Ce travail a pour objectifs de comprendre et de prédire les gauchissements de plaquettes en silicium durant le procédé de fabrication des composants électroniques de type PTIC. Ces gauchissements sont en partie responsables de plusieurs problèmes de productivité. Cette étude repose sur un couplage entre les calculs analytiques, la modélisation par élément finis et l’expérimentation. La caractérisation mécanique des films minces constituant l’empilement a été effectuée par des techniques spécifiques comme la nanoindentation complétée par des modélisations numériques. Les contraintes intrinsèques dans les films minces ont été déterminées en couplant des mesures de gauchissements des plaquettes et des calculs par éléments finis. Les valeurs du module d’Young et des contraintes intrinsèques obtenues constituent des variables d’entrée pour calculer les gauchissements de la plaquette par des approches analytiques et numériques. La complexité des structures (plaquettes avec des milliers de puces) a nécessité l’utilisation des modèles d’homogénéisation pour estimer numériquement les gauchissements. Les résultats obtenus ont permis de prédire les gauchissements à l’échelle des plaquettes dans le but d’optimiser les conditions de fabrication afin de minimiser les risques d’apparition des problèmes mécaniques. / The aim of this work is to understand and predict the warpage of silicon wafers during the fabrication process of PTIC microelectronic components. The warpages are partially responsible for several productivity problems. This study is done by coupling analytical calculation, finite element modeling and experimentation. The mechanical characterization of thin films constituting the multi-layered stack has been carried out by an experimental method nanoindentation with the help of a finite element model. The intrinsic stress in the thin films has been determined by coupling measurements of the wafer warpage and a finite element model. The obtained Young’s modulus and intrinsic stress are used to feed the database for calculating the wafer warpage by analytical and numerical approaches. The complexity of the structures (thousands of components in the wafer) required the use of homogenized models to calculate the wafer warpage. These results obtained allow the prediction of the wafer-level warpage in order to optimize the fabrication process flow and therefore reduce the risk of the mechanical problem.

L'objectif de cette thèse est de simuler l'histoire temporelle de la réponse d'un bâtiment de grande hauteur sous sollicitation sismique et de proposer des méthodologies simplifiées qui reproduisent correctement une telle réponse. Initialement, un modèle tridimensionnel par éléments finis est produit afin de valider sa fiabilité pour simuler le comportement réel du bâtiment pendant les mouvements du sol, enregistrés à l'aide d'accéléromètres. Il est proposé d'améliorer la précision du modèle numérique en imposant de multiples excitations, compte-tenu des effets de basculement et de la variabilité spatiale sur la sollicitation d'entrée. L'utilisation de fonctions de Green empiriques est proposée pour simuler la réponse sismique directement à partir d'enregistrements d'événements passés, sans avoir besoin de dessins de construction ni d'étalonnage des paramètres mécaniques. Une méthode de sommation stochastique, déjà utilisée pour prédire les mouvements du sol, est adoptée pour générer des signaux synthétiques à des hauteurs différentes du bâtiment, par extension du chemin de propagation des ondes du sol à la structure. Une représentation simplifiée du bâtiment comme une poutre homogène Timoshenko est proposée pour simuler la réponse sismique directement à partir des enregistrements des vibrations ambiantes. Des paramètres mécaniques équivalents sont identifiés à l'aide de l'interférométrie par déconvolution en termes de dispersion des ondes, de fréquences naturelles et de rapport de vitesse des ondes de cisaillement et de compression dans le milieu / The aim of this thesis is to simulate the time history response of a high rise building under seismic excitation and provide simplified methodologies that properly reproduce such response. Firstly, a detailed three-dimensional finite element model is produced to validate its reliability to simulate the real behavior of the building during ground