No description available.

In this study, the Element-Free Galerkin (EFG) method has been used for the analysis of plane stress problems. A computer program has been developed by using FORTRAN language. The moving least squares (MLS) approximation has been used in generating shape functions. The results obtained by the EFG method have been compared with analytical solution and the numerical results obtained by MSC. Patran/Nastran. The comparisons show that the mesh free method gives more accurate results than the finite element approximation with less computational effort.

Constrained sintering is an important process for many applications. The sintering process almost always involves some form of constraint, both internal and external, such as rigid particles, reinforcing fibers and substrates to which the porous body adheres. The densification behavior of zinc oxide and cordierite-base crystallizable glass constrained on a rigid substrate was studied to add to the understanding of the behavior of various materials undergoing sintering when subjected to external substrate constraint. Porous ZnO films were isothermally sintered at temperatures between 900°C and 1050°C. The results showed that the densification of films constrained on substrates is severely reduced. This was evident in the sintered microstructures where the particles are joined together by narrower necks forming a more open structure, instead of the equiaxed grains with wide grain boundaries observed in the freestanding films. The calculated activation energies of densification were also different. For the density range of 60 to 64%, the constrained film had an activation energy of 391 ± 34 kJ/mole compared to 242 ± 21 kJ/mole for the freestanding film, indicating a change in the densification mechanism. In-plane stresses were observed during the sintering of the constrained films. Yielding of the films, in which the stresses dropped slight or remained unchanged, occurred at relative densities below 60% before the stresses climbed linearly with increasing density followed by a gradual relaxation. A substantial amount of the stresses remained after cooling. Free and constrained films of the cordierite-base crystallizable glass (glass-ceramic) were sintered between 900°C and 1000°C. The substrate constraint did not have a significant effect on the densification rate but the constrained films eventually underwent expansion. Calculations of the densification activation energy showed that, on average, it was close to 1077 kJ/mole, the activation energy of the glass, indicating that the prevailing mechanism was still viscous flow. The films expanded earlier and faster with increasing sintering temperature. The expansion was traced to the formation of pores at the interface with the silicon substrate and to a lesser extent on aluminum nitride. It was significantly reduced when the silicon substrate was pre-oxidized at 900°C, leading to the conclusion that the pore formation at the interface was due to poor wetting, which in turn was caused by the loss of the thin oxide layer through a reaction with the glass. / Ph. D.

No description available.

Le problème initial traité dans cette thèse relève du cadre général de la modélisation des tunnels profonds. Pour cela, on a adopté l'approche basée sur la mécanique linéaire de la rupture. L'étude s'est appuyée sur le critère mixte de Leguillon. Suite à cette étude, on a pu tirer que ce n'est pas le critère mixte qui est insuffisant mais plutôt la façon d'aborder le problème. D'où le passage à la prise en compte de l'hétérogénéité du matériau constitutif et la possibilité d'amorçage d'une fissure sous une contrainte de compression. Une première approche a été entreprise par l'étude d'une bicouche périodique sous contrainte de compression verticale. La couche de grande raideur s'est apparue le siège d'une traction transversale. Effectivement la possibilité d'amorçage d'une fissure est tout à fait probable grâce toujours à la vérification des critères d'énergie et de contrainte. Une deuxième approche consistait à observer au plus près la microstructure du matériau ; on a considéré le problème d'une inclusion elliptique dans une matrice infinie. Par la méthode des variables complexes et la technique de la transformation conforme, on a analysé le champ de contrainte autour de l'inclusion et on a mis en évidence la présence d'une traction qui dépend fortement des paramètres choisis. Par la méthode des éléments finis étendus, on a calculé la variation de l'énergie potentielle mise en jeu par la création d'une fissure. Par une démarche semblable à l'approche précédente, à savoir la vérification des critères d'énergie et de contrainte, on a conclu à la possibilité d'amorçage d'une fissure. Mots clefs : mécanique linéaire de la rupture, critère mixte de Leguillon, énergie potentielle, taux de restitution d'énergie, méthode des éléments finis étendus, bicouche périodique, méthode des variables complexes / The initial problem treated in this thesis falls within the general framework of modeling deep tunnels. For this reason, the approach based on linear fracture mechanics was adopted. The study was based on the mixed criterion of Leguillon. Following This study, the mixed criterion was not insufficient but the way to approach the problem was. Where the transition to the consideration of the heterogeneity of the material component and the possibility of initing a crack under a compressive stress. A first approach was undertaken the study of periodic bilayer under the stress of vertical compression. The layer of the highest stiffness has appeared the seat of a transverse traction. Indeed the possibility to initiate a crack is quite likely always through the verification of the energy and the stress criteria. A second approach was to observe more closer the microstructure of the material; we have considered the problem of elliptic inclusion in an infinite matrix. By the method of complex variables and the technique of conformal mapping, we analyzed the stress field around the inclusion and were revealed the presence of a traction which depends strongly of the selected parameters. By the extended finite element method, we calculated the variation of the potential energy involved by creating a fracture. In a similar approach to the previous one, namely verification of the energy and the stress criteria, we concluded the possibility of initiating a crack. Keywords: linear fracture mechanics, mixed criterion of Leguillon, potential energy, energy release rate, extended finite element method, periodic bilayer, method of complex variables

