Le calcul des efforts normaux et tangents est important pour la modélisation dynamique du système véhicule-voie en ferroviaire. Pour déterminer les forces tangentielles au contact roue-rail, les coefficients de Kalker sont utilisés dans la plupart des codes de dynamique ferroviaire, pour les différents modèles de contact. Ces coefficients ont été mesurés sur banc à plusieurs reprises dans les années 80. Une synthèse de ces travaux, réalisée par Hobbs, montre que certaines de ces mesures présentent une baisse pouvant atteindre 50% par rapport à la théorie de Kalker. L’objet de cette thèse est d’identifier d’abord les véritables causes de la dispersion constatée entre les différentes mesures, généralement attribuée à la contamination de la surface, puis de développer un modèle numérique capable d’en tenir compte.La démarche numérique proposée est sur deux volets. Dans le premier volet, une méthode itérative directe par éléments de frontière basée sur les intégrales de surface de Boussinesq-Cerruti est réécrite pour l’étude du contact normal et glissant entre deux corps élastiques, puis étendue pour la résolution du problème de contact roulant. Appliquée avec succès au contact roue-rail non-Hertzien, cette méthode est un outil prometteur pour l’étude des paramètres influençant les coefficients de Kalker qui allie à la fois la précision et la rapidité.Dans le deuxième volet, le problème du contact roue-rail élastique est résolu à l’aide de la méthode des éléments finis en utilisant les schémas d’intégration temporelle explicite et implicite. La solution élastique est comparée avec le logiciel de référence CONTACT. Le modèle par éléments finis 3D développé a permis de prendre en compte d’une part le comportement élasto-plastique des corps en contact et d’autre part l’existence d’une couche de troisième corps sur l’interface du contact roue-rail. Ainsi, en fin de cette étude, une correction aux coefficients de Kalker est estimée à partir d’un modèle qui prend mieux en compte la réalité physique du contact roue-rail.Afin d’évaluer l’influence de cette correction sur la vitesse critique du véhicule ferroviaire, une étude de stabilité est réalisée avec le code de dynamique ferroviaire VOCO dans lequel des facteurs de réduction des coefficients de Kalker ont été appliqués / The calculation of normal and tangential forces is important for the dynamic modeling of the railway vehicle-track interaction. To determine the tangential forces at the wheel-rail contact level, the Kalker’s coefficients of stiffness are used in most of computer codes for different contact models. These coefficients were measured on bench several times in the 80s. A survey of these works, conducted by Hobbs, shows a decrease of up to 50 % in value compared to Kalker’s theory. The aim of this thesis is first to identify the real causes of the dispersion observed between the various measurements, usually attributed to the surface contamination, then to develop a model taking into account some of them.The numerical modeling of the wheel-rail contact is presented in two parts. In the first part, a direct boundary element method based on Boussinesq-Cerruti solution is developed to study the normal and sliding contact between two elastic bodies, and then extended to the resolution of rolling contact problem. Successfully applied to the wheel-rail contact for non-Hertzian situation, this method is a promising tool for studying the parameters influencing Kalker’s coefficients which combines both precision and speed.In the second part, a finite element model for rolling contact between wheel and rail is developed to study the normal and the tangential contact problems using the explicit and the implicit integration schemes. The elastic solution is compared with the solution of the CONTACT software. The three-dimensional finite element model takes into account the elastoplastic behavior of the bodies in contact as well as the existence of a third body layer at the interface between the wheel and the rail. Finally, a correction of Kalker’s coefficients is estimated from the results of the numerical simulations.To study the impact of this correction on the critical speed of the vehicle, a stability analysis is performed using the multibody dynamics software VOCO in which the reduced factors of Kalker’s coefficients are considered

Road vehicle tyres, railway wheels and ball bearings all generate rolling contact forces which are transferred within a finite area of contact between the rolling element and the substrate. Either it is visible or not for the human eye, a certain degree of roughness is always present on the contacting surfaces and it influences the generation of both vertical and lateral contactforces. The purpose of this investigation is to enhance the understanding and modelling of the influence from small-scale surface roughness on the generation of rolling contact forces. To this end, a computationally efficient method to include roughness-induced contact nonlinearities in the dynamic modelling of rolling contacts is proposed. The method is implemented in a time domain model for vertical wheel–track interaction to model rolling-induced rail vibrations, showing good agreement with measurements. Furthermore, a test rig is developed and used for the investigation of tyre–road rolling contact forces. Detailed studies are performed on the influence of substrate roughness on the resulting contact forces for a tyre tread block which is rolling at different operating conditions. The choice of substrate as well as the rolling velocity and the slip ratio is observed to have significant influence on the resulting friction coefficient. For high slip ratios, stick–slip oscillations appear, exhibiting frequency content which is largely dependent on the choice of substrate. The outcomes of this study can potentially be used to improve future tyre–road contacts with respect to wear, traction and noise generation. / <p>QC 20161013</p> / Centre for Eco2 Vehicle Design

