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Sensitivity of responses of three micro-mechanics approaches to changes in unit cell configuration and inclusion shape

机译：三种微力学方法对晶胞结构和夹杂物形状变化的响应敏感性

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摘要

We use three micromechanics approaches, namely, the method of cells (MoCs), the Fourier series approach (FSA) and the transformation field analysis (TFA) to delineate the sensitivity of their predictions to changes in the unit cell configuration. The three approaches are formulated to have identical final expressions relating the local sub-cell strains to the homogenized strains in the unit cell. The cubic-edge, the hexagonal close-packed and the cubic-diagonal unit cell configurations are employed to study the elasto-plastic response of a Boron-Aluminum fiber reinforced composite under transverse loading, and compare present results with Brockenbrough et al.'s findings who used the finite element method. The elasto-plastic response predicted from the cubic-edge unit-cell shows the most hardening while that from the cubic-diagonal unit-cell the least hardening. Of the three approaches employed, the elasto-plastic response predicted by the MoCs is closest to that of Brockenbrough et al. The effect of fiber cross section on the elasto-plastic response analyzed using only the TFA approach is found to be significant for both elastic constants and plastic hardening.
机译：我们使用三种微力学方法，即细胞方法（MoCs），傅里叶级数方法（FSA）和变换场分析（TFA）来描述其预测对晶胞结构变化的敏感性。三种方法被制定为具有相同的最终表达，将局部亚细胞株与单位细胞中的均质株联系起来。立方边，六方密堆积和立方对角晶胞结构用于研究硼铝纤维增强复合材料在横向载荷下的弹塑性响应，并将当前结果与Brockenbrough等人的研究进行比较。使用有限元方法的发现。从立方边晶胞预测的弹塑性响应显示出最强的硬化，而从立方对角晶胞预测的弹塑性响应则显示出最小的硬化。在使用的三种方法中，MoC预测的弹塑性响应最接近Brockenbrough等人。发现仅使用TFA方法分析的纤维横截面对弹塑性响应的影响对于弹性常数和塑性硬化均很重要。

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