Probabilities and Materials

to the Workshop.- 1. Synthetic texts by chairmen.- Probability and materials: data subjective and objective modeling A Synthesis paper.- Introductory remarks to Session 2: Tools.- Models: micro-macro. The Synthetic paper.- Failure and probabilities at various scales. A Synthetic paper.- Probabilistic and stochastic models. A Synthetic paper.- Numerical simulations and applications — an introduction.- 2. Data subjective and objective modeling.- Application of probabilistic approaches in geotechnical engineering and engineering geology.- The variability of geotechnical parameters.- Small scale variability in clay samples.- Classification logic and correlation between soils parameters: application to an elasto-plastic law.- Variability of the mechanical properties of wood: randomness and determinism.- Stochastic modeling of lumber properties.- Experimental study on the scale effect on concrete in tension.- 3. Tools.- Fractals, renormalization group theory and scaling laws for strength and toughness of disordered materials.- Size effect and stochastic nonlocal damage in quasibrittle materials.- Role of disorder in brittle fracture.- Blocking problems in the analysis of random fields.- Experimental designs for an experimental modeling of material or structural tests.- Report on the first round table session: tools.- 4. Models: Micro-macro.- Morphological random media for micromechanics.- Effective elastic properties of solids with randomly located defects.- Experimental characterization, mircomechanical simulation and spatio-stochastic approach of concrete behaviours below the representative volume.- Micromechanical model for randomly packed granules.- A Voronoi cell finite element model for random heterogeneous media.- Random stress fields within granular media.-Statistical modeling for the flow of short fibers composites.- Modeling granular fabric by tensors and their statistical test.- 5. Models: cracking and fracture surfaces.- Statistical fracture mechanics — basic concepts and numerical realization.- A stochastic model for controlled discontinuous crack growth in brittle materials.- Crack pattern related universal constants.- Crack growth simulations in concrete and rock.- Report on the second round table session: models for fracture.- 6. Probabilistic failure models.- Probabilistic models and image analysis: tools to describe liquid phase sintered materials.- Probabilistic failure predictions in brittle material under multiaxial loading.- Volume and stress heterogeneity effects in ceramics and fiber reinforced ceramics.- Applicability of a Weibullian model of fracture by application of a slowly gradual load.- A stochastic model to describe probabilistic aspects of damage accumulation in concrete.- 7. Numerical simulations and practical aspects of material modeling.- Stochastic field theory in materials engineering.- Stochastic approaches for damage evolution in quasi-brittle materials.- How to manage the spatial variability of natural soils.- Statistical analysis of the mechanical properties of masonry walls by computational models.- A report on round table 3: applications.