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This paper aims to investigate the connection between clearance cairns and burial cairns. From this point of view I try to answer the questions why they are built in the same area and why these two different types of cairns are so similary constructed. Further I consider different theories about mounds of fire-cracked stones.

For Laplace's eigenvalue problems, this thesis presents new algorithms of the Trefftz method (i.e. the boundary approximation method), which solve the Helmholtz equation and then use a iteration process to yield approximate eigenvalues and eigenfunctions. The new iteration method has superlinear convergence rates and gives a better performance in numerical testing, compared with the other popular methods of rootfinding. Moreover, piecewise particular solutions are used for a basic model of eigenvalue problems on the unit square with the Dirichlet condition. Numerical experiments are also conducted for the eigenvalue problems with singularities. Our new algorithms using piecewise particular solutions are well suited to seek very accurate solutions of eigenvalue problems, in particular those with multiple singularities, interfaces and those on unbounded domains. Using piecewise particular solutions has also the advantage to solve complicated problems because uniform particular solutions may not always exist for the entire solution domain.

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Doctor of Philosophy / Department of Civil Engineering / Hayder A. Rasheed / This study is conducted because of the lack of an existing theory to accurately predict the diagonal tension cracking in shallow reinforced concrete beams. A rational approach is followed to numerically derive the shear stress profile across the depth of the beam in cracked beams based on the smeared crack approach. Furthermore, the determined shear stress distribution coupled with the normal axial stress distribution are used to predict the principal stress variation across the depth and along the shear span using standard Mohr’s circle. Following a biaxial stress cracking criterion, the likely diagonal tension cracks along their orientation profile are predicted. Furthermore, this study is conducted to provide a mechanics-based understanding of the shear stress distribution in cracked reinforced concrete. This approach utilizes the transversal shear differential equation to evaluate the shear stress at any given depth by the variation of the axial stress distribution within an infinitesimal beam segment at that depth. In addition, this study presents a more accurate representation of the change in the strain profile parameters with respect to the sectional applied moment. Furthermore, the dowel action effect is derived to illustrate its significance on the shear stress distribution at various stages of loading.

Ce travail s’inscrit dans la thématique classique en mécanique de l’endommagement de milieux polycristallin. Il a pour but d’étudier et de modéliser le comportement thermique et mécanique d’un matériau énergétique. Ce matériau, dont le comportement en compression est quasi-fragile, présente en particulier un coefficient de dilatation thermique qui diminue lors de cycles de refroidissement-réchauffement.L’étude repose sur un modèle morphologique de type Johnson-Mehl avec grains non convexes et une méthode numérique à champ complet par transformée de Fourier rapide. La précision de ces méthodes en termes de réponse effective et de champs en pointe de fissure est étudiée par comparaison avec des éléments finis. Plusieurs types de microstructures sont ensuite étudiés de façon heuristique par ordre croissant de complexité.Le comportement élastique du polycristal non endommagé, calculé par méthode FFT, surestime celui observé expérimentalement. L’ajout de liant et de porosité dans le matériau n’expliquant pas le comportement mécanique expérimental, on étudie l’influence de différentes populations de fissures.Seule l’ajout de fissures intergranulaires permet de rendre compte du comportement effectif du matériau à l’état initial. La chute du coefficient de dilatation thermique est prédite par méthode FFT dans le cas de fissures dans le plan graphitique des monocristaux, dont l’existence est confirmée par des images MEB. / This work aims to study the thermal and mechanical behavior of an energetic polycrystal. This material displays a quasi-brittle behavior and its thermal dilation coefficient decreases when it undergoes cooling-heating cycles.The study relies on the use of a Johnson-Mehl tessellation model which has non-convex grains, and a full-field numerical method based on the Fourier transform. The accuracy of such methods concerning cracked media are determined by comparison with Finite Elements computations. The numerical tool is then used to investigate different microstructural assumptions, from the simplest to the most sophisticated.The first computation is that of an undammaged polycrystal, which overestimates the overall mechanical properties. The attempt to account for porosity and the presence of binder gives interesting results, but the latter are not enough to reproduce the experimental behavior.Finally, different types of microcracks are investigated and two major conclusions are drawn. First, in its initial state, the material contains intergranular cracks, that are uncorrelated to the local microstructure. Such cracks can lower the elastic moduli and leave the thermal properties unaffected. To obtain a decrease in terms of thermal dilation coefficient, one must consider families of cracks which are correlated to the local crystal orientation, especially along the weak plane of the crystal.

