Modeling Deformation Induced Texture in Titanium Using Analytic Solutions for Single Crystal Response

将开发一种模拟由低对称性多晶金属组成的合金大变形行为的方法。这种多晶体包括具有不到五个活动滑移系的单晶体。特别重要的是钛合金的阿尔法相。由于固有的运动学约束，基于单晶滑移的多晶行为的数值模拟计算量很大。另一方面，有限数量的滑移系统允许对单晶和多晶的速率不敏感行为进行分析处理。这项分析将对六氯酚晶体进行，重点是钛。分析结果将被用来全部或部分取代描述单个颗粒响应的非线性方程的数值解。因此，成形过程的有限元分析所需的多晶特性可以更直接地从平均颗粒行为中获得。这将使多晶各向异性演化的确定更加准确和有效。将预测的各向异性发展与实验室在实际加工条件下变形的钛样品中观察到的各向异性进行比较。

A method for modeling large deformation behavior of alloys comprised of low symmetry polycrystalline metals will be developed. Such polycrystals involve single crystals with fewer than five active slip systems. Of particular importance are the alpha phases of titanium alloys. Because of the inherent kinematic constraint, numerical simulations of polycrystal behavior based on single crystal slip are computationally intensive. On the other hand, the restricted number of slip systems permit an analytical treatment of the rate insensitive behavior of both the single crystal and the polycrystal. This analysis will be carried out for HCP crystals with emphasis on titanium. The analytical results will be used to replace, in whole or in part, the numerical solution of nonlinear equations that describe responses of individual grains. The polycrystalline properties necessary for finite element analysis of forming processes thus may be obtained more directly from the average grain behavior. This should make the determination of the evolution of the polycrystalline anisotropy far more accurate and efficient. The predicted development of anisotropy will be compared with anisotropy observed in samples of titanium deformed in the laboratory under realistic processing conditions.