Les rails de Chemins de fer sont soumis à de la fatigue de roulement due au passage répété des roues de train, ce qui induit différents types de fissures, telles que les Squats. Ces fissures sont soumises à un chargement de mode mixte non-proportionnel I + II + III, dans des proportions variables le long du front, avec des phases de compression, ce qui rend la prédiction de leur trajet et de leur vitesse délicate.La cinétique de fissuration en mode I a été déterminée dans de l’acier à rail R260, pour des rapports R positifs et négatifs, ainsi que la cinétique de mode mixte II & III corrigée des effets de frottement. Les Facteurs d’Intensité des Contraintes (FICs) effectifs ont été obtenus à partir des sauts de déplacements dans le plan et hors plan mesurés en surface, le long de la fissure. De ces lois cinétiques, il ressort que ni le mode I seul, ni les modes de cisaillement seuls ne peuvent expliquer la fissuration des rails. C’est donc la combinaison des trois modes, suivant des trajets de chargement complexes, qui en est responsable.Des essais de fissuration par fatigue en mode mixte non-proportionnel I + II ont ensuite été réalisés, suivant des trajets de chargement représentatifs de ceux subis par les squats. La stéréo corrélation d’images a été utilisée pour obtenir les champs de déplacements en pointe de fissure. Les méthodes classiques de mesure des FICs à partir de champs de déplacements n’étant pas adaptées, du fait des efforts de contact et frottement entre les lèvres de fissure, de nouvelles méthodes ont été développées. Les trajets et vitesses de fissuration ont été étudiés au regard de ces FICs effectifs. Il apparait que la prédiction du trajet à partir du critère de la contrainte tangentielle maximale n’est pas très fiable, mais peut être améliorée par la prise en compte de la plasticité en pointe de fissure ainsi que des efforts de contact/frottement entre les lèvres de fissure. Les vitesses de propagation obtenues se corrélèrent bien avec une combinaison des trois FICs effectifs dans une loi de type « Paris ».De ces essais, il ressort que du fait de la rugosité de la fissure, l’enchevêtrement d’aspérités et le frottement réduisent considérablement les FICs effectifs. Et cela même en l’absence de compression normale, ce qui ne peut être modélisé par une simple loi de Coulomb. De plus, l’usure des lèvres de fissure a aussi une forte influence sur les FICs effectifs. Le challenge pour les applications structurelles est donc non seulement de choisir le critère de bifurcation et la loi cinétique les plus appropriés, mais également de prendre en compte la rugosité et l’usure des lèvres de fissure, afin d’estimer correctement les FICs effectifs à utiliser dans ces modèles.Pour les applications industrielles, une approche d’ingénieur, simplifiée, a été proposée afin de prendre en compte le frottement induit par la rugosité dans l’estimation des trajets de chargements effectifs à partir des trajets nominaux. Cette approche a été validée sur des essais de mode mixte séquentiel I + II & III. / Rails are submitted to Rolling Contact Fatigue due to repeated passages of train wheels, which induces several types of cracks, such as Squat-type cracks. Those cracks undergo non-proportional mixed-mode I + II + III loading, including compression phases, in variable proportions along the crack front, making the prediction of their paths and growth rates a challenge.Mode I crack growth kinetics, for positive and negative R ratios, were first determined in R260 steel, as well as friction-corrected crack growth kinetics for fully-reversed combined mode II and III. The effective Stress Intensity Factors (SIFs) were deduced from the measured in-plane and out-of-plane crack face sliding displacements. From those kinetic laws, it was deduced that neither pure mode I, nor pure shear mode loadings can explain the crack growth rates observed in rails. A combination of those three loading modes, according to complex loading paths had thus to be prospected.Non-proportional mixed-mode I + II fatigue crack growth tests were then performed, following representative loading paths. Stereo digital image correlation was used to measure the near-tip displacement field. Post-treatment methods generally used to deduce the effective SIFs from these fields were inappropriate because of contact and friction stresses along the crack face. New methods were thus developed. The crack paths and growth rates were analyzed, using the effective SIFs. Crack path prediction by the maximum tangential stress criterion was found not to be very reliable, but substantially improved when crack tip plasticity and the presence of contact and friction stresses along the crack faces were taken into account. The measured crack growth rates correlated well with a combination of the three effective SIFs in a Paris-type law.From these experiments, it appears that due to crack face roughness, asperities interlocking and friction substantially reduce the effective SIFs, even without any normal compression, which cannot be captured by a simple Coulomb’s law. Besides, crack faces wear also has a large influence on the effective SIFs. The challenge for structural applications is thus not only to choose the most appropriate bifurcation criterion and crack growth law, but also to take crack face roughness and wear into account, in order to estimate the correct effective SIFS to use in these models.For industrial applications, a simple engineering approach was proposed to integrate roughness-induced friction in the estimation of the effective loading path from the nominal one. This approach was validated on sequential mixed-mode I + II & III experiments.

