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- 2005 (4) (remove)
In displacement oriented methods of structural mechanics may static and dynamic equilibrium conditions lead to large coupled nonlinear systems of equations. In many cases they are solved iteratively utilizing derivatives of Newton's method. Alternatively, the equations may be expressed in terms of the Karush-Kuhn-Tucker conditions of an optimization problem and, therefore, may be solved using methods of mathematical programming. To begin with, the work deals with the fundamentals of the formulation as optimization problem. In particular, the requirements of material nonlinearity and contact situations are analyzed. Proximately, an algorithm is implemented which utilizes the usually sparse structure of the Hessian matrix, whereby particularly the convergence behaviour is analyzed and adjusted. The implementation was tested using examples from statics and dynamics of large systems. The results are verified considering the accuracy comparing alternative solutions (e.g. explicit methods). The potential areas of application is shown and the efficiency of the method is evaluated.
Central point of this study is to evaluate stiffness properties of pavement, specifically the E or G- modulus determined by different testing methods. Stiffness of soil is both stress and strain dependent property and otherwise different methods usually affect the material in different ways. The Young’s modulus E0 and shear modulus G0 correspond to the very small strain level are regarded as the initial or maximal stiffness of the relevant stress-strain curves of a given material. The modulus decay curve is called the degradation curve, which also reviewed in this study. With the results of different measurement methods applied for a reclaimed mining site in Klettwitz for determining of stiffness parameter of subsoil, author have tried to find a unification between the results considering the relationship between stiffness parameter and the range of strain levels. The testing methods executed at plant S9 in Klettwitz-Südfeld are: laboratory oedometer test, static plate load test, dynamic plate load test, and seismic testing methods (spectral analysis of surface wave, SASW). Some results getting from this study are: one receives different absolute values of stiffness parameter from different testing methods. The reason is different testing methods produce different range of strain levels in soil during their execution. Conventional and non-destructive testing methods should be combined together for investigating of subsoil characteristics. This means, the soil parameters must be adjusted to the current range of strain level. Especially for settlement calculation it is recommended that different values of stiffness modulus, Es, resulted by different testing methods should be simultaneously utilized along the depth beneath loading surface. Accuracy for determining of stiffness degradation curves depends a lot on the determination of maximal stiffness parameters (E0, G0) at the range of very small strain level, and it still requires much further studies.
Aufgabe der Masterarbeit war es, eine Eibnführung in die WRRL und deren Implementierung zu geben sowie das Darstellen erster Umsetzungsschritte in Norwegen.
The hydraulic properties of the polymer-enhanced bentonite-sand mixtures (PEBSMs) investigated in this study consisted of the water retention behaviour (or the soil-water characteristic curve (SWCC)) and the saturated and unsaturated coefficients of permeability. The SWCCs of the compacted polymer-enhanced bentonite-sand mixtures were measured using two techniques; namely, axis-translation technique and vapour equilibrium technique. The results obtained from both methods were combined to establish a single SWCC for each specimen. The saturated coefficient of permeability of the material was measured using the constant-head flexible wall permeameter method. The unsaturated coefficient of permeability was computed from the SWCCs and the saturated permeability values using the statistical model. The study revealed that the wetting curves for the PEBSM and clay are above the drying curves. The fact is thought be due to the specimens being not saturated before starting the drying tests. Since the specimens are expensive soil such a trend can be expected. The permeability deduced from the oedometer test data over-estimates the actual water flow rate resulting in a higher computed saturated coefficient of permeability compared to the measured values. The nets of polymer and bentonite clusters are thought to retard the flow of water during the direct measurement. However, the net of polymer and bentonite clusters are compressed during loading and rebound during unloading. Hysteresis effect was found for the PEBSMs in the permeability versus degree of saturation curve. This is due to possible difference in the spatial distribution of water in the specimens depending whether the specimens were on drying or wetting path.