Le problème initial traité dans cette thèse relève du cadre général de la modélisation des tunnels profonds. Pour cela, on a adopté l'approche basée sur la mécanique linéaire de la rupture. L'étude s'est appuyée sur le critère mixte de Leguillon. Suite à cette étude, on a pu tirer que ce n'est pas le critère mixte qui est insuffisant mais plutôt la façon d'aborder le problème. D'où le passage à la prise en compte de l'hétérogénéité du matériau constitutif et la possibilité d'amorçage d'une fissure sous une contrainte de compression. Une première approche a été entreprise par l'étude d'une bicouche périodique sous contrainte de compression verticale. La couche de grande raideur s'est apparue le siège d'une traction transversale. Effectivement la possibilité d'amorçage d'une fissure est tout à fait probable grâce toujours à la vérification des critères d'énergie et de contrainte. Une deuxième approche consistait à observer au plus près la microstructure du matériau ; on a considéré le problème d'une inclusion elliptique dans une matrice infinie. Par la méthode des variables complexes et la technique de la transformation conforme, on a analysé le champ de contrainte autour de l'inclusion et on a mis en évidence la présence d'une traction qui dépend fortement des paramètres choisis. Par la méthode des éléments finis étendus, on a calculé la variation de l'énergie potentielle mise en jeu par la création d'une fissure. Par une démarche semblable à l'approche précédente, à savoir la vérification des critères d'énergie et de contrainte, on a conclu à la possibilité d'amorçage d'une fissure. Mots clefs : mécanique linéaire de la rupture, critère mixte de Leguillon, énergie potentielle, taux de restitution d'énergie, méthode des éléments finis étendus, bicouche périodique, méthode des variables complexes / The initial problem treated in this thesis falls within the general framework of modeling deep tunnels. For this reason, the approach based on linear fracture mechanics was adopted. The study was based on the mixed criterion of Leguillon. Following This study, the mixed criterion was not insufficient but the way to approach the problem was. Where the transition to the consideration of the heterogeneity of the material component and the possibility of initing a crack under a compressive stress. A first approach was undertaken the study of periodic bilayer under the stress of vertical compression. The layer of the highest stiffness has appeared the seat of a transverse traction. Indeed the possibility to initiate a crack is quite likely always through the verification of the energy and the stress criteria. A second approach was to observe more closer the microstructure of the material; we have considered the problem of elliptic inclusion in an infinite matrix. By the method of complex variables and the technique of conformal mapping, we analyzed the stress field around the inclusion and were revealed the presence of a traction which depends strongly of the selected parameters. By the extended finite element method, we calculated the variation of the potential energy involved by creating a fracture. In a similar approach to the previous one, namely verification of the energy and the stress criteria, we concluded the possibility of initiating a crack. Keywords: linear fracture mechanics, mixed criterion of Leguillon, potential energy, energy release rate, extended finite element method, periodic bilayer, method of complex variables

