ABSTRACT Orientation rotation tendency with respect to target orientation in body-centred cubic (bcc) crystal is investigated under different rolling modes. Oriented stability is proposed to describe the rotation rate towards target orientation in contrast to conventional orientation stability. The oriented stability distribution in Euler space can clearly present how an orientation contributes to target orientation. Furthermore, statistical oriented stability is introduced to represent the overall rotation tendency by orientation density weighting. Taking typical λ fibre (<001>//ND, normal direction) as the target orientation, the oriented stability distribution under symmetric (SR) and asymmetric rolling (ASR) is calculated. The orientation regions in Euler space that rapidly and slowly converge to or diverge from target orientation are identified. By combining oriented stability and orientation flow, the routine map for texture control can be accurately designed by modifying initial texture and strain tensor.

中文翻译：

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定向稳定性及其在纹理控制中的应用

摘要 研究了不同滚动模式下体心立方 (bcc) 晶体中相对于目标取向的取向旋转趋势。提出了定向稳定性来描述与传统定向稳定性相比朝向目标定向的旋转速率。欧拉空间中的定向稳定性分布可以清楚地展示一个方向如何影响目标方向。此外，引入统计定向稳定性以通过定向密度加权来表示整体旋转趋势。以典型的λ纤维（<001>//ND，法线方向）为目标取向，计算对称（SR）和非对称滚动（ASR）下的取向稳定性分布。识别欧拉空间中快速和缓慢收敛到目标方向或偏离目标方向的方向区域。通过结合定向稳定性和定向流，可以通过修改初始纹理和应变张量来精确设计纹理控制的例程图。