用数据驱动模型加速高温钢蠕变模拟,提升计算效率。
A Comparison of Surrogate Constitutive Models for Viscoplastic Creep Simulation of HT-9 Steel
- 构建两类代理模型,自适应复杂材料行为变化。
- 混合专家模型预测精度优于分段响应面方法。
- 适合核能材料优化与不确定性分析场景。
多晶体机械响应的机理化微观结构关联本构模型是计算材料科学的基础。然而,随着模型复杂度增加(常涉及描述特定变形模式的耦合微分方程),其计算成本可能变得难以承受,尤其在需大量模型评估的优化或不确定性量化任务中。为此,兼具精度与计算效率的代理本构模型极为重要。数据驱动型代理模型通过直接从数据学习本构关系,成为有前景的解决方案。本文针对一种钢——HT-9钢(因其耐辐射损伤能力受核能领域关注),开发了两种局部代理模型:分段响应面法与混合专家模型。这些代理模型旨在适应随材料参数或工况变化的复杂材料行为。基于粘弹性自洽(VPSC)模拟生成的训练数据,对代理模型进行训练,并定义测试指标以数值评估其预测能力。结果表明,混合专家模型在预测精度上优于分段响应面方法。
原文摘要 · Abstract (English)
Mechanistic microstructure-informed constitutive models for the mechanical response of polycrystals are a cornerstone of computational materials science. However, as these models become increasingly more complex - often involving coupled differential equations describing the effect of specific deformation modes - their associated computational costs can become prohibitive, particularly in optimization or uncertainty quantification tasks that require numerous model evaluations. To address this challenge, surrogate constitutive models that balance accuracy and computational efficiency are highly desirable. Data-driven surrogate models, that learn the constitutive relation directly from data, have emerged as a promising solution. In this work, we develop two local surrogate models for the viscoplastic response of a steel: a piecewise response surface method and a mixture of experts model. These surrogates are designed to adapt to complex material behavior, which may vary with material parameters or operating conditions. The surrogate constitutive models are applied to creep simulations of HT-9 steel, an alloy of considerable interest to the nuclear energy sector due to its high tolerance to radiation damage, using training data generated from viscoplastic self-consistent (VPSC) simulations. We define a set of test metrics to numerically assess the accuracy of our surrogate models for predicting viscoplastic material behavior, and show that the mixture of experts model outperforms the piecewise response surface method in terms of accuracy.
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