motions, recorded using accelerometers. It is proposed to improve the accuracy of the numerical model by imposing multiple excitations, considering rocking effect and spatial variability on the input motion. The use of empirical Green's functions is proposed to simulate the seismic response directly from past event records, without the need of construction drawings and mechanical parameters calibration. A stochastic summation scheme, already used to predict ground motions, is adopted to generate synthetic signals at different heights of the building, extending the wave propagation path from the ground to the structure. A simplified representation of the building as a homogeneous Timoshenko beam is proposed to simulate the seismic response directly from ambient vibration records. Equivalent mechanical parameters are identified using deconvolution interferometry in terms of wave dispersion, natural frequencies and shear to compressional wave

The construction industry is moving towards an increasingly industrial production and one step towards this is to use prefabricated rebar cages. A new concept is being tested where tied rebar cages are produced on the construction site by industrial robots. The industrial robots produce the rebar cages based on a geometric model and when finished they are lifted to the casting site with the help of a crane. In order for this concept to become an efficient process, it must already be possible to evaluate the stability of the rebar cages in the early design phase to be able to efficiently determine whether it is possible to lift the rebar cages to the casting site after production. The scope of this thesis is to investigate what is required to create a numerical model with help of data from a geometric model in an efficient way in order to determine whether a rebar cage can be lifted. This thesis is limited to one specific rebar cage that has already been created in the CADprogram Tekla Structures by the contractor Skanska Sweden AB. The process of what is required when creating a numerical model with data from a geometric model is limited between the analysis software LUSAS Bridge and the CAD software Tekla Structures. To be able to determine what is required in order to create a numerical model with data from a geometric model in the analysis software LUSAS Bridge in an efficient way a survey was performed. The survey includes the necessary steps to create a numerical model of a tied rebar cage from a geometric model and the problems that occurs along the way to get an efficient process. In order to determine if the geometric model of the rebar cage is liftable a linear analysis was created in the analysis software LUSAS Bridge. The analysis was created with data from the geometric model created in Tekla Structures and with experimental results from a study where tied connection strength and stiffness were evaluated. The analysis was created to simulate a rebar cage for a bridge foundation in scale 1:2 that is lifted in four lifting points. The lifting points in this analysis is modeled as supports while the rebar cage is subjected to an acceleration force to simulate a lift. The analysis is performed in two parts, first when the tied connections have full stiffness capacity and the second part when the stiffness is decreased to be able to evaluate what happens to the stability of the rebar cage. In order to determine if the rebar cage is liftable two conditions are looked at, (1) stress in rebars and (2) forces in the joint elements. The results from the study show that in order to create a numerical model of a tied rebar cage in an efficient way some improvements must be done in the analysis software LUSAS Bridge. The most time-consuming process when creating a numerical model of a tied rebar cage are the connections. In order to create these tied connections in an efficient way some new functions must be created in LUSAS Bridge where the software can generate different types of tied connections. The results from the analysis show that the stress in the rebars at the lifting points is the criterion that is most critical when the rebar cage is lifted. The maximum stress reached 356 MPa with the utilization rate of 81,9% when the connection stiffness has full capacity. When the connection stiffness was adjusted, it was also shown here that the stress was the criterion