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

一种模拟合金大变形行为的方法 将开发由低对称性多晶金属组成的纳米材料。 这种多晶体涉及具有少于五个的单晶， 主动滑移系统 特别重要的是阿尔法阶段 钛合金。 由于固有的运动学约束， 多晶行为的数值模拟 晶体滑移是计算密集型的。 另一方面 有限数量的滑移系允许分析处理 的速率不敏感行为的单晶和 多晶体 将对HCP晶体进行该分析 重点是钛。 分析结果将用于 全部或部分取代非线性的数值解， 描述单个颗粒响应的方程。 的 有限元分析所需的多晶性质 因此，可以更直接地从成形工艺中获得。 平均晶粒行为 这应该使确定的 多晶各向异性的演化更加精确， 高效. 各向异性的预测发展将是 与变形钛样品中观察到的各向异性相比， 在实验室的实际操作条件下。

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.