Abstract

In the second part of the work, a two-step Bayesian framework is utilized for the estimation of values of the single-crystal elastic constants as well as the initial slip resistances of the different slip families in the primary α-phase components in the Ti alloys of different compositions. These estimations are based on the spherical indentation measurements presented in Part I of this series. The first step of the two-step Bayesian framework established a reduced-order model which captures the dependence of the indentation property as a function of the relevant crystal-level (intrinsic) material properties and the crystallographic lattice orientation in the indentation deformation zone. This reduced-order model is calibrated to high-fidelity results obtained from suitable crystal-plasticity finite element simulations. The second step involved the calibration of the indentation measurements obtained within the primary α-phase (from Part I of this series) to the reduced-order model established in the first step. It is demonstrated that the protocols described above result in the successful generation of a comprehensive dataset of single-crystal elastic–plastic properties across a collection of Ti alloys while accounting for the implicit uncertainties in the spherical indentation measurements.

Graphical Abstract

中文翻译：

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多晶样品中初生α-Ti晶粒的机械响应：第二部分-通过球面压痕测量的晶体级弹塑性力学性能的贝叶斯估计

摘要

在工作的第二部分中，两步贝叶斯框架用于估算Ti的主要α相成分中单晶弹性常数的值以及不同滑移族的初始滑移阻力。不同成分的合金。这些估计基于本系列第一部分中介绍的球形压痕测量。两步贝叶斯框架的第一步建立了降阶模型，该模型捕获了压痕特性的依赖性，该依赖性是相关的晶体级（本征）材料特性和压痕变形区中的晶格取向的函数。该降阶模型已校准为从适当的晶体塑性有限元模拟获得的高保真度结果。第二步涉及将在原始α相中获得的压痕测量值进行校准（从该系列的第一部分开始）到第一步中建立的降阶模型。事实证明，上述方案可成功生成钛合金集合体中单晶弹塑性特性的综合数据集，同时考虑了球形压痕测量中的隐含不确定性。

图形概要