that is most critical. The analysis for 50% connection stiffness capacity showed a maximum stress of 402 MPa with the utilization rate of 92,4%, this shows an increase of 10,5% of the utilization rate when the IV  connection stiffness is decreased with 50%. Based on these results, it can be stated that the rebar cage can be lifted if four lifting points are used. It can also be seen from the results that the stiffness in the connections has a very small impact on the behavior of the cage and therefore the placement of the rebars contributes more to the stability. / Byggindustrin går mot ett allt mer industriellt byggande och ett steg på vägen är att använda sig av prefabricerade armeringskorgar. Ett nytt koncept håller på att undersökas där man vill framställa najade armeringskorgar på byggarbetsplatsen med hjälp av industrirobotar. Industrirobotarna bygger armeringskorgarna utifrån en geometrisk modell för att sedan lyftas till gjutplatsen med hjälp av en kran. För att detta koncept ska bli en effektiv process måste man redan i projekteringsfasen kunna utvärdera armeringskorgarnas lyftbarhet för att kunna avgöra om det går att lyfta armeringskorgarna till gjutplatsen efter att de är färdigmonterade. Examensarbetets syfte är att undersöka vad som krävs för att ska skapa en numerisk modell med hjälp av data från en geometrisk modell på ett effektivt sätt för att sedan kunna avgöra om en armeringskorg går att lyfta. Denna studie är avgränsad till enbart en typ av armeringskorg som redan är skapad i CADprogrammet Tekla Structures av entreprenören Skanska Sverige AB. Processen som krävs för att skapa en numerisk modell med hjälp av en geometrisk modell är begränsad till analysprogrammet LUSAS Bridge och CAD-programmet Tekla Structures. För att kunna avgöra vad som krävs för att skapa en numerisk modell med hjälp av en geometrisk modell i analysprogrammet LUSAS Bridge utfördes en kartläggning. Kartläggningen omfattar de steg som krävs för att skapa en numerisk modell av en najad armeringskorg från en geometrisk modell och de svårigheter som finns längs vägen. För att kunna avgöra om den geometriska modellen av armeringskorgen är lyftbar skapades en linjär Finita Element Analys i analysprogrammet LUSAS Bridge. Analysen är skapad med hjälp av data från den geometriska modellen från Tekla Structures samt testresultat från en tidigare studie där man har provat hållfastheten och styvheten hos najade knutpunkter. Analysen är skapad för att efterlikna en armeringskorg till ett brofundament i skala 1:2 som lyfts i fyra punkter. Lyftpunkterna i denna analys är simulerade som stöd medan armeringskorgen utsätts för en accelerationskraft för att efterlikna ett lyft. Analysen utförs i två delar, en när de najade knutpunkterna har full styvhet och den andra när styvhet för knutpunkterna minskar. Detta för att se hur styvheten i knutpunkterna påverkar stabiliteten i armeringskorgen. Armeringskorgens lyftbarhet bedöms av två olika kriterier (1) spänning i armeringsjärnen och (2) krafter i knutpunkterna. Resultaten från studien visar att för att kunna skapa en numeriskmodell av en najad armeringskorg på ett effektivt sätt måste en del förbättringar göras i analysprogrammet LUSAS Bridge. Den process som är mest tidskrävande är när man skapar de najade knutpunkterna för armeringskorgen. För att det ska gå att genomföra detta på ett effektivt sätt måste en ny funktion skapas i LUSAS Bridge där programmet kan generera olika typer av knutpunkter automatiskt. Resultaten från analysen visade att spänningen av armeringsjärnen vid lyftpunkterna är det kriterium som är mest kritisk när armeringskorgen utsätts för lyft. Den maximala spänningen uppgick till 356 MPa med en utnyttjandegrad på 81,9% för armeringskorgen med full styvhet. När styvheten justerades visades det även här att spänningen är det kriterium som är mest kritiskt. Analysen för 50% styvhet visade en maximal spänning på 402 MPa med en utnyttjande grad på 92,4%, detta visar en ökning på 10,5% av utnyttjandegraden när styvheten halveras. VI  Utifrån dessa resultat kan man konstatera att armeringskorgen går att lyfta om man använder fyra lyftpunkter. Man kan även utifrån resultaten se att en minskning av styvheten i knutpunkterna har en liten påverkar på armeringskorgens lyftbarhet och istället är det placeringen av armeringsjärnen som har störst betydelse.

