1 Abstract The presented thesis deals with liability for defects in work in business obligations. It analyzes the effective legislation which is primarily contained in the Commercial Code and points out some problems arising from the interpretation of the law. It further summarizes the numerous and relatively constant judicature of the Supreme Court of the Czech Republic and legal opinions of several commercional lawyers. The author of the thesis tries to assess the conclusions of the judicature and legal doctrine. In some cases, he presents his own suggestions to solve the shortcomings of the current legislation. These proposals are based on his own legal reasoning. During the creation of the Commercial Code, the legislature had been inspired by the Economic Code and the International Trade Code, the immediate predecessors of the Commercial Code, and by United Nations Convention on Contracts for the International Sale of Goods. For this reason the legislation contained in these sources of law is mentioned particularly when the legislation departs from the current legislation of the Commercial Code. The future development of the legislation is also presumed. The thesis deals with the draft of the new Civil Code and focuses on the draft's solutions of several selected issues (issue of performance of...

Ce travail comporte deux volets. Le premier concerne l'étude de défauts locaux dans des matériaux cristallins. Le chapitre 1 donne un bref panorama des principaux modèles utilisés en chimie quantique pour le calcul de structures électroniques. Dans le chapitre 2, nous présentons un modèle variationnel exact qui permet de décrire les défauts locaux d'un cristal périodique dans le cadre de la théorie de Thomas-Fermi-von Weiszäcker. Celui-ci est justifié à l'aide d'arguments de limite thermodynamique. On montre en particulier que les défauts modélisés par cette théorie ne peuvent pas être chargés électriquement. Les chapitres 3 et 4 de cette thèse traitent du phénomène de pollution spectrale. En effet, lorsqu'un opérateur est discrétisé, il peut apparaître des valeurs propres parasites, qui n'appartiennent pas au spectre de l'opérateur initial. Dans le chapitre 3, nous montrons que des méthodes d'approximation de Galerkin via une discrétisation en éléments finis pour approcher le spectre d'opérateurs de Schrödinger périodiques perturbés sont sujettes au phénomène de pollution spectrale. Par ailleurs, les vecteurs propres associés aux valeurs propres parasites peuvent être interprétés comme des états de surface. Nous prouvons qu'il est possible d'éviter ce problème en utilisant des espaces d'éléments finis augmentés, construits à partir des fonctions de Wannier associées à l'opérateur de Schrödinger périodique non perturbé. On montre également que la méthode dite de supercellule, qui consiste à imposer des conditions limites périodiques sur un domaine de simulation contenant le défaut, ne produit pas de pollution spectrale. Dans le chapitre 4, nous établissons des estimations d'erreur a priori pour la méthode de supercellule. En particulier, nous montrons que l'erreur effectuée décroît exponentiellement vite en fonction de la taille de la supercellule considérée. Un deuxième volet concerne l'étude d'algorithmes gloutons pour résoudre des problèmes de propagation d'incertitudes en grande dimension. Le chapitre 5 de cette thèse présente une introduction aux méthodes numériques classiques utilisées dans le domaine de la propagation d'incertitudes, ainsi qu'aux algorithmes gloutons. Dans le chapitre 6, nous prouvons que ces algorithmes peuvent être appliqués à la minimisation de fonctionnelles d'énergie fortement convexes non linéaires et que leur vitesse de convergence est exponentielle en dimension finie. Nous illustrons ces résultats par la résolution de problèmes de l'obstacle avec incertitudes via une formulation pénalisée / The contributions of this thesis work are two fold. The first part deals with the study of local defects in crystalline materials. Chapter 1 gives a brief overview of the main models used