This study proposes an approach for solving density-based multi-material topology optimization of cracked structures using Peridynamics. The alternating active-phase algorithm is utilized to transform the multi-material problem into a series of binary phase topology optimization sub-problems. Instead of the conventional mesh-based methods, the Peridynamics theory (PD) is used as a tool to model the behaviour of the materials and solve for the displacement field. The most significant advantage of PD is its ability to model discontinuities in a relatively straightforward manner. Thus, in the present work, the effect of cracks as a discontinuity is investigated on the optimal multi-material topologies. The Solid Isotropic Material with Penalty (SIMP) method is utilized to define the material properties as a function of the design variables. Also, the optimization problem is solved through the Optimality Criteria (OC) approach. The proposed method is compared to the results reported in the literature by executing three numerical examples that investigate the effect of the direction of an interior crack on the optimal topologies. Moreover, the efficiency of the proposed approach is verified by solving several examples where we aim at minimizing the compliance of the structure with and without initial cracks. / Graduate

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Heaps of fire-cracked stone is an archaeological site category frequently found in Sweden. The heaps were constructed by piling a massive amount of deposited fire-cracked stones and occasionally they contain artefacts, for example, grindstones, ceramics or bones from both humans and animals. The heaps are sometimes also constructed with complex inner stone patterns in forms of e.g. circles and spirals. The heaps have been found all over Sweden, but the largest concentration is associated with the county of Uppland, north of Stockholm in eastern Sweden. In general, the structures have been linked chronologically to the Bronze Age (1800 B.C.–500 B.C.), although the heaps might be one of the least understood features of Scandinavian prehistory, as a result of their complex and varying content and spatial location. The remains are thoroughly debated, and the interpretation of them varies, ranging from graves to household indications, from sacral to profane, from piles of waste to markers of claimed land. The interpretations of the fire cracked stone heaps have mainly been made by comparing the contents of the heaps with finds from the surrounding archaeological landscape.                  In this study, the heaps will be analysed by using a landscape perspective by which they will be examined in relation to dynamic high-resolution shoreline reconstructions, vegetation and local topography. By examining the heaps by applying a high-resolution landscape model, suggests that their placement patterns are strongly connected to past shorelines. The analysis has in turn resulted in a non-prejudicial dating method for the heaps. The shoreline model was in the next step tested by a comparison to 118 published 14C-dates associated with fire-cracked stone heaps by using Kernel Density Estimations (KDE). The main result of the study is that the high-resolution shoreline model, in combination with KDE, provides an effective dating method for heaps of fire-cracked stone, which in the extension suggests an alternative motive for the construction of the heaps.

In this thesis, the reliability of small wind turbines is studied. Both conventional reliability analysis methods and the novel Bayesian models (Bayesian Hierarchical Modelling (BHM)) are used to analyse the reliability performance of the Gaia-Wind turbines / assemblies and components of the Gaia-Wind turbine. In Chapter 2, a simple failure mode and effect analysis (FMEA) is conducted. An approximated risk priority number (RPN) is calculated for each failure mode and assembly. The assembly that is identified to have the highest RPN is the "Rotor and Blade Assembly". As for the failure modes, "Blade Split" and "Generator Failure" failure modes are identified to have the highest RPNs. In Chapter 3, the conventional methods including the Kaplan-Meier Analysis, Weibull Plot Analysis, Homogeneous Poisson Process (HPP) Analysis, and Crow-AMSAA (Non-Homogeneous Poisson Process (NHPP)) Analysis are used to study the reliability performance of the generic turbine and the critical assemblies based on the approximated RPNs. By using these conventional methods, the L10 life can be approximated (Kaplan-Meier), the main failure modes of an assembly can be identified (Weibull Plot Analysis), the annual failure rate can be estimated (HPP), and the number of future failures can be predicted (NHPP). These methods have been implemented in a novel on-line interactive platform, named ReliaOS (Chapter 7), which effectively facilitates the process of converting the information in the warranty record to the meaningful reliability information. Three novel BHM models are proposed and implemented in WinBUGS (an open source software), namely the repair model, the environmental model, and the informative prior framework, (Chapter 5 and Chapter 6). The repair model is used to quantify the repair effectiveness of a generic repair action. The model is applied on both the turbine level as well as the component level. At the turbine level, the annual failure rate of the generic turbine is predicted to be 0:159 per turbine per year at the first year. Individual turbines can be categorised into different quality levels ("Good", "Good- Normal", "Normal", "Normal-Bad", and "Bad") based on the predicted annual failure rate values. At the component level, "Blade split", "Cracked Frame", and "Generator Failure" failure modes are studied. These are the most critical failure modes for "Rotor and Blade Assembly", "Tower, Foundation, and Nacelle", and "Generator" assemblies respectively. "Cracked Frame" failure mode is predicted to have the lowest characteristic life and a slightly increasing failure rate trend. The repair effectiveness of the "Cracked Frame" failure mode is identified to be slightly ineffective. The environmental model quantifies the influence of three environmental covariates, i.e. AverageWind Speed (AWS), Turbulence Intensity (TI), and Terrain Slope (TS). These environmental covariates are all identified to have negative impact to the reliability of the generic turbine, where TI and AWS have more pronounced impact than TS. The informative prior BHM framework offers a way of quantifying the reliability of the drivetrain frame (which corresponds to the "Cracked Frame" failure mode) in a situation where zero failure instance is recorded for the new drivetrain frame design. This is achieved by jointly considering the simulation results from SOLIDWORKS as the prior information into the BHM model. This thesis strives to understand the reliability performance of the Gaia-Wind small wind turbine from different perspectives, i.e. the generic turbine, individual turbines, and the components, by the use of conventional methods and the proposed BHM models. The novel on-line reliability platform, ReliaOS, mitigates the difficulties in converting the information in the data to the reliability information for the end users. It is believed that the proposed BHM models and the ReliaOS on-line reliability analysis platform will improve the reliability analysis of small-wind turbines.