leva a examinar outras atividades artesanais, especialmente aquelas ligadas à carpintaria e ao trabalho com metais. O exame da natureza do poder encantatório da música e sua relação com os instrumentos será realizado por meio da abordagem de figuras como as musas e os daimónes, e também da organização concebida pelos filósofos no período clássico. Apesar do lugar de inferioridade que importantes pensadores conferiram aos artesãos, evidências mostram que a téchne dos artífices marcou profundamente o pensamento grego. No que diz respeito à música, o papel do luthier foi fundamental na medida em que proporcionou o substrato material para desenvolvimentos na linguagem musical. Além dos artefatos, os modelos matemáticos, geométricos e mecânicos da música também nasceram nas oficinas. Ao serem dominados pelos músicos, tais rtefatos e modelos serão igualmente responsáveis por grandes transformações musicais. / This work investigates the Greek notion of téchne in the ancient world through its musical instruments, in the form of physical artifacts and mathematical, geometrical and mechanical models. Because of the lack of information about ancient lutherie, it examines other forms of craftsmanship, like carpentry and metallurgy. The inquire into the nature of the musical powers of music, and its relation to musical instruments, will be done by the examination of characters like muses and daimónes, and also of the organization models of the classical philosophers. Despite the inferior place that great philosophers give to the technicians, this study sustains that they had deeply influenced the Greek thought. Regarding music, its possible to say that the luthiers role was fundamental because the material foundation conducted developments in the musical language. Besides the artifacts, the mathematical, geometrical and mechanical musical models were born in the workshops. Artifacts and models, mastered by the musicians, will be equally responsible for the musical developments.

Em detrimento à mecânica dos solos clássica, a mecânica dos solos não saturados ainda é pouco desenvolvida. Com o intuito de contribuir para essa área, é apresentado o presente trabalho. Utilizando amostras de solo de três horizontes que compõem o perfil da Formação Guabirotuba e a técnica de translação dos eixos, através do método da placa de pressão, foram determinadas as curvas características de secagem. Os dados foram ajustados às equações propostas pela literatura através do software SciDavis, na intenção de determinar qual das equações melhor descreve o material analisado. A equação que melhor descreveu os dados experimentais foi a proposta por Fredlund e Xing (1994) para os três horizontes estudados. Por fim, são propostas duas novas equações que apresentam resultados relevantes para o solo local e pressões inferiores a 1000kPa, sendo que uma delas, nessas condições, apresentou resultados melhores do que a equação proposta por Fredlund e Xing (1994). / Compared to the classic soil mechanics, the unsaturated soil mechanics still not very advanced. This work is presented intending to help the development of this area. Using samples of soils of three different horizons of the Guabirotuba formation, through the axis translation technique, with the pressure plate method, the drying soil-water characteristic curves was determined. The data was then be compared to the equations proposed by the literature, using the SciDavis software, to define which best describe the studied material. The best fitting curve for the experimental data was the curve that used the equation proposed by Fredlund and Xing (1994) for the three horizons. At the end, two new equations are proposed. These equations show relevant results for the local soil and suctions under 1000kPa. Under this conditions one of the proposed equations reach a better result than the one proposed by Fredlund e Xing (1994).

Em detrimento à mecânica dos solos clássica, a mecânica dos solos não saturados ainda é pouco desenvolvida. Com o intuito de contribuir para essa área, é apresentado o presente trabalho. Utilizando amostras de solo de três horizontes que compõem o perfil da Formação Guabirotuba e a técnica de translação dos eixos, através do método da placa de pressão, foram determinadas as curvas características de secagem. Os dados foram ajustados às equações propostas pela literatura através do software SciDavis, na intenção de determinar qual das equações melhor descreve o material analisado. A equação que melhor descreveu os dados experimentais foi a proposta por Fredlund e Xing (1994) para os três horizontes estudados. Por fim, são propostas duas novas equações que apresentam resultados relevantes para o solo local e pressões inferiores a 1000kPa, sendo que uma delas, nessas condições, apresentou resultados melhores do que a equação proposta por Fredlund e Xing (1994). / Compared to the classic soil mechanics, the unsaturated soil mechanics still not very advanced. This work is presented intending to help the development of this area. Using samples of soils of three different horizons of the Guabirotuba formation, through the axis translation technique, with the pressure plate method, the drying soil-water characteristic curves was determined. The data was then be compared to the equations proposed by the literature, using the SciDavis software, to define which best describe the studied material. The best fitting curve for the experimental data was the curve that used the equation proposed by Fredlund and Xing (1994) for the three horizons. At the end, two new equations are proposed. These equations show relevant results for the local soil and suctions under 1000kPa. Under this conditions one of the proposed equations reach a better result than the one proposed by Fredlund e Xing (1994).

