A Microscopic failure probability analysis of a unidirectional fiber reinforced composite material via a multiscale stochastic stress analysis for a microscopic random variation of an elastic property
A Microscopic failure probability analysis of a unidirectional fiber reinforced composite material via a multiscale stochastic stress analysis for a microscopic random variation of an elastic property
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DOI：
10.1016/j.commatsci.2012.05.008
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发表时间：
2012-09
影响因子：
3.3
通讯作者：
S. Sakata;F. Ashida;K. Enya
中科院分区：
文献类型：
--
作者：
S. Sakata;F. Ashida;K. Enya
本文讨论了考虑到部件材料弹性性能和强度的微观随机性的复合材料微观结构的微观失效概率分析。由于构件材料弹性性能的微观随机变化会对微观应力场产生影响，因此应研究微观随机变化对复合材料微观失效概率的影响。在分析中，采用了蒙特卡罗模拟、基于扰动的随机均匀化方法和随机多尺度应力分析方法。通过随机均质化分析，使用随机多尺度应力分析方法来估计微观应力和微观失效概率的随机变化。通过数值算例，通过多尺度应力分析讨论了微观随机变化对微观失效概率的影响。此外，通过与蒙特卡罗模拟的比较，研究了基于扰动的方法的准确性。
This paper discusses a microscopic failure probability analysis of a microstructure in a composite material considering a microscopic randomness of both elastic properties and strength of component materials. Since a microscopic random variation of an elastic property of component materials will have an influence on a microscopic stress field, the influence of a microscopic random variation on a microscopic failure probability of a composite material should be investigated. For the analysis, the Monte-Carlo simulation, the perturbation-based stochastic homogenization method and a stochastic multiscale stress analysis method are employed. A random variation of the microscopic stresses and microscopic failure probability are estimated with the stochastic multiscale stress analysis methodology via the stochastic homogenization analysis. With the numerical examples, the influence of the microscopic random variation on the microscopic failure probability thorough the multiscale stress analysis is discussed. Also, accuracy of the perturbation-based approach is investigated with comparison of the Monte-Carlo simulation.