Introduction One out of five reported motor vehicle collision injuries occur to the upper extremities. Certain parts of The Total HUman Model for Safety (THUMS) lack validation against experimental data, including the elbow. The aim of this project is to refine and validate the elbow joint of THUMS, with focus on anatomical response of the elbow during axial impact applied to the wrist. Methods Internal contacts in the elbow were modified and new contacts assigned between bones and ligaments of the elbow. The posterior part of the radial- and ulnar collateral ligaments, and joint capsule was implemented to the model. Elasticmodulus of the cortical bones of the elbow was increased as well as the shell thickness of the humeral cortical bone. The updated model was validated against an experiment where an axial load was applied to the wrist of a female cadaver. The experimental resultant force in the wrist was then compared with the wrist force obtained from the simulations. Results The correlation between the experimental and simulation resultant wrist force for the updated model resulted in a CORA score of 0.882. This gave a 6.7% higher CORA score compared with the original model. Hourglass energy was reduced from 63.52% of internal energy to 0.78%. Energy ratio and contact energies indicated that the simulation was stable. Discussion Movement of elbow bones was assessed to be more anatomically correct, by accounting for the posterior ligament and elbow capsule support. The contact peak force in the humerus was lower and occurred earlier in the simulation in the updated model compared to the original. This is believed to be due to the reduced gap between the elbow bones after increasing the shell thickness of the humeral cortical bone. The model setup resembled the experiment in a good manner. Conclusion The upper extremity of THUMS was refined for improved biofidelity, with focus on the anatomical response of the elbow joint under an axial impact. However, further model improvements are suggested as well as extended validated against other experimental impact results. / Introduktion En av fem rapporterade krockskador med motorfordon förekommer i de övre extremiteterna. Vissa strukturer hos Total HUman Model for Safety (THUMS) saknar validering gentemot experimentell data, där armbågen är ett av dem. Syftet med detta projekt är att förfina och validera armbågsleden hos THUMS, med fokus på dess anatomiska respons under axiellt islag applicerad på handleden. Metod Interna kontakter i armbågen modifierades och nya kontakter tilldelades mellan ben och ligament. De posteriora delarna av kollateral ligament hos radius och ulna implementerades i modellen, så även armbågens ledkapseln. Elasticitetsmodulen hos de kortikala benen i armbågen höjdes och skalets tjocklek idet humerala kortikala benet utökades. Den uppdaterade modellen validerades mot ett experiment där en axiell belastning hade applicerats mot en kvinnlig kadavers handled. Den resulterande kraften i handleden från experimentet jämfördes sedan med erhållen kraft i handleden från simuleringarna. Resultat Korrelationen mellan den experimentella kraften och simulerade kraften hos den uppdaterade modellen resulterade i ett CORA-poäng på 0,882. Detta är en ökning med 6,7% jämfört med den ursprungliga modellen. Hourglassenergin reducerades från 63,52% av inre energi till 0,78%. Energiförhållandet och kontaktenergier indikerade stabil simulering. Diskussion Rörelsen av armbågens ben bedömdes vara mer anatomiskt korrekt, med hänsyn till stödet från de posteriora ligamentet och armbågens ledkapsel. Den maximala islagskraften i humerus minskade och uppträdde tidigare i simuleringen hos den uppdaterade modellen jämfört med originalet. Detta tros bero på reducerat avstånd mellan armbågens ben genom ökandet av skaltjockleken hos det humeralakortikala benet. Modelluppställningen motsvarade experimentets uppställning. Konklusion De övre extremiteterna av THUMS förfinades i syfte att förbättra biofideliteten. Fokus låg på armbågens anatomiska respons under ett axielltislag. Både ytterligare förbättringar av modellen och utökad validering mot andra experimentella islag rekommenderas. / Technology

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No description available.

The purpose of this study was to examine the effect of bottom chord extensions on deflections and vibration characteristics of joist supported floor systems when joist bottom chord extensions are installed. To understand the effect of bottom chord extensions on deflections, natural frequency, damping, mode shape and effective mass, extensive analytical and experimental studies were conducted on single span and three span joist supported laboratory footbridges with different bottom chord extension configurations. Finite element computer models were created to simulate and compare the results of stiffness and vibration tests. Testing was done with a) the bottom chord extensions in-place before the concrete was placed, b) with all or part of the bottom chord extensions removed, and c) after the bottom chord extensions had been reinstalled with jacking for the single span footbridge and without jacking for the three-span footbridge. Results from the stiffness tests indicate that re-installing the bottom chord extensions to the joists of the single span footbridge with cured concrete with the center of the span raised helps to reduce the uniform load deflections to some extent, but not as much as placing the bottom chord extensions before the concrete placement. Likewise, for the three span footbridge, placing the bottom chord extensions before the concrete placement is observed to be a better solution. Results from the dynamic tests indicate that the effect of bottom chord extensions on the single span footbridge is consistent for natural frequency, 20 psf live load deflections, sinusoidal excitations with high amplitudes, quarter point heel drop excitations, walking excitations, and effective mass values. The effect of bottom chord extensions on the three span footbridge is consistent for the natural frequency and 20 psf deflections. However, the FRF (Frequency Response Function) peaks of chirp, heel drop, sinusoidal excitations, accelerations from walking data, and the MEScope and Finite Element model effective mass results do not follow a common trend. It can be concluded that even though the footbridge was stiffened by the bottom chord extensions, that does not necessarily mean that the acceleration levels, and hence the frequency response function peaks, decrease. However, bottom chord extensions do increase the natural frequencies for all the three governing bending modes. / Ph. D.