Este trabalho investiga o lugar da téchne no mundo antigo por meio dos instrumentos musicais, enquanto artefatos físicos e modelos matemáticos, geométricos e mecânicos. A escassez de informações sobre as técnicas de construção dos instrumentos leva a examinar outras atividades artesanais, especialmente aquelas ligadas à carpintaria e ao trabalho com metais. O exame da natureza do poder encantatório da música e sua relação com os instrumentos será realizado por meio da abordagem de figuras como as musas e os daimónes, e também da organização concebida pelos filósofos no período clássico. Apesar do lugar de inferioridade que importantes pensadores conferiram aos artesãos, evidências mostram que a téchne dos artífices marcou profundamente o pensamento grego. No que diz respeito à música, o papel do luthier foi fundamental na medida em que proporcionou o substrato material para desenvolvimentos na linguagem musical. Além dos artefatos, os modelos matemáticos, geométricos e mecânicos da música também nasceram nas oficinas. Ao serem dominados pelos músicos, tais rtefatos e modelos serão igualmente responsáveis por grandes transformações musicais. / This work investigates the Greek notion of téchne in the ancient world through its musical instruments, in the form of physical artifacts and mathematical, geometrical and mechanical models. Because of the lack of information about ancient lutherie, it examines other forms of craftsmanship, like carpentry and metallurgy. The inquire into the nature of the musical powers of music, and its relation to musical instruments, will be done by the examination of characters like muses and daimónes, and also of the organization models of the classical philosophers. Despite the inferior place that great philosophers give to the technicians, this study sustains that they had deeply influenced the Greek thought. Regarding music, its possible to say that the luthiers role was fundamental because the material foundation conducted developments in the musical language. Besides the artifacts, the mathematical, geometrical and mechanical musical models were born in the workshops. Artifacts and models, mastered by the musicians, will be equally responsible for the musical developments.

Sélectionner des traitements de surface pour l’industrie nécessite de prendre en compte : les propriétés à conférer au substrat, la nature et la géométrie de celui-ci et les caractéristiques du milieu extérieur. Certaines combinaisons de ces paramètres rendent difficile la sélection d’un traitement unique, d’où le recours à des multitraitements de surface. Dès lors, se posent les questions suivantes : - Utiliser des multitraitements de surface peut se faire en scindant les différentes requêtes en sous-ensembles, de manière à ce que chaque traitement réponde à l’un d’eux. Dans quel ordre ces requêtes doivent-elles être introduites par rapport au substrat ? - Comment sélectionner les traitements de surface répondant à chaque requête individuelle ? - Comment classer des multitraitements en termes d’adéquation au problème posé ? Dans ce travail, les première et troisième questions sont abordées, en explorant les requêtes concernant habituellement les dispositifs de moulage de l’aluminium : - Résistance aux contraintes d’origine thermique. - Résistance à la corrosion par les métaux fondus. - Résistance au frottement. L’analyse de la bibliographie relative aux traitements de surface utilisés dans ces systèmes a été analysée et des « architectures »-types ont été identifiées (chapitre 3). On prévoit, par exemple, un traitement conférant la résistance à la fatigue superficielle, ainsi qu’un revêtement étanche et résistant à l’aluminium fondu. Une barrière thermique est parfois préconisée. Pour chacune des architectures, des traitements de surface individuels peuvent être sélectionnés. Un « facteur de performance » permettant de classer les solutions par rapport au problème de la fatigue thermique a été construit (chapitre 4) et discuté dans deux situations : - Lorsqu’un revêtement est présent, et que les contraintes d’origine thermique (différence de