in quantum chemistry for electronic structure calculations. In Chapter 2, an exact variational model for the description of local defects in a periodic crystal in the framework of the Thomas-Fermi-von Weisz"acker theory is presented. It is justified by means of thermodynamic limit arguments. In particular, it is proved that the defects modeled within this theory are necessarily neutrally charged. Chapters 3 and 4 are concerned with the so-called spectral pollution phenomenon. Indeed, when an operator is discretized, spurious eigenvalues which do not belong to the spectrum of the initial operator may appear. In Chapter 3, we prove that standard Galerkin methods with finite elements discretization for the approximation of perturbed periodic Schrödinger operators are prone to spectral pollution. Besides, the eigenvectors associated with spurious eigenvalues can be characterized as surface states. It is possible to circumvent this problem by using augmented finite element spaces, constructed with the Wannier functions of the periodic unperturbed Schr"odinger operator. We also prove that the supercell method, which consists in imposing periodic boundary conditions on a large simulation domain containing the defect, does not produce spectral pollution. In Chapter 4, we give a priori error estimates for the supercell method. It is proved in particular that the rate of convergence of the method scales exponentiall with respect to the size of the supercell. The second part of this thesis is devoted to the study of greedy algorithms for the resolution of high-dimensional uncertainty quantification problems. Chapter 5 presents the most classical numerical methods used in the field of uncertainty quantification and an introduction to greedy algorithms. In Chapter 6, we prove that these algorithms can be applied to the minimization of strongly convex nonlinear energy functionals and that their convergence rate is exponential in the finite-dimensional case. We illustrate these results on obstacle problems with uncertainty via penalized formulations

L’objectif de cette thèse est d’observer la modification du comportement rhéologique dedifférents polyéthylènes branchés, suite à un traitement de cisaillement. Après avoir décrit lesmatériaux et les moyens utilisés, nous avons caractérisé le plus complètement possible lecomportement rhéologique des différents matériaux, aussi bien en cisaillement qu'en élongation.Nous avons également déterminé des données calorimétriques et des informations sur lescaractéristiques moléculaires, permettant entre autres de définir la masse entre enchevêtrements.Nous avons ensuite mesuré l’évolution de la viscosité dans différentes conditions de pré‐cisaillement,en faisant varier le temps et le taux de cisaillement dans un rhéomètre cône‐plan et dans unegéométrie de Couette montée en amont d’un rhéomètre capillaire. Nous avons montré que lesmécanismes de désenchevêtrement sont complexes et qu'ils ne sont pas directement explicables parun seul paramètre, comme la masse entre enchevêtrements. Enfin, l’observation des extrudats à lasortie de la filière nous a permis de mettre en évidence la modification des défauts d'extrusion sousl’effet d’un pré‐cisaillement. / The aim of this work is to characterize the effects of shear modification on differentbranched polyethylenes. After a short description of materials and methods, we have characterizedthe rheological behaviour of the different materials, both in shear and elongation. We have alsoobtained calorimetric and molecular data, allowing us to define the molar mass betweenentanglements. Then, we have characterized the viscosity changes induced by a pre‐shear, indifferent conditions of shear rate and time, both in cone and plate and Couette geometries. We haveshown that the mechanisms of disentanglement are complex and cannot be directly explained by aunique parameter like the mass between entanglements. Finally, the observation of the extrudatesat the die exit has permitted to evidence the change in extrusion defects induced by shearmodification.