Miniaturizing circuit size and increasing power density are the latest trends in modern power electronics development. In order to meet the requirements of higher frequency and higher power density in power electronics applications, planar interconnections are utilized to achieve a higher integration level. Power switching devices, passive power components, and EMI (Electromagnetic Interference) filters can all be integrated into planar power modules by using planar metallization, which is a technology involving electrical, mechanical, material, and thermal issues. By processing high dielectric materials, magnetic materials, or silicon chips using compatible manufacturing procedures, and by carefully designing structures and interconnections, we can realize the conventional discrete inductors, capacitors, and switch circuits with planar modules. Compared with conventional discrete components, the integrated planar modules have several advantages including lower profiles, better form factors, and less labor-intensive processing steps. In addition, planar interconnections reduce the wire bond inductive and resistive parasitic parameters, especially for high frequency applications. However, planar integration technology is a packaging approach with a large contact area between different materials. This may result in unknown failure mechanisms in power applications. Extensive research has already been done to study the performance, processing, and reliability of the planar interconnects in thin film structures. The thickness of the thin films used in integrated circuits (IC) or microelectronics applications ranges from the magnitude of nanometers to that of micrometers. In this work, we are interested in adopting planar interconnections to Integrated Power Electronics Modules (IPEM). In Integrated Power Electronics Modules (IPEMs), copper traces, especially bus traces, need to conduct current ranging from a few amps to tens of amps. One of the major differences between IC and IPEM is that the metal layer in IPEMs (normally >75µm) is much thicker than that of the thin films in IC (normally <1µm). The other major difference, which is also a feature of IPEM, is that the planar metallization is deposited on different brittle substrates. In active IPEM, switching devices are in a bare die form with no encapsulation. The copper deposition is on top of the silicon chips and the insulation polyimide layer. One of the key elements for passive IPEM and the EMI IPEM is the integrated inductor-capacitor (LC) module, which realizes equivalent inductors and capacitors in one single module. The deposition processes for silicon substrates and ceramic substrates are compatible and both the silicon and ceramic materials are brittle. Under high current and high temperature conditions, these copper depositions on brittle materials will cause detrimental failure spots. Over the last few years, the design, manufacture, optimization, and testing of the IPEMs has been developed and well documented. Up to this time , the research on failure mechanisms of conventional integrated power modules has led to the understanding of failures centered on wire bond or solder layer. However, investigation on the reliability and failure modes of IPEM is lacking, particularly that which uses metallization on brittle substrates for high current operations. In this study, we conduct experiments to measure and calculate the residual stresses induced during the process. We also, theoretically model and simulate the thermo-mechanical stresses caused by the mismatch of thermal expansion coefficients between different materials in the integrated power modules. In order to verify the simulation results, the integrated power modules are manufactured and subjected to the lifetime tests, in which both power cycling and temperature cycling tests are carried out. The failure mode analysis indicates that there are different failure modes for copper films under tensile or compressive stresses. The failure detection process verifies that delamination and silicon cracks happen to copper films due to compressive and tensile stresses respectively. This study confirms that the high stresses between the metallization and the silicon are the failure drivers in integrated power electronics modules.. We also discuss the driving forces behind several different failure modes. Further understanding of thesefailure mechanisms enables the failure modes to be engineered for safer electrical operation of IPEM modules and helps to enhance the reliability of system-level operation. It is also the basis to improve the design and to optimize the process parameters so that IPEM modules can have a high resistance to recognized failures. / Ph. D.

Der Vortrag stellt das neue, unendlich reibungsbehaftete Kontaktmodell der FEM-Berechnungssoftware Pro/ENGINEER Mechanica in der Version Wildfire 4.0 von PTC vor. Dabei werden sowohl die Grundlagen des reibungsfreien Kontaktes als auch die Theorie des unendlich reibungsbehafteten Kontaktmodells behandelt sowie die Grundlagen der zur numerischen Lösung in der Software verwendeten Penalty- und Newton-Raphson-Methode erläutert. Als Anwendungsbeispiel für das reibungsfreie Kontaktmodell wird ein Zylinderrollenlager vollständig mit sämtlichen Wälzkontakten für verschiedene Lager- und Einbauspiele berechnet, die Ergebnisse umfassend dargestellt sowie eine analytische Gegenrechnung nach der Hertzschen Theorie ausgeführt, die sehr gute Übereinstimmung mit der numerischen Simulation zeigt. Für das reibungsbehaftete Kontaktmodell wird exemplarisch eine geschrumpfte Welle-Nabe-Verbindung unter Torsion berechnet. Diese wird einer analytischen Lösung sowie verschiedenen 2D-Idealisierungen (ebener Spannungszustand, ebener Dehnungszustand, 2D-Axialsymmetrie) gegenübergestellt.

Der Vortrag stellt das neue, unendlich reibungsbehaftete Kontaktmodell der FEM-Berechnungssoftware Pro/ENGINEER Mechanica in der Version Wildfire 4.0 von PTC vor. Dabei werden sowohl die Grundlagen des reibungsfreien Kontaktes als auch die Theorie des unendlich reibungsbehafteten Kontaktmodells behandelt sowie die Grundlagen der zur numerischen Lösung in der Software verwendeten Penalty- und Newton-Raphson-Methode erläutert. Als Anwendungsbeispiel für das reibungsfreie Kontaktmodell wird ein Zylinderrollenlager vollständig mit sämtlichen Wälzkontakten für verschiedene Lager- und Einbauspiele berechnet, die Ergebnisse umfassend dargestellt sowie eine analytische Gegenrechnung nach der Hertzschen Theorie ausgeführt, die sehr gute Übereinstimmung mit der numerischen Simulation zeigt. Für das reibungsbehaftete Kontaktmodell wird exemplarisch eine geschrumpfte Welle-Nabe-Verbindung unter Torsion berechnet. Diese wird einer analytischen Lösung sowie verschiedenen 2D-Idealisierungen (ebener Spannungszustand, ebener Dehnungszustand, 2D-Axialsymmetrie) gegenübergestellt.