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

In: Computational Mechanics

Author

Listed:
  • Junzhi Cui

    (CAS, Academy of Mathematics and System Sciences)

  • X. G. Yu

    (CAS, Academy of Mathematics and System Sciences)

  • Fei Han
  • Yan Yu

    (Northwestern Polytechnical University, School of Science)

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.

Suggested Citation

  • Junzhi Cui & X. G. Yu & Fei Han & Yan Yu, 2007. "Statistical Two-Scale Method for Strength Prediction of Composites with Random Distribution and Its Applications," Springer Books, in: Computational Mechanics, pages 60-79, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_6
    DOI: 10.1007/978-3-540-75999-7_6
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