MATHICSE Technical Report : Quantifying uncertainties in contact mechanics of rough surfaces using the Multilevel Monte Carlo method
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All surfaces, whether they are natural or man-made, exhibit a certain amount of roughness on a range of length scales. This surface roughness evidently plays a major role in tribological processes, like friction and wear between two surfaces sliding agains ...
Friction is one of the most important topics in contact mechanics and the real contact area plays a significant role in determining the emergent friction properties. We study the detachment of the original contact clusters during the surface sliding. The e ...
Understanding the diffusion patterns of sequences of interdependent events is a central question for a variety of disciplines. Temporal point processes are a class of elegant and powerful models of such sequences; these processes have become popular across ...
We study a stochastic program where the probability distribution of the uncertain problem parameters is unknown and only indirectly observed via finitely many correlated samples generated by an unknown Markov chain with d states. We propose a data-driven d ...
The surface of aqueous solutions of simple salts was not the main focus of scientific attention for a long while. Considerable interest in studying such systems has only emerged in the past two decades, following the pioneering finding that large halide io ...
Functional time series is a temporally ordered sequence of not necessarily independent random curves. While the statistical analysis of such data has been traditionally carried out under the assumption of completely observed functional data, it may well ha ...
Simulation-based optimization models are widely applied to find optimal operating conditions of processes. Often, computational challenges arise from model complexity, making the generation of reliable design solutions difficult. We propose an algorithm fo ...
Despite the development of hydrogels with a wide range of mechanical properties, insufficient adhesion between these materials and biological surfaces limits their use in the biomedical applications. Most recent advancements in highly adhesive hydrogel sys ...
Small-scale surface roughness (on an area of about 0.5 m x 0.5 m) affects remote sensing retrieval algorithms and radiative transfer models, yet data of snow and ice surface roughness over sea ice is scarce. Microwave emissivity, important for satellite re ...
This study presents an improvement of an existing tribocorrosion model developed for passive CoCrMo alloys. This model is based on an empirical formalism established by Duncan Dowson in his pioneering works on the relation between wear and elasto-hydrodyna ...