Comme son nom l'indique, le tolérancement flexible a pour objectif de tenir compte de la souplesse des pièces dans un processus de tolérancement. Il permet d'évaluer les défauts géométriques admissibles par des critères aussi bien géométriques que mécaniques. Ces travaux abordent en premier lieu l'élaboration de modèles adéquats permettant de prédire le comportement mécanique d'un assemblage de grandes pièces relativement souples lorsqu'elles sont sujettes à des défauts géométriques issues du procédé de fabrication. Une méthode a alors été proposée pour y implémenter des variations géométriques aléatoires réalistes vis-à-vis de ces hypothétiques défauts géométriques. Pour simuler les opérations d'assemblage, le phénomène de contact unilatéral et les variations de rigidité dues aux variabilités géométriques ont été prises en compte. En fonction de ces hypothèses, les stratégies d'analyse de tolérance avec Monte Carlo ou la méthode des coefficients d'influence ont été comparées afin de choisir celle minimisant les coûts de calcul tout en conservant la justesse des résultats. Finalement, ces travaux s'achèvent sur une étude de cas industriel : un treillis supportant des équipements sous le plancher du fuselage d'un Airbus A350. / As indicated by its name, the purpose of flexible tolerancing is to take into account the flexibility of the parts in a tolerancing process. It allows to evaluate the permissibles geometrical defects by both geometrical and mechanical criteria. These works deal first with the elaboration of a model able to predict the mechanical behaviour of an assembly of larges and flexibles parts which are suject to geometrical defects induced by their manufacturing process. A method has thus been suggested in order to implement geometrical variations which are realistic according to these hypothetical geometrical defects. To simulate the assembling process, the unilateral contact phenomenon and the stiffness variations induced by the geometrical variability have been taken into account. Depending on these assumptions, some strategies of tolerance analysis with Monte Carlo or the method of influence coefficients have been compared in order to choose the one minimizing the computational costs while maintaining the accuracy of the results. Finally, these works are completed with an industrial study case: a truss supporting equipments and hanging under the fuselage floor of an Airbus A350.

Le silicium est le matériau de prédilection de l'industrie de la microélectronique. L'augmentation du coût de celui-ci a donc incité les différentes industries à optimiser l'utilisation des plaquettes de silicium. La réutilisation de plaquettes (recyclage) est donc devenue monnaie courante : c'est le cas des plaquettes tests ou des plaquettes de type SOI. Le recyclage présente cependant des limites, en effet, au cours des cycles la qualité des plaquettes diminue plus ou moins rapidement. La compréhension des mécanismes de la dégradation des plaquettes lors de cycles de procédés est donc un enjeu important. Les procédés de recuit haute température sont connus pour être à la fois les plus répandus et les plus dégradants. Pour comprendre quels sont les phénomènes mis en jeu lors de tels cycles, un panel d'échantillons a subi différents nombres de cycles et a été étudié par diverses techniques. Le LST et la microscopie électronique en transmission ont tout particulièrement été utilisés, couplant ainsi des mesures globales de densités et dimensions de défauts à des mesures locales permettant de caractériser la nature des défauts et leur comportement à l'échelle nanométrique. L'évolution de la concentration en oxygène interstitiel dans le matériau, liée à la précipitation d'oxyde de silicium, a été mesurée par IRTF. Il a ainsi été montré que chaque cycle consistait en une étape de nucléation de défauts, principalement des précipités d'oxyde de silicium, et une étape de grossissement. La détermination de la morphologie, ainsi que de la stoechiométrie des précipités a été réalisée. / Silicon is the prefered material of the Microelectronics industry. The increase of its cost incited the industries to optimize the use of wafers. Recycling them thus became current : it is the case for test wafers or SOI wafers. However, recycling presents limits : during the cycles, wafers quality decreases more or less quickly. Impact of process cycles on wafers quality is thus very important. High-temperature annealing is the most detrimental process. To understand what phenomena are involved during annealing cycles, samples which have been cycled were studied by differents techniques. LST and TEM were quite particularly used, coupling global measurements of defects density and size with local measurements to determine defects characteristics. Interstitial oxygen loss during cycles were measured by FTIR. We found that every cycle is composed by a defects nucleation stage, mainly precipitates of silicon oxide, and a growth stage. The determination of morphology and precipitates stoichiometry was realized. The behavior of these precipitates was described by a model taking into account various phenomena : oxygen loss, point defects distribution and cycles effects (ramp up/down and high-temperature stage). The robustness of the model was also tested by comparing the predictions made with the results taken from the bibliography.

