On accuracy improvement of microscopic stress/stress sensitivity analysis with the mesh superposition method for heterogeneous materials considering geometrical variation of inclusions
On accuracy improvement of microscopic stress/stress sensitivity analysis with the mesh superposition method for heterogeneous materials considering geometrical variation of inclusions
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DOI：
10.1002/nme.6233
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发表时间：
2019-10
影响因子：
2.9
通讯作者：
S. Sakata;Y. Chan;Y. Arai
中科院分区：
文献类型：
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作者：
S. Sakata;Y. Chan;Y. Arai
本文提出了一种考虑夹杂物几何变化的非均质材料微观应力分析/应力敏感性分析精度的新方法——基于网格叠加法。特别地，该分析考虑了非均质材料中夹杂物随局部网格位置变化而发生的位置变化，是一个目标问题。在考虑复合材料微观几何变化的多尺度随机应力分析的可靠性评估中，必须精确地解决这一问题。夹杂物几何随机变化对应力场的影响不可忽略；此外，有限元网格必须进行大量更新，才能有效地实现应力场的评估。因此，采用基于网格叠加法的方法。本文讨论了网格叠加法在考虑夹杂物几何变化的应力/应力敏感性分析中存在的问题，提出了基于改进公式和重新定位分析的改进方法。提出的方法应用于与复合材料微观结构相关的非均质材料的应力/应力敏感性分析。结合数值结果，讨论了该方法的有效性。
In this paper, a new method is proposed for improving accuracy of microscopic stress analysis/stress sensitivity analysis of heterogeneous materials considering a geometrical variation of inclusions using the mesh superposition method‐based approach. In particular, the analysis, which considers a location variation of inclusions in heterogeneous materials with location change of a local mesh, is a target problem. This problem must be accurately solved for, eg, reliability evaluation with the multiscale stochastic stress analysis considering a microscopic geometrical variation of composites. The influence of a geometrical random variation of inclusions on the stress field is not negligible; further, a finite element mesh must be substantially updated for the evaluation of stress field for a significant realization. Therefore, the mesh superposition method based approach is adopted. In this paper, a problem point in the stress/stress sensitivity analysis considering the geometrical variation of inclusions when using the mesh superposition method is discussed, and improved approaches based on an improved formulation and a relocalization analysis are proposed. The proposed approaches are applied to a stress/stress sensitivity analysis of a heterogeneous material associated with a microstructure of composites. With the numerical results, effectiveness of the proposed approach is discussed.