论文标题
微观结构敏感的不确定性定量，用于使用随机搭配方法的晶体可塑性有限元组成型模型
Microstructure-sensitive uncertainty quantification for crystal plasticity finite element constitutive models using stochastic collocation methods
论文作者
论文摘要
不确定性量化（UQ）在验证和验证计算工程模型和仿真中起着重要作用，并建立了对计算模型预测能力的信任。在材料科学和工程环境中，众所周知，从制造业到工程性能的唯一的道路映射是众所周知，已经开发了许多集成的计算材料工程模型（ICME）模型，以减轻各种长度尺度和时间表，以减轻资源强度实验的负担。在结构质体的链接中，晶体可塑性有限元法（CPFEM）模型已被广泛使用，因为它们是允许数值预测的少数ICME工具箱之一，从而提供了从微观结构到属性和性能的桥梁。已经提出了几种构成模型来捕获材料的力学和可塑性行为。尽管已经进行了一些UQ研究，但是这些本构模型的鲁棒性和不确定性尚未得到严格建立。 In this work, we apply a stochastic collocation (SC) method to quantify the uncertainty of the three most commonly used constitutive models in CPFEM, namely phenomenological models (with and without twinning), and dislocation-density-based constitutive models, for three different types of crystal structures, namely face-centered cubic (fcc) copper (Cu), body-centered cubic (bcc) tungsten (W), and六角形关闭填料（HCP）镁（MG）。我们的数值结果不仅量化了应力 - 应变曲线中这些组成型模型的不确定性，而且还分析了基本本构参数对初始屈服行为的全局灵敏度，这可能对未来的鲁棒组成型模型校准工作有帮助。
Uncertainty quantification (UQ) plays a major role in verification and validation of computational engineering models and simulations, and establishes trust in the predictive capability of computational models. In the materials science and engineering context, where the process-structure-property-performance linkage is well known to be the only road mapping from manufacturing to engineering performance, numerous integrated computational materials engineering (ICME) models have been developed across a wide spectrum of length-scales and time-scales to relieve the burden of resource-intensive experiments. Within the structure-property linkage, crystal plasticity finite element method (CPFEM) models have been widely used since they are one of a few ICME toolboxes that allow numerical predictions, providing the bridge from microstructure to properties and performances. Several constitutive models have been proposed to capture the mechanics and plasticity behavior of materials. While some UQ studies have been performed, the robustness and uncertainty of these constitutive models have not been rigorously established. In this work, we apply a stochastic collocation (SC) method to quantify the uncertainty of the three most commonly used constitutive models in CPFEM, namely phenomenological models (with and without twinning), and dislocation-density-based constitutive models, for three different types of crystal structures, namely face-centered cubic (fcc) copper (Cu), body-centered cubic (bcc) tungsten (W), and hexagonal close packing (hcp) magnesium (Mg). Our numerical results not only quantify the uncertainty of these constitutive models in stress-strain curves, but also analyze the global sensitivity of the underlying constitutive parameters with respect to the initial yield behavior, which may be helpful for robust constitutive model calibration works in the future.