Liability for defects in business contracts The topic of my diploma thesis is liability for defects in business contracts, i.e. agreements that are even today being closed under the Czech Commercial Code, as amended. The liability for defects arising from the contract of purchase (or other types of contracts if needed) is a significant part of liability relationships, which may come into existence from obligations. Considering the upcoming recodification of private law, the focus of the thesis is the comparison of current and future legislation of the matter (Act No. 513/ 1991 Coll., the Commercial Code and Act.no 89/2012 Coll., the Civil Code being the current and future major regulations). The aim of the thesis is to identify the major modifications that are about to come into practise and at the same time to evaluate how these changes are going to influence the position of either party to a contract. I decided to systematize the comparison according to different aspects of the topic and I used the same system structuring the chapters. After the introduction and a brief historical summary I first presented the general characteristics of the liability for defects. In following chapters, these particular aspects have been examined: the definition of wrongful performance, the kinds of defects, the...

This thesis is about the design of the gating system and selection of proper alloy for defects free (grate bar) casting. The gating system plays an important role in casting manufacturing process. The gating system has different elements like pouring cup, sprue, well, runner, riser, and ingates. The function of the gating system is to provide molten metal to the mould cavity through different gating system elements.  Casting is a metal shaping process which is used to produce a cast component. The casting process depends upon the material, type of pattern, mould and various techniques like sand casting, investment casting, die casting, squeeze casting and lost foam casting. The sand mould casting process is used in this report. The casting process is used for making small to large cast parts, complicated shapes, and precision parts, etc. Making a casting without defects is an important requirement for its strength. The effective and efficient design of the gating system is necessary for making defects free castings. There are various defects like shrinkage cavity, porosity, pinholes, blowholes and incomplete filling that may occur in sand casting. The simulation software like Magma Soft and Nova Flow Solid are used to predict the possible defects in the casting. The uses of the simulation improve product quality and increase productivity. It also helps to reduce the rejection rate by identifying and controlling defects. This work is done at AB Bruzaholms Bruk as part of master thesis work at Jönköping University, Sweden. The company provides all the necessary data for simulation purposes. The design of the gating system is finalized as per company requirements and needs. The research questions that have been answered in this report based on the following points. 1) What does zero-defect mean? 2) Which is the best design among the ones that are prepared and simulated? 3) Which is the best alloy combination for casting parts that give defects free casting and better fluidity and filling?

The research explores the viability of using a small Unmanned Aerial Vehicle equipped with thermal imaging and lowlight camera to assess structural damage to steel girders. Damage assessments following natural disasters are daunting and arduous tasks that are resources intensive and dangerous. Unmanned aerial vehicles with remote sensing technology (UAV-RS) have been used in recent large-scale disaster events such as Hurricanes Katerina, Harvey, Irma, and Maria as well as others. Current assessment methods of structures include; inspectors physically conducting detailed and rapid surveys of damage with or without the assistance of special equipment, use of helicopters, satellite imagery, and new innovative methods using unmanned aerial vehicles with remote sensing technology. <div><br></div><div>The initial experiment utilized the S-BRITE facility at Purdue University. Two steel girders located at S-BRITE were used in the experiment with damages that render them structurally deficient. Experiments were conducted during hours of low visibility.</div><div><br></div><div>Most scientific studies have focused on using UAV-RS during hours of daylight. This research exploresthe use of UAV-RS during low-light conditions (i.e. early evening nautical and astronomical twilight, and night) for detecting global damage to steel girders. The goal is to present evidence for further study in the use of UAV-RS during low-light conditions for inspecting structures to include primary load bearing members. The research concluded that while the UAV-RS can detect global damage in low visibility conditions, further experiments in varying low-light conditions to include3D imaging and semi-autonomous inspectionusing computer vision are important for structural damage assessments.</div>