The advent and proliferation of planar technologies for power converters are driven in part by the overall trends in analog and digital electronics. These trends coupled with the demands for increasingly higher power quality and tighter regulations raise various design challenges. Because inductors and transformers constitute a rather large part of the overall converter volume, size and performance improvement of these structures can subsequently enhance the capability of power converters to meet these application-driven demands. Increasing the switching frequency has been the traditional approach in reducing converter size and improving performance. However, the increase in switching frequency leads to increased power loss density in windings and core, with subsequent increase in device temperature, parasitics and electromagnetic radiation. An accurate set of reduced-order modeling methodologies is presented in this work in order to predict the high-frequency behavior of inductors and transformers. Analytical frequency-dependent expressions to predict losses in planar, foil windings and cores are given. The losses in the core and windings raise the temperature of the structure. In order to ensure temperature limitation of the structure is not exceeded, 1-D thermal modeling is undertaken. Based on the losses and temperature limitation, a methodology to optimize performance of magnetics is outlined. Both numerical and analytical means are employed in the extraction of transformer parasitics and cross-coupling. The results are compared against experimental measurements and are found to be in good accord. A simple near-field electromagnetic shield design is presented in order to mitigate the amount of radiation. Due to inadequacy of existing winding technology in forming suitable planar windings for PCB application, an alternate winding scheme is proposed which relies on depositing windings directly onto the core. / Master of Science

With continued feature size reduction in microelectronics and with more than a billion transistors on a single integrated circuit (IC), on-chip interconnection has become a challenge in terms of processing-, electrical-, thermal-, and mechanical perspective. Today’s high-performance ICs have on-chip back-end-of-line (BEOL) layers that consist of copper traces and vias interspersed with low-k dielectric materials. These layers have thicknesses in the range of 100 nm near the transistors and 1000 nm away from the transistors close to the solder bumps. In such BEOL layered stacks, cracking and/or delamination is a common failure mode due to the low mechanical and adhesive strength of the dielectric materials as well as due to high thermally-induced stresses. However, there are no available cohesive zone models and parameters to study such interfacial cracks in sub-micron thick microelectronic layers. This work focuses on developing framework based on cohesive zone modeling approach to study interfacial delamination in sub-micron thick layers. Such a framework is then successfully applied to predict microelectronic device reliability. As intentionally creating pre-fabricated cracks in such interfaces is difficult, this work examines a combination of four-point bend and double-cantilever beam tests to create initial cracks and to develop cohesive zone parameters over a range of mode-mixity. Similarly, a combination of four-point bend and end-notch flexure tests is used to cover additional range of mode-mixity. In these tests, silicon wafers obtained from wafer foundry are used for experimental characterization. The developed parameters are then used in actual microelectronic device to predict the onset and propagation of crack, and the results from such predictions are successfully validated with experimental data. In addition, nanoindenter-based shear test technique designed specifically for this study is demonstrated. The new test technique can address different mode mixities compared to the other interfacial fracture characterization tests, is sensitive to capture the change in fracture parameter due to changes in local trace pattern variations around the vicinity of bump and the test mimics the forces experienced by the bump during flip-chip assembly reflow process. Through this experimental and theoretical modeling research, guidelines are also developed for the reliable design of BEOL stacks for current and next-generation microelectronic devices.

