Le but de ce travail est d'étudier la résolution minimale des idéaux d'arrangement de points en position générale dans les espaces projectifs. Carlos Simpson et André Hirschowitz réduisent le problème à un calcul de rang maximal (c'est à dire surjectivité ou injectivité) pour les morphismes de restriction $$ H^0(P^n,\wedge^k T_{P^n}(l))\to \wedge^k T_{P^n}(l)ı_{Z_1}\oplus\dots T_{P^n}(l)ı_{Z_s} $$ où $Z_1,\dots Z_z$ sont des points de $P^n$. Ils montrent ensuite que pour un grand nombre de points ou de façon équivalente pour un degré $l$ suffisamment grand, on a la propriété de rang maximal. Ils déduisent cette propriété , grâce µa la méthode d'Horace, d'un certain nombres de situations de rang maximal modulo les dimensions 2 et 3. Dans cette thèse on étudie et prouve systématiquement le rang maximal pour ces situations en dimension 2 et 3. On donne aussi une borne inférieure du degré pour laquelle ces énoncés sont valables. Le chapitre 6 montre comment, en raffinant les procédés de Simpson et Hirschowitz, obtenir une preuve de l'énonc¶e déjà connu pour $T_{P^3} (l)$. Le chapitre 7 reprend alors la méthode pour obtenir une preuve pour $T_{P^4} (l)$.

During the operation of phase-change ink-jet printers a bubble formation phenomenon often occurs. These bubbles are detrimental to the operation of the printer and substantial efforts are made to remove them. The objective of this research was 1: to develop a fundamental understanding of how bubble or void formation occurs during the phase-change process, and, 2: to develop a simple computer model to simulate this behavior which can then be used as a tool for better design of print-head geometries. Preliminary experimental work indicated the void formation to be a result of the density change accompanying the phase-change process. The commercial numerical code, Flow 3-D, was used to model the phase-change process in print-head geometries and substantiate certain simplifying assumptions. These assumptions included the effect of convection on the process and the effect of the varying material properties. For channel sizes less than 0.5 cm the phase-change process was found to be a pure conduction process. Convection effects are thus negligible and can be eliminated from the model. The variability of density, specific heat and thermal conductivity must be included in the model, as they affect the phase-change process dramatically. Specific heat is the most influential of the properties and determines, along with the conductivity, the rate at which the phase change takes place. The density must be included since it is directly linked to the void formation. / Graduation date: 1994

Also issued as a Sc.D. thesis in the Dept. of Electrical Engineering, 1968. / Bibliography: p. 109.

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 129-135).

The structure of symplectic (canonical) transformations on manifolds with conical singularities is established. The operators associated with these transformations are defined in the weight spaces and their properties investigated.

The quantization of contact transformations of the cosphere bundle over a manifold with conical singularities is described. The index of Fredholm operators given by this quantization is calculated. The answer is given in terms of the Epstein-Melrose contact degree and the conormal symbol of the corresponding operator.

Martensite is considered to be the backbone of the high strength of many commercial steels. Martensite is formed by a rapid diffusionless phase transformation, which has been the subject of extensive research studies for more than a century. Despite such extensive studies, martensitic transformation is still considered to be intriguing due to its complex nature. Phase-field method, a computational technique used to simulate phase transformations, could be an aid in understanding the transformation. Moreover, due to the growing interest in the field of “Integrated computational materials engineering (ICME)”, the possibilities to couple the phase-field method with other computational techniques need to be explored. In the present work a three dimensional elastoplastic phase-field model, based on the works of Khachaturyan et al. and Yamanaka et al., is developed to study the athermal and the stress-assisted martensitic transformations occurring in single crystal and polycrystalline steels. The material parameters corresponding to the carbon steels and stainless steels are considered as input data for the simulations. The input data for the simulations is acquired from computational as well as from experimental works. Thus an attempt is made to create a multi-length scale model by coupling the ab-initio method, phase-field method, CALPHAD method, as well as experimental works. The model is used to simulate the microstructure evolution as well as to study various physical concepts associated with the martensitic transformation. The simulation results depict several experimentally observed aspects associated with the martensitic transformation, such as twinned microstructure and autocatalysis. The results indicate that plastic deformation and autocatalysis play a significant role in the martensitic microstructure evolution. The results indicate that the phase-field simulations can be used as tools to study some of the physical concepts associated with martensitic transformation, e.g. embryo potency, driving forces, plastic deformation as well as some aspects of crystallography. The results obtained are in agreement with the experimental results. The effect of stress-states on the stress-assisted martensitic microstructure evolution is studied by performing different simulations under different loading conditions. The results indicate that the microstructure is significantly affected by the loading conditions. The simulations are also used to study several important aspects, such as TRIP effect and Magee effect. The model is also used to predict some of the practically important parameters such as Ms temperature as well as the volume fraction of martensite formed. The results also indicate that it is feasible to build physically based multi-length scale model to study the martensitic transformation. Finally, it is concluded that the phase-field method can be used as a qualitative aid in understanding the complex, yet intriguing, martensitic transformations. / QC 20120525 / Hero-m

