Probabilities and Materials: Tests, Models and Applications

Front Matter....Pages i-x
Introduction to the Workshop ProbaMat....Pages 1-8
Probability and Materials: Data Subjective and Objective Modeling....Pages 9-16
Introductory Remarks to Session 2: Tools....Pages 17-22
Models: Micro-Macro....Pages 23-28
Failure and Probabilities at Various Scales....Pages 29-38
Probabilistic and Stochastic Models....Pages 39-43
Numerical Simulation and Practical Aspects of Material Modeling — An Introduction....Pages 45-50
Application of Probabilistic Approaches In Geotechnical Engineering and Engineering Geology....Pages 51-68
The Variability of Geotechnical Parameters....Pages 69-80
Small Scale Variability in Clay Samples....Pages 81-94
Classification Logic and Correlation between Soils Parameters: Application to an Elasto-Plastic Law....Pages 95-108
Variability of the Mechanical Properties of Wood: Randomness and Determinism....Pages 109-118
Stochastic Modeling of Lumber Properties....Pages 119-129
Experimental Study on the Scale Effect on Concrete in Tension....Pages 131-139
Fractals, Renormalization Group Theory and Scaling Laws for Strength and Toughness of Disordered Materials....Pages 141-150
Size Effect and Stochastic Nonlocal Damage in Quasi-Brittle Materials....Pages 151-161
Role of Disorder in Brittle Fracture....Pages 163-175
Blocking Problems in the Analysis of Random Fields....Pages 177-195
Experimental Designs for an Experimental Modelling of Material or Structural Tests....Pages 197-208
Report on the First Round Table Session: Tools....Pages 209-212
Morphological Random Media for Micromechanics....Pages 213-224
Effective Elastic Properties of Solids with Randomly Located Defects....Pages 225-240
Experimental Characterization, Micromechanical Simulation and Spatio-Stochastic Approach of Concrete Behaviours Below the Representative Volume....Pages 241-260
Micromechanical Model for Randomly Packed Granules....Pages 261-271
A Voronoi Cell Finite Element Model for Random Heterogeneous Media....Pages 273-284
Random Stress Fields within Granular Media....Pages 285-291
Statistical Modeling for the Flow of Short Fibers Composites....Pages 293-303
Modeling Granular Fabric by Tensors and their Statistical Test....Pages 305-319
Statistical Fracture Mechanics — Basic Concepts and Numerical Realization....Pages 321-338
A Stochastic Model for Controlled Discontinuous Crack Growth in Brittle Materials....Pages 339-360
Crack Pattern Related Universal Constants....Pages 361-375
Crack Growth Simulations in Concrete and Rock....Pages 377-388
Report on the Second Round Table Session: Models for Fracture....Pages 389-401
Probabilistic Models and Image Analysis: Tools to Describe Liquid Phase Sintered Materials....Pages 403-414
Probabilistic Failure Predictions in Brittle Material Under Multiaxial Loading....Pages 415-426
Volume and Stress Heterogeneity Effects in Ceramics and Fiber-Reinforced Ceramics....Pages 427-438
Applicability of a Weibullian Model of Fracture by Application of a Slowly Gradual Load....Pages 439-449
A Stochastic Model to Describe Probabilistic Aspects of Damage Accumulation in Concrete....Pages 451-460
Stochastic Field Theory in Materials Engineering....Pages 461-489
Stochastic Approaches for Damage Evolution in Quasi-Brittle Materials....Pages 491-503
How to Manage the Spatial Variability of Natural Soils....Pages 505-516
Statistical Analysis of the Mechanical Properties of Masonry Walls by Computational Models....Pages 517-528
A Report on Round Table 3: Applications....Pages 529-534
Back Matter....Pages 535-538