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Probabilities and Materials

Tests, Models and Applications

  • Book
  • © 1994

Overview

Editors:
  1. D. Breysse

    1. L.M.T. Cachan, University of Marne-la-Vallée, France

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Part of the book series: NATO Science Series E: (NSSE, volume 269)

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Table of contents (43 chapters)

  1. Report on the First Round Table Session: Tools

    • Luc Da Venne, Jean-Pierre Vilotte
    Pages 209-212

  2. Morphological Random Media for Micromechanics

    • D. Jeulin
    Pages 213-224

  3. Effective Elastic Properties of Solids with Randomly Located Defects

    • M. Kachanov, I. Tsukrov, B. Shafiro
    Pages 225-240

  4. Experimental Characterization, Micromechanical Simulation and Spatio-Stochastic Approach of Concrete Behaviours Below the Representative Volume

    • C. Huet
    Pages 241-260

  5. Micromechanical Model for Randomly Packed Granules

    • Ching S. Chang
    Pages 261-271

  6. A Voronoi Cell Finite Element Model for Random Heterogeneous Media

    • Somnath Ghosh, Suresh Moorthy
    Pages 273-284

  7. Random Stress Fields within Granular Media

    • G. Auvinet
    Pages 285-291

  8. Statistical Modeling for the Flow of Short Fibers Composites

    • A. Poitou, F. Chinesta, F. Olmos
    Pages 293-303

  9. Modeling Granular Fabric by Tensors and their Statistical Test

    • J. L. Chameau, B. Muhunthan
    Pages 305-319

  10. Statistical Fracture Mechanics — Basic Concepts and Numerical Realization

    • A. Chudnovsky, M. Gorelik
    Pages 321-338

  11. A Stochastic Model for Controlled Discontinuous Crack Growth in Brittle Materials

    • Boris I. Kunin
    Pages 339-360

  12. Crack Pattern Related Universal Constants

    • G. Frantziskonis
    Pages 361-375

  13. Crack Growth Simulations in Concrete and Rock

    • Jan G. M. Van Mier, Adri Vervuurt, Erik Schlangen
    Pages 377-388

  14. Report on the Second Round Table Session: Models for Fracture

    • A. Chudnovsky, F. Hild
    Pages 389-401

  15. Probabilistic Models and Image Analysis: Tools to Describe Liquid Phase Sintered Materials

    • M. Coster, J.-L. Quenec’h, Chermant, D. Jeulin
    Pages 403-414

  16. Probabilistic Failure Predictions in Brittle Material Under Multiaxial Loading

    • J. Lamon
    Pages 415-426

  17. Volume and Stress Heterogeneity Effects in Ceramics and Fiber-Reinforced Ceramics

    • F. Hild
    Pages 427-438

  18. Applicability of a Weibullian Model of Fracture by Application of a Slowly Gradual Load

    • P. Kittl, G. Diaz, V. Martinez
    Pages 439-449

  19. A Stochastic Model to Describe Probabilistic Aspects of Damage Accumulation in Concrete

    • H. Mihashi
    Pages 451-460

  20. Stochastic Field Theory in Materials Engineering

    • M. Shinozuka
    Pages 461-489
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Keywords

About this book

Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered, however, and it is time to present such material in a coherent and up-to-date form. Probabilities and Materials undertakes this task, and also defines the great tasks that must be tackled in coming years.
For engineers and researchers dealing with materials, geotechnics, solid mechanics, soil mechanics, statistics and stochastic processes. The expository nature of the book means that no prior knowledge of statistics or probability is required of the reader. The book can thus serve as an excellent introduction to the nature of applied statistics and stochastic modelling.

Editors and Affiliations

  • L.M.T. Cachan, University of Marne-la-Vallée, France

    D. Breysse

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