A survey of the optical and electron paramagnetic resonance (E.F.R.) absorption in a large number of diamonds from all major sources of production has revealed that perfect diamond is virtually non-existent. One or more of eleven different types of defect centres is found in each specimen. The presence or absence of nitrogen has long been known to give rise to the distinctive properties of Type I and Type II diamond.The present survey has shown that the form in which the nitrogen is present is significant. In most specimens the nitrogen is present in substitutional, non-paramagnetic platelet form, and these specimens were classified as Type Ia diamonds. A small group of transparent natural diamonds was found to contain dispersed paramagnetic nitrogen. The optical properties of these diamonds are unlike those of other diamond types and have hitherto not been reported. It is proposed that these diamonds be classified as Type lb.Three new systems of E.P.R. lines were found in Type Ib diamond. They are shown to be due to: (i) 13C atoms situated in different positions relative to the substitutional nitrogen, (ii) interaction of the small quadrupole moment of the nitrogen with the electric field gradient, and (iii) the presence of the l5N isotope. Synthetic diamonds are found to be exclusively of the Type Ib variety, whereas natural Type Ib diamond are rare exceptions. This is attributed to the growth history of the specimens. In order to investigate the defect centres associated with nitrogen in diamond, Type Ia and Ib diamond were irradiated with 0.78 MeV electrons. The effects observed were complicated and therefore led to a general investigation of irradiation damage, and the annealing of irradiation damage in diamond. In addition to the G.R.l and U.V. bands induced in all diamond by irradiation damage, another optical absorption feature, the N.D.l band, is found in all Type Ia diamond after irradiation and limited heating. It is suggested that the N.D.l centre arises from the combination of a carbon interstitial, and nitrogen in platelet form, and that the other primary product of irradiation damage, a vacancy, is responsible for both the G.R.l and U.V. bands. The N.D.l centre acts as an acceptor, the G.R.l centre as a donor. In the ionized state G.R.l is inactive in optical absorption; N.D.l is active. Electron transfer by thermal excitation results in the bleaching of G.R.l and the enhancement of N.J.l. Illumination with light in the N.D.l band causes electron transfer in the reverse direction, restoring band strengths to their former condition. A model is proposed which defines the energies within the forbidden gap of the ground and excited states of G.R.l and N.D.l. On heat treatment at temperatures of 500°C and above, the G.R.l band in all diamonds anneals out. The rate of annealing, however, is founa to be dependent on the nitrogen concentration. Thus in Type IIa diamond (which contains no nitrogen) G.R.l anneals very slowly, resulting in the formation of an absorption tail. In Type Ia diamond G.R.l anneals much faster (the actual rate depending on the nitrogen concentration), and two optical absorption bands, 5032A and H2, are formed. It is proposed that the vacancy in diamond becomes mobile at about 500° C, and that the G.R.l band in Type IIa diamond anneals because of the agglomeration of vacancies, which results in the formation of defects responsible for the absorption tail. In Type Ia diamond the nitrogen platelets are ideal sinks for vacancies, because the lattice on either side of a platelet is in compression. G.R.l therefore anneals more rapidly and 5032A centres are formed due to the combination of a vacancy and a nitrogen platelet. The nature of the H2 centre is much more obscure, but a possible explanation is that H2 centres are formed in addition, because the N.D.l centres (nitrogen platelets with embedded interstitials) also succeed in trapping vacancies. Vacancy/interstitial recombinations are prevented since these defects are pinned to different locations in the platelet region. In type Ib diamonds N. D.l centres were found to form at a lower temperature than in Type Ia diamond. It is suggested that the carbon interstitial in diamond is mobile, and combines with Substitutional nitrogen in isolated positions at temperatures below 250°C. In Type Ia specimens, where the nitrogen is segregated in platelets, this process only occurs at about 250°C, when the interstitial has enough kinetic energy to overcome the energy barrier preventing it from combining with nitrogen inside the platelet region where it will relieve strain. Because of the different substitutional nitrogen configuration, the energy levels of N.D.l centres in Type Ib diamond are such that electron transfer by thermal excitation from G.R.l to N.D.l occurs at room temperature. Most of the G.R.l centres are therefore permanently ionized and optically inactive. After heat treatment, a new band called the 6400A band is formed in irradiated Type Ib diamond. It is suggested that 6400A centres are formed by the combination of mobile vacancies with substitutional nitrogen in isolated positions. The 6400A band is therefore analogous to the 5032A band produced in Type Ia diamond. As expected no analogue of the H2 is formed in Type Ib diamond, as both an interstitial and a vacancy cannot co-exist in combination with a single isolated substitutional nitrogen atom.

