Statistical Two-Scale Method for Strength Prediction of Composites with Random Distribution and Its Applications

Junzhi Cui (), X. G. Yu, Fei Han and Yan Yu
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Junzhi Cui: CAS, Academy of Mathematics and System Sciences
X. G. Yu: CAS, Academy of Mathematics and System Sciences
Yan Yu: Northwestern Polytechnical University, School of Science

A chapter in Computational Mechanics, 2007, pp 60-79 from Springer

Abstract: Abstract A Statistical two-order and Two-Scale computational Method (STSM) based on two-scale homogenization approach is developed and successfully applied to predicting the strength parameters of random particle reinforced composites. Firstly, the probability distribution model of composites with random distribution of a great number of particles in any ε - size statistic screen, as ε- size cell, is described. And then, the stochastic two-order and two-scale computational expressions for the strain tensor in the structure, which is made from the composites with random distribution model of ε - size cell, are formulated in detail. And the effective expected strength and the minimum strength for the composites with random distribution are expressed, and the computational formulas of them and the algorithm procedure for strength parameter prediction are shown. Finally, some numerical results of its application to the random particle reinforced composites, the concrete with random distribution of a great number of particles in any ε- size statistic screen, are demonstrated, and the comparisons with physical experimental data are given. They show that STSM is validated and efficient for predicting the strength of random particle reinforced composites.

Keywords: Statistical two-scale computational method; strength prediction; composites with random particle distribution; meso-scale cell (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-75999-7_6

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