Researchers in software engineering proposed design method for distributed applications to construct a set of communicating system components from a global behavior. The joint behaviors of these components must precisely satisfy the specified global behavior. The next concern is to transform the constructed models of these components into executable business processes by ensuring the exchange of asynchronous messages among the generated business processes. The introduction of Service-Oriented Architecture (SOA) has helped to achieve this goal. SOA provides high flexibility in composing loosely-integrated services that can be used among business domains to carry out business transactions; this composition is known as service orchestration. Moreover, SOA supports Model Driven Architecture (MDA) such that services modeled as UML Activity Diagrams (AD) can be transformed into a set of Business Execution Language (BPEL) processes. Many researchers discussed the transformation of UML AD and the Business Process Modeling Notation (BPMN) into BPEL. However, they did not discuss the practical limitations that some of these transformations impose. This thesis addresses the imitations of the transformation from UML AD to BPEL processes using the IBM Rational Software Architect (RSA). We showed here that the tool is unable to create the correct BPEL artifacts from UML AD components in certain cases, for instance when the behavior includes the alternative for receiving single or concurrent messages, a weak loop, or certain choice activities. Furthermore, we provided novel solutions to the transformations in these cases in order to facilitate the transformation from UML AD to BPEL.

Researchers in software engineering proposed design method for distributed applications to construct a set of communicating system components from a global behavior. The joint behaviors of these components must precisely satisfy the specified global behavior. The next concern is to transform the constructed models of these components into executable business processes by ensuring the exchange of asynchronous messages among the generated business processes. The introduction of Service-Oriented Architecture (SOA) has helped to achieve this goal. SOA provides high flexibility in composing loosely-integrated services that can be used among business domains to carry out business transactions; this composition is known as service orchestration. Moreover, SOA supports Model Driven Architecture (MDA) such that services modeled as UML Activity Diagrams (AD) can be transformed into a set of Business Execution Language (BPEL) processes. Many researchers discussed the transformation of UML AD and the Business Process Modeling Notation (BPMN) into BPEL. However, they did not discuss the practical limitations that some of these transformations impose. This thesis addresses the imitations of the transformation from UML AD to BPEL processes using the IBM Rational Software Architect (RSA). We showed here that the tool is unable to create the correct BPEL artifacts from UML AD components in certain cases, for instance when the behavior includes the alternative for receiving single or concurrent messages, a weak loop, or certain choice activities. Furthermore, we provided novel solutions to the transformations in these cases in order to facilitate the transformation from UML AD to BPEL.

The effects of Ca and Ce on the precipitation behaviour and microstructural characteristics of Mg-Zn based alloys are investigated by comprehensive multi-scale characterization and analysis. The elements Ca and Ce are chosen for their potential to enhance (a) precipitation hardening and (b) alloy texture and ductility, and are examined at both alloying and microalloying (< 0.5 wt%) levels. When added individually to Mg-Zn, Ca is found to enhance precipitation, but Ce produces a generally adverse effect on the hardening response. A pre-ageing strategy is proposed to alleviate this negative effect of Ce. The highlight of this work is the double microalloying addition of Ce-Ca to Mg-Zn, as this combination and quantity proves to be the most effective at increasing the age-hardening response, and enhancing microstructural characteristics for improved ductility. Transmission electron microscopy analysis reveals the hardening increase to originate from a refined precipitate microstructure, and the formation of fine-scale basal plate precipitates. These fine precipitates form during early ageing as monolayer GP zones consisting of Ca and Zn. The formation of these GP zones is facilitated by the atomic size difference between those two solutes, and their observed tendency to co-cluster. The monolayer GP zones evolve to multi-layered forms in the peak-aged condition. These precipitates are observed to be uniformly distributed, even where apparent precipitate-free zones are observed for the Mg-Zn type phases in the grain boundary regions. Notably, the size of these precipitate-free zones for the Mg-Zn phases is also reduced in the Ce-Ca microalloyed samples, compared to the binary alloy. The Ce-Ca microalloying additions also promote grain refinement and a weakening of the basal textures, typical of conventional Mg-based alloys, compared to both Mg-Zn and Mg-Zn-Ce. As a result, the tensile behaviour of the alloys with Ce-Ca is similarly enhanced. Considering both the precipitation hardening capability and microstructural characteristics, it is concluded that the double microalloying additions of Ce-Ca can be considered as a new alloy design strategy to successfully achieve improvement in both the strength and ductility of Mg-Zn alloys.