dilatation thermique couche-substrat) menacent de le rompre lors de l’immersion dans un milieu corrosif à haute température. Des essais de corrosion dans de l’aluminium fondu ont été réalisés sur un acier revêtu par du nitrure de chrome dopé à l’aluminium, synthétisé par déposition physique en phase vapeur (chapitre 5 – collaboration : Inasmet). - Lorsque des variations thermiques rapides menacent de rompre le substrat et la (les) couches. Des essais de fatigue thermique ont été réalisés sur de l’acier à outils pour travail à chaud non traité, boruré ou recouvert d’un multitraitements (zircone yttriée / NiCrAlY / boruration / acier). Le revêtement en zircone yttriée a été obtenu par projection par plasma. L’essai de fatigue thermique a été modélisé et le facteur de performance, discuté (chapitre 6). Au chapitre 7, les architectures-types ont été introduites dans une méthodologie de sélection des multi-traitements de surface, qui a été appliquée dans deux cas : - Celui des moules de fonderie, devant résister à la fatigue thermique et à la corrosion par l’aluminium fondu. Le facteur de performance a été extrapolé à d’autres situations qu’aux chapitres 5 et 6. Les solutions habituellement proposées pour résoudre ce problème sont retrouvées. - Celui de deux pièces en acier frottant l’une contre l’autre en présence d’aluminium fondu. To select surface treatments, one must account for the required functional properties, the substrate features and the solicitations the substrate must endure. Certain combinations of these parameters make it difficult to select a single surface treatment, a reason why several successive treatments are preferred. To select them, one needs to determine: - How to divide the several requests into groups and how to stack up these groups from the substrate to the outer surface, so that each treatment deals with one specific group of requests/properties. - How to select individual layers for each group of properties. - How to rank the multi-treatments in terms of relevance for a given application. In this work, one tries to answer the first and the third questions, by studying the case of aluminium foundry, in which the industrial devices frequently face the following solicitations: - Thermal stress (thermal fatigue, thermal expansion mismatch). - Presence of corrosive molten metal. - Sliding wear. In the literature, several “standard” architectures are proposed (chapter 3), like a diffusion layer reducing superficial fatigue plus a corrosion barrier layer. A thermal barrier coating is also sometimes proposed. For each of these architectures, one can select individual treatments. To rank them, one devised a “performance index” for thermal stress (chap.4), which is discussed for two cases: - For large differences between layer and substrate thermal expansion coefficients, when both are put into contact with a high temperature corrosive medium, the layer may be damaged. One discusses this case by examining the corrosion caused by molten aluminium for a steel substrate coated by anticorrosive chromium nitride doped with aluminium. The layer is produced by physical vapour deposition (chap. 5 – cooperation: Inasmet). - Repeated fast surface temperature transients can also damage the substrate and/or the layer by thermal fatigue. One conducted thermal fatigue tests with samples of hot work tool steel, respectively untreated, simply borided and protected by a multilayer. In the last case, top coat is yttria stabilised zirconia, followed by a nickel superalloy and then a borided layer (undercoat). One synthesized the zirconia coating by plasma spray and one modelled the thermal fatigue (chap. 6). In chap. 7, architectures from chap. 2 are introduced in a multi-treatment selection routine, which is applied in two cases: - Foundry moulds for molten aluminium, withstanding both thermal fatigue and corrosion. The devised performance index is extrapolated beyond the tests of chap. 5 and 6 to treatments for this industrial application, thereby quantifying their respective merits. - A foundry device exposed to molten metal and sliding wear.