This master thesis deals with influence of topography of friction surfaces on rolling contact fatigue. This influence is examined by newly reconstructed R-MAT station, whose reconstruction and fully report about it, is part of this master thesis. Influence is examined on area with higher surface's roughness which it wasn't examined before. Further research is made on area of surfaces with topographical modification with higher surface's roughness.

Boundary conditions in the roll gap play an important role in modelling of rolling processes. In the roll gap we can observe the following: changes of rolling pressure, changes of relative velocity, influences of oxides and lubrication, etc. When taking into account all conditions mentioned above the determination of the boundary conditions is not trivial and extensive measurements are necessary. Therefore, this thesis is dealing with design of temperature and force sensors specified for the determination of friction coefficient and heat transfer coefficient in contact. The temperature sensor with an installed thermocouple measures subsurface temperature for a given depth; and then the inverse heat conduction task is used to compute temperature and heat flux on the surface. Several temperature sensors were designed and used for measuring in pilot mill and industrial rolling mill as well. The thermal responses of different sensors were compared in the numerical simulations. The inverse calculations were tested for various rolling conditions. A durability of the sensors was also studied in industrial rolling conditions. The contact stresses in the roll gap were measured by a pin, which was in direct contact with the rolled material. The forces on the top of the pin were measured by a three-axes piezoelectric force transducer and recalculated to the contact stress and friction coefficient. The sensor was implemented in a work roll and tested when rolling aluminium and steel slab for different rolling conditions. The results were compared with the integrative force sensor ROLLSURF.

Obtaining an enhanced lifespan for mechanical transmissions has become a challenge in diverse application sectors. Micropitting as a contact fatigue mechanism has seriously jeopardized the well-being of rolling-sliding elements present for instance in gearboxes. Additivation through copper nanoadditives has demonstrated promising results in preventing contact fatigue. There is a need to assess the influence of copper nanoadditives on micropitting and mild wear before contemplating employing them in real transmission gearboxes. Consequently, this research work aims to acquire knowledge of the tribological behavior of rolling-sliding contacts additivated with a copper nanoadditive, emphasizing the influence of two different copper nanoadditive concentrations (0.3% and 3%) on wear and micropitting as failure mechanisms. Tests were performed using a micropitting test rig. Micropitting and wear were analyzed at different slide-to-roll ratios (1%, 5%, and 30%), different load conditions (1.5 GPa and 2.5 GPa), and different temperatures (60 °C and 100 °C), for all versions of the studied lubricant. There was no change in friction behavior between the versions of the oil additivated with the copper nanoadditive and its original version. Furthermore, it was found a reduction of micropitting for the 3% version of the studied oil in some operating conditions, and a reduction of the average wear volume for this same concentration in all studied operating conditions. On the other hand, it was found that the 0.3% version of the studied oil promoted wear with an increasing slide-to-roll ratio when compared with the original version of the studied oil. A higher reduction in wear was obtained for the 0.3% version of the studied oil with an increasing temperature when compared with the 3% version. These results indicate that copper nanoadditives exhibit the potential to reduce micropitting in non-conformal rolling-sliding contacts typically found in gears and rolling-element bearings.

No description available.