Ce travail de thèse traite du développement d’une maille en titane imprimée en 3D pour le comblement des grands défauts osseux. La perte de substance osseuse intervient lors de traumatismes importants ou de chirurgies ablatives (dues à des infections ou à des cancers). Lorsque le défaut atteint un stade critique, la régénération osseuse est impossible et on assiste à une perte de fonction. Il faut alors recourir à des chirurgies reconstructrices comme par exemple la reconstruction mandibulaire. Aujourd’hui, la chirurgie communément pratiquée pour reconstruire la mandibule est la reconstruction par lambeaux libres de fibula, laquelle demande un investissement en temps et en ressource colossale pour des résultats mitigés avoisinant les 10% de taux d’échec. En nous basant sur la littérature internationale, nous avons développé une maille en titane imprimée en 3D pour remplacer l’autogreffe de fibula et ainsi limiter les effets secondaires liés au site donneur tout en offrant aux cellules mésenchymateuses des conditions optimales à la colonisation osseuse. D’un point de vue mécanique, cela consiste à abaisser la rigidité native du titane (110GPa) à une rigidité comprise entre 0,1 et 1 GPa. Pour réaliser cette maille, nous avons mis en place une méthodologie de design qui nous a permis d’innover en mettant au point un système de reprise de charge. Ce système de reprise de charge permet d’adapter la réponse de l’implant en fonction de l’intensité de la sollicitation, ce qui permet de combiner une rigidité faible et une résistance à l’effort élevée. Les différentes itérations de design ont été testées par éléments finis, jusqu’au motif final, lequel a été caractérisée lors de tests mécaniques réels en compression, en traction et en flexion. Remplissant la majorité du cahier des charges, nous avons ensuite mis au point une étude animale, laquelle sera réalisée ultérieurement. Enfin, cette étude a permis de mettre en évidence certaines limitations de l’impression 3D métallique, principalement liés aux surfaces non supportées que nécessitent la reprise de charge. Cette maille très prometteuse est aujourd’hui en cours d’optimisation pour permettre d’être rapidement mise à la disposition des patients. / The work detailed in this thesis is about a titanium 3D printed mesh for large bone defects. Large bone defects are often due to surgical resections, performed after a cancer or an infection. When the defect reach a critical size, bone regeneration is impossible and it often leads to the loss of function. When it happened, the wound need to be cured using reconstructive surgery. The mandibular reconstruction is one of the most performed reconstructive surgery. Nowadays, we reconstruct the mandible with the fibula free flap technique, which require huge amount of time and resources for mixed results (around 10% failure rate). Based on the international literature, we developed a titanium 3D printed mesh to replace the fibula autograft and limit its side effect while offering to mesenchymal cells optimal growing environment. On the mechanical point of view, this environment requires to decrease the titanium initial rigidity from 110GPa to a range between 0.1 and 1GPa. In order to achieve that goal, we have developed a design methodology that lead us to innovation. We developed a load restauration system that allow us to combine low rigidity and high resistance. In order to find the final design, we used finite element modeling. Then, the final design have been tested mechanically in compression, traction and flexion. Because most of the requirements were reached, we designed an animal study which should take place in the next years. Eventually, we discovered some limitation for metallic 3D printing, essentially due to unsupported areas required for the load restauration. This innovative mesh is today optimized in order to be rapidly given to patients in the need.