Sélectionner des traitements de surface pour l’industrie nécessite de prendre en compte :les propriétés à conférer au substrat, la nature et la géométrie de celui-ci et les caractéristiques du milieu extérieur. Certaines combinaisons de ces paramètres rendent difficile la sélection d’un traitement unique, d’où le recours à des multitraitements de surface. Dès lors, se posent les questions suivantes :<p>- Utiliser des multitraitements de surface peut se faire en scindant les différentes requêtes en sous-ensembles, de manière à ce que chaque traitement réponde à l’un d’eux. Dans quel ordre ces requêtes doivent-elles être introduites par rapport au substrat ?<p>- Comment sélectionner les traitements de surface répondant à chaque requête individuelle ?<p>- Comment classer des multitraitements en termes d’adéquation au problème posé ?<p>Dans ce travail, les première et troisième questions sont abordées, en explorant les requêtes concernant habituellement les dispositifs de moulage de l’aluminium :<p>- Résistance aux contraintes d’origine thermique.<p>- Résistance à la corrosion par les métaux fondus.<p>- Résistance au frottement.<p>L’analyse de la bibliographie relative aux traitements de surface utilisés dans ces systèmes a été analysée et des « architectures »-types ont été identifiées (chapitre 3). On prévoit, par exemple, un traitement conférant la résistance à la fatigue superficielle, ainsi qu’un revêtement étanche et résistant à l’aluminium fondu. Une barrière thermique est parfois préconisée.<p>Pour chacune des architectures, des traitements de surface individuels peuvent être sélectionnés. Un « facteur de performance » permettant de classer les solutions par rapport au problème de la fatigue thermique a été construit (chapitre 4) et discuté dans deux situations :<p>- Lorsqu’un revêtement est présent, et que les contraintes d’origine thermique (différence de dilatation thermique couche-substrat) menacent de le rompre lors de l’immersion dans un milieu corrosif à haute température. Des essais de corrosion dans de l’aluminium fondu ont été réalisés sur un acier revêtu par du nitrure de chrome dopé à l’aluminium, synthétisé par déposition physique en phase vapeur (chapitre 5 – collaboration :Inasmet).<p>- Lorsque des variations thermiques rapides menacent de rompre le substrat et la (les) couches. Des essais de fatigue thermique ont été réalisés sur de l’acier à outils pour travail à chaud non traité, boruré ou recouvert d’un multitraitements (zircone yttriée / NiCrAlY / boruration / acier). Le revêtement en zircone yttriée a été obtenu par projection par plasma. L’essai de fatigue thermique a été modélisé et le facteur de performance, discuté (chapitre 6).<p>Au chapitre 7, les architectures-types ont été introduites dans une méthodologie de sélection des multi-traitements de surface, qui a été appliquée dans deux cas :<p>- Celui des moules de fonderie, devant résister à la fatigue thermique et à la corrosion par l’aluminium fondu. Le facteur de performance a été extrapolé à d’autres situations qu’aux chapitres 5 et 6. Les solutions habituellement proposées pour résoudre ce problème sont retrouvées.<p>- Celui de deux pièces en acier frottant l’une contre l’autre en présence d’aluminium fondu.<p><p>To select surface treatments, one must account for the required functional properties, the substrate features and the solicitations the substrate must endure. Certain combinations of these parameters make it difficult to select a single surface treatment, a reason why several successive treatments are preferred. To select them, one needs to determine:<p>- How to divide the several requests into groups and how to stack up these groups from the substrate to the outer surface, so that each treatment deals with one specific group of requests/properties.<p>- How to select individual layers for each group of properties.<p>- How to rank the multi-treatments in terms of relevance for a given application.<p>In this work, one tries to answer the first and the third questions, by studying the case of aluminium foundry, in which the industrial devices frequently face the following solicitations:<p>- Thermal stress (thermal fatigue, thermal expansion mismatch).<p>- Presence of corrosive molten metal.<p>- Sliding wear.<p>In the literature, several “standard” architectures are proposed (chapter 3), like a diffusion layer reducing superficial fatigue plus a corrosion barrier layer. A thermal barrier coating is also sometimes proposed.<p>For each of these architectures, one can select individual treatments. To rank them, one devised a “performance index” for thermal stress (chap.4), which is discussed for two cases:<p>- For large differences between layer and substrate thermal expansion coefficients, when both are put into contact with a high temperature corrosive medium, the layer may be damaged. One discusses this case by examining the corrosion caused by molten aluminium for a steel substrate coated by anticorrosive chromium nitride doped with aluminium. The layer is produced by physical vapour deposition (chap. 5 – cooperation: Inasmet).<p>- Repeated fast surface temperature transients can also damage the substrate and/or the layer by thermal fatigue. One conducted thermal fatigue tests with samples of hot work tool steel, respectively untreated, simply borided and protected by a multilayer. In the last case, top coat is yttria stabilised zirconia, followed by a nickel superalloy and then a borided layer (undercoat). One synthesized the zirconia coating by plasma spray and one modelled the thermal fatigue (chap. 6).<p>In chap. 7, architectures from chap. 2 are introduced in a multi-treatment selection routine, which is applied in two cases:<p>- Foundry moulds for molten aluminium, withstanding both thermal fatigue and corrosion. The devised performance index is extrapolated beyond the tests of chap. 5 and 6 to treatments for this industrial application, thereby quantifying their respective merits.<p>- A foundry device exposed to molten metal and sliding wear.<p><p> / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished