Micromechanical bending analyses CPFEM of polysynthetically twinned (PST) single crystal of TiAl composing of one -phase lamella and six –phase lamellae have been performed. The results have demonstrated that a decrease in the domain size aspect ratio or an increase in the volume fraction of phase have an effect of increasing the induced bending moment and consequently bending resistance under both bending modes of hogging and sagging. The similar variations in and results in a decreasing trends of maximum tensile and compressive initial yield stresses (normal bending stresses), obtained through small strain beam theory. Results have also shown the effects of imposed constraints on the bending behavior; traction-free boundary conditions result in activation of prismatic slips instead of pyramidal slips in -phase, leading to a lower observed bending moment for the variables and considered. A scaling law is proposed that relates bending moment to domain size aspect ratio and bending angle.

中文翻译：

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铝化钛多合成孪晶单晶弯曲的微观力学分析

对由一相片层和六相片层组成的 TiAl 多合成孪晶 (PST) 单晶进行了微机械弯曲分析 CPFEM。结果表明，域尺寸纵横比的减小或相体积分数的增加具有增加诱导弯矩的作用，从而增加了中拱和下垂弯曲模式下的弯曲阻力。通过小应变梁理论获得的最大拉伸和压缩初始屈服应力（法向弯曲应力）的类似变化导致了下降趋势。结果还显示了施加的约束对弯曲行为的影响；无牵引边界条件导致棱柱滑移而不是同相金字塔滑移的激活，导致观察到的变量弯矩较低并被考虑。提出了将弯矩与域尺寸纵横比和弯曲角度相关联的缩放定律。