De nos jours, la politique écologique encourage les constructeurs automobiles à réduire le poids global du véhicule. Des tôles d'acier fines d'épaisseur différente optimisant chaque partie de l'assemblage sont utilisées et les sidérurgistes développent des aciers de plus en plus résistants à savoir l'Acier Haute Résistance Avancé (AHSS) avec un bon compromis entre résistance mécanique et ductilité (emboutissage). Lors des essais mécaniques de soudage hétérogène AHSS, des modes de fractures inhabituels sont observés, notamment le long de l'interface entre la zone affectée par la chaleur (ZAT) et la zone de fusion ou zone fondue (ZF). Ces fractures se produisent généralement avec une résistance inférieure à celle attendue pour ces soudures. Les objectifs de l'étude sont de comprendre les mécanismes de rupture au cours des essais mécaniques et de créer un modèle mécanique de FE conçu pour prédire la résistance mécanique des assemblages soudés. Tout d'abord, une étude de soudage hétérogène constituée de deux nuances d'acier bien connues d'ArcelorMittal vise à comprendre le mécanisme de défaillance et les paramètres affectant les modes de défaillance. Différentes configurations sont étudiées avec l'épaisseur. Le modèle FE est construit avec une réponse mécanique identifiée de chaque zone (matériaux de base, zones affectées par la chaleur et zone de fusion), en utilisant des modèles d'ArcelorMittal et des données expérimentales. Des critères de défaillance basés sur des dommages ductiles tenant compte de l'influence de la triaxialité sont utilisés et certains éléments cohésifs sont utilisés pour simuler une défaillance interfaciale. Deux configurations d'essais mécaniques dans le cas du soudage par résistance par points (essais de traction transversale et de traction) sont considérées. Les prédictions du modèle étaient très précises avec les modes de défaillance et les forces expérimentaux. Ensuite, cette méthode de modélisation FE a été appliquée avec succès à un boîtier de soudage par points très hétérogène comprenant un nouveau concept AHSS basse densité de troisième génération à forte teneur en aluminium et en manganèse. Les modes d'échec et les forces obtenues étaient comparables. De plus, la méthode de modélisation FE a été appliquée sur des configurations plus complexes, en particulier sur un assemblage soudé par points triple épaisseur. La robustesse du modèle pour prédire les modes de défaillance partielle et les forces d'une soudure par points triple épaisseur a été démontrée. En outre, la méthodologie de modélisation FE a été étendue à un autre type de soudage: le soudage à l'arc. Dans ce cas, deux feuilles sont soudées en configuration de chevauchement ab avec un fil d'apport. Le modèle FE permet de prédire la zone de rupture et la résistance de l'assemblage soudé. / Nowadays, ecological policy encourages carmakers to reduce the global vehicle weight. Fine steel sheets assemblies with different thickness optimizing each part of the assembly are used and steelmakers develop steels which are more and more resistant namely Advanced High Strength Steel (AHSS) with a good compromise between mechanical strength and ductility (stamping). During the mechanical tests of heterogeneous AHSS welding, unusual fracture modes are observed, in particular along the interface between the Heat Affected Zone (HAZ) and the Fusion Zone or molten zone (FZ). These fractures generally occur with lower strength than expected for these welding. The objectives of the study are to understand fracture mechanisms during mechanical testing and create a mechanical FE model is developed to be able to predict mechanical strength of the welded assemblies. Firstly, a study of heterogeneous welding constituted of two well-known steel grades of ArcelorMittal aims at understanding failure mechanism and parameters affecting the failure modes. Different configurations are studied with thickness. FE model is built with mechanical response identified of each zone (base materials, heat affected zones and fusion zone), using ArcelorMittal models and experimental data. Failure criteria based on ductile damage taking into account the influence of the triaxiality are used and some cohesive elements are used to simulate interfacial failure. Two configurations of mechanical testing in the case of Resistance Spot Welding (cross tension and tensile shear tests) are considered. Model predictions were very accurate with experimental failure modes and strengths. Then, this FE modelling method was successfully applied to a highly heterogeneous spot welding case including a new third generation low density AHSS concept with high aluminum and manganese content. Failure modes and strengths obtained were comparable. Moreover, FE modelling method was applied on more complex configurations, in particular on a triple thick spot welded assembly. The robustness of the model to predict partial failure modes and strengths of a triple thick spot weld has been demonstrated. In addition, FE modelling methodology was extended to another welding type: arc welding. In this case, two sheets are welded in ab overlap configuration with a filler wire. FE model allows predicting the failure zone and strength of welded assembly.