<p dir="ltr">Fretting wear occurs when two contacting bodies under load are subjected to small amplitude oscillatory motion. Depending on the applied normal load, displacement amplitude, coefficient of friction and resulting shear force, two types of fretting wear regimes exist – (i) partial slip and (ii) gross slip. At displacement amplitudes higher than gross slip condition, sliding wear regime prevails. Fretting wear becomes dominant in machine components subject to vibrations such as bearings, dovetail joints, etc. whereas sliding wear is observed in brakes, piston-ring applications, etc. The work in this dissertation primarily focuses on characterizing the material response of various machine components subjected to fretting and sliding wear regimes.</p><p dir="ltr">At first, the friction and fretting wear behavior of inlet ring and spring clip components used in land-based gas turbines was investigated at elevated (<a href="" target="_blank">500°C</a>) temperature. In order to achieve this objective, a novel high-temperature fretting wear apparatus was designed and developed to simulate the conditions existing in a gas turbine. The test apparatus was used to investigate fretting wear of atmospheric plasma sprayed (APS) Cr₃C₂-NiCr (25% wt.), high-velocity oxy-fuel (HVOF) sprayed Cr₃C₂-NiCr (25% wt.), HVOF sprayed T-800 and APS sprayed PS400 coated inlet rings against HVOF-sprayed Cr₃C₂-NiCr (25% wt.) coated spring clip. The PS400 coated inlet rings demonstrated a significant reduction in friction and wear. A finite element (FE) framework was also developed to simulate fretting wear in HVOF-sprayed Cr₃C₂-NiCr composite cermet coating. The material microstructure was modelled using Voronoi tessellations with a log-normal distribution of grain size. Moreover, the individual material phases in the coating were randomly assigned to resemble the microstructure from an actual SEM micrograph. A damage mechanics based cohesive zone model with grain deletion algorithm was used to simulate debonding of the ceramic carbide phase from the matrix and resulting degradation from repeated fretting cycles. The specific wear rate obtained from the model for the existing material microstructure was benchmarked against experiments. Novel material microstructures were also modeled and demonstrated to show less scatter in wear rate.</p><p dir="ltr">Following, a three-dimensional (3D) continuum damage mechanics (CDM) FE model was developed to investigate the effects of fretting wear on rolling contact fatigue (RCF) of bearing steels. In order to determine the fretting scar geometry, a 3D arbitrary Lagrangian-Eulerian (ALE) adaptive mesh (AM) FE model was developed to simulate fretting wear between two elastic bodies for different initially pristine fretting pressures (0.5, 0.75 and 1 GPa) and friction coefficients (0.15, 0.175 and 0.25) resulting in stick zone to contact width ratios, c/a = 0.35, 0.55 and 0.75. The resulting wear profiles were subjected to various initially pristine RCF pressures (1, 2.2 and 3.4 GPa). The pressure profiles for RCF were determined by moving the contact over the fretted wear profiles in 21 steps. These pressure profiles were then used in the CDM-FE model to predict the RCF life of fretted surfaces. The results indicate that increased fretting pressure leads to more wear on the surface, thereby reducing RCF life. As the RCF pressure increases (P_RCF ≥ 2.2 GPa), the effect of fretting on RCF life decreases for all fretting pressures and c/a values, indicating that life is primarily governed by the RCF pressure. The results from CDM-FE model were used to develop a life equation for evaluating the L₁₀ life of fretted M-50 bearing steel for the range of tested conditions.</p><p dir="ltr">Lastly, the sliding wear characteristics of pitch and poly-acrylonitrile based carbon-carbon (C/C) composites were investigated in air and nitrogen environment by designing and developing a disc brake test rig. It was found that the temperature of the disc, the surrounding environment, the supplied energy flux as well as the type of composite play a critical role in determining whether C/C composites operate in normal wear or dusting wear regime. Further analysis of wear mechanisms revealed interface and matrix cracking with fiber breakage from tests in air environment, whereas in nitrogen environment, particulate and layered debris played a prominent role.</p>

