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There are numerous technological materials - such as metals, polymers, ceramics, concrete, and many others - that vary in properties and serviceability. However, the almost universal common theme to most real materials is that their properties depend on the scale at which the analysis or observation takes place and at each scale "probabilities" play an important role. Here the word "probabilities" is used in a wider than the classical sense. In order to increase the efficiency and serviceability of these materials, researchers from NATO, CP and other countries were brought together to exchange knowledge and develop avenues for progress and applications in the st 21 century. The workshop began by reviewing progress in the subject area over the past few years and by identifying key questions that remain open. One point was how to observe/measure material properties at different scales and whether a probabilistic approach, at each scale, was always applicable and advantageous. The wide range of materials, from wood to advanced metals and from concrete to complex advanced composites, and the diversity of applications, e.g. fatigue, fracture, deformation, etc., were recognized as "obstacles" in identifying a "universal" approach.

Materials science. --- Statistical physics. --- Dynamical systems. --- Mechanics. --- Characterization and Evaluation of Materials. --- Complex Systems. --- Classical Mechanics. --- Statistical Physics and Dynamical Systems. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Material science --- Physical sciences --- Statistical methods --- Probabilities. --- Materials --- Mathematical models. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Materials. --- Fatigue, mechanical --- Fracture (materials) --- Granular materials --- Microstructure --- Physicochemical simulation --- Porous materials --- Scale (deposits)