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Numerical homogenization of N ‐component composites including stochastic interface defects
Author(s) -
Kamiński Marcin,
Kleiber Michał
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000220)47:5<1001::aid-nme814>3.0.co;2-v
Subject(s) - homogenization (climate) , probabilistic logic , classification of discontinuities , finite element method , interphase , statistical model , mathematics , composite material , materials science , computer science , structural engineering , mathematical analysis , engineering , biodiversity , ecology , statistics , genetics , biology
The purpose of this paper is to present a mathematical formulation and numerical analysis for a homogenization problem of random elastic composites with stochastic interface defects. The homogenization of composites so defined is carried out in two steps: (i) probabilistic averaging of stochastic discontinuities in the interphase region, (ii) probabilistic homogenization by extending the effective modules method to media random in the micro‐scale. To obtain such an approach the classical mathematical homogenization method is formulated for n‐component composite with random elastic components and implemented in the FEM‐based computer program. The article contains also numerous computational experiments illustrating stochastic sensitivity of the model to interface defects parameters and verifying statistical convergence of probabilistic simulation procedure. Copyright © 2000 John Wiley & Sons, Ltd.