Les pieds d’aubes de soufflantes de turboréacteurs étant soumis à des sollicitations de type fretting, l’introduction de matériaux composites dans la nouvelle génération de moteur d’avion a rendu nécessaire le développement d’outils permettant de modéliser le contact entre des matériaux hétérogènes. En particulier, le comportement tribologique et l’endommagement de ces matériaux est encore mal compris. La mise en place de méthodes numériques capable de prédire les endommagements dans le contact permettrait de mieux prédire la durée de vie des pièces en service et de garantir la sécurité des passagers. Cette thèse porte sur le développement de méthodes semi-analytiques pour la modélisation de l’endommagement dans des conditions de fretting et de roulement. / The blade/disk interface in turbofan is subject to fretting loading. Fan blade of the new generation of aircraft engines are made of woven composite materials. The introduction of these new kind of materials create the need for a new numerical tool able to simulate the contact between heterogeneous materials. The tribological behavior and the damage mechanism associated with these kind of material are still not well understood. The developpment of new numerical tool able to model the damage in the contact area would allow to predict the life of engines parts and to guarantee the security of passengers. This PhD is about the developpment of semi-analytical methods for modeling the damage in fretting and rolling contact conditions with some applications to heterogeneous materials.

La durée de vie des pièces mécaniques en contact est fortement affectée par la présence d'hétérogénéités dans le matériau, comme des renforts (fibres, particules), des précipités, des porosités, ou encore des fissures. Des hétérogénéités dures et de formes complexes peuvent créer des surcontraintes locales, initiatrices de fissures par fatigue à proximité de la surface de contact. Une analyse quantitative des surcontraintes créées par les hétérogénéités est nécessaire à la compréhension des mécanismes d'endommagement. Cette étude s'applique à des roulements de ligne d'arbre qui font partie des éléments critiques de moteurs en aéronautique. Elle vise à déterminer précisément la distribution du champ de pression sur l'aire effective de contact et à prédire le profil et l'évolution des champs de contraintes/déformations à chaque passage de la charge sur un volume élémentaire représentatif prenant en compte le gradient de dureté, la présence de carbures et l'existence des contraintes initiales d'origine thermochimique. Une partie de l’étude est consacrée au développement d’un solveur du problème de contact roulant élasto-plastique avec présence d’hétérogénéité par les méthodes semi analytiques assurant un excellent gain en temps et ressources de calculs. Ensuite, un algorithme homogénéisation a été conçu pour analyser le comportement effectif d’un massif élasto-plastique hétérogène sous indentation. Enfin une partie expérimentale est dédiée à la caractérisation microstructurale des aciers étudiés dans le but de déterminer leurs propriétés. Les analyses des résultats de cette étude concourent à soutenir que bien que les inclusions de particules non métalliques soient responsables de la haute résistance de ces matériaux, certaines d’entre elles (celles de longueur dépassant les dizaines de micromètre ou celles qui forment des chaines dans une direction particulière) deviennent, au cours des cycles de fatigue, les principales sources d’endommagement depuis l’échelle locale jusqu’à la rupture globale de la structure. / The lifetime of contacting mechanical parts is strongly affected by the presence of heterogeneities in their materials, such as reinforcements (fibers, particles), precipitates, porosities, or cracks. Hard heterogeneities having complex forms can create local overstress that initiating fatigue cracks near the contact surface. The presence of heterogeneities influences the physical and mechanical properties of the material at microscopic and macroscopic scales. A quantitative analysis of the over-stresses generated by heterogeneities is necessary to the comprehension of the damage mechanisms. The present study is applied to rolling bearings which are the critical elements of the aero-engine's mainshaft. The performance required for these bearings, led SKF Aerospace to introduce a new technology of hybrid bearing with ceramic rolling elements on high-strength steels having experienced a double surface treatment (carburizing followed by nitriding). The study aims to precisely determine the pressure field distribution on the effective contact area and to predict the profile and the evolution of the stress/strain fields at each loading cycle on a representative elementary volume that takes into account the gradient of hardness, the presence of carbides and the existence of an initial compressive stress from thermochemical origin. A major part of this study is devoted to develop a heterogeneous elastic-plastic rolling contact solver, by semi-analytical methods ensuring an excellent saving of calculation time and resources. Thereafter, a homogenization algorithm was built to analyze the effective behavior of a heterogeneous elastic-plastic half-space subjected to an indentation loading. Finally, an experimental part is dedicated to the microstructure characterization of the studied steels with intent to determine their properties. A description of the carbides behavior inside the matrix during micro-tensile tests was carried out under SEM in-situ observation. In the scheme of all analyses conducted in the present work, it can be argued that, although the heterogeneities (such as carbides or nitrides) are responsible for the high resistance of the studied materials, some of them (those whose length exceeds tens of micrometer or those which form stringers in a particular direction) become, over fatigue cycles, the main sources of damage, from their local scale up to the macroscopic failure of the structure.