用贝叶斯优化加速3D打印哈氏合金疲劳建模,75次迭代即完成校准。
Elucidating microstructural influences on fatigue behavior for additively manufactured Hastelloy X using Bayesian-calibrated crystal plasticity model
- 基于贝叶斯优化与高斯过程代理模型,自动寻优晶体塑性参数。
- 仅需50次初始仿真,在75次迭代内精准匹配不同应变幅值的实验数据。
- 揭示晶粒尺寸、取向及孪生结构对疲劳失效的影响机制,适合材料模拟研究者。
晶体塑性(CP)建模是预测材料力学行为的重要工具,但其校准涉及超过8个本构参数,常需耗时的试错方法。本文提出一种基于贝叶斯优化(BO)的稳健校准方法,用于在疲劳加载条件下确定最优的CP模型参数。利用500°F下增材制造哈氏合金X试样的循环数据,结合高斯过程代理模型的BO框架显著减少了所需仿真次数。设计了一种新型目标函数,以匹配不同应变幅值下的实验应力-应变数据。结果表明,仅需75次迭代,甚至仅50次初始仿真即可实现有效的CP模型校准。敏感性分析显示,屈服相关参数主导应力-应变响应,而反作用力参数在压缩加载时影响增强。此外,研究了合成微结构中引入孪晶对疲劳行为的影响,建立了微结构特征与疲劳指示参数之间的关系。结果显示,直径较大、具有较高Schmid因子(平均取向差约42°±1.67°)的晶粒为潜在失效位点。所提出的优化框架可推广至任意材料体系或CP模型,简化校准流程并提升预测精度。
原文摘要 · Abstract (English)
Crystal plasticity (CP) modeling is a vital tool for predicting the mechanical behavior of materials, but its calibration involves numerous (>8) constitutive parameters, often requiring time-consuming trial-and-error methods. This paper proposes a robust calibration approach using Bayesian optimization (BO) to identify optimal CP model parameters under fatigue loading conditions. Utilizing cyclic data from additively manufactured Hastelloy X specimens at 500 degree-F, the BO framework, integrated with a Gaussian process surrogate model, significantly reduces the number of required simulations. A novel objective function is developed to match experimental stress-strain data across different strain amplitudes. Results demonstrate that effective CP model calibration is achieved within 75 iterations, with as few as 50 initial simulations. Sensitivity analysis reveals the influence of CP parameters at various loading points on the stress-strain curve. The results show that the stress-strain response is predominantly controlled by parameters related to yield, with increased influence from backstress parameters during compressive loading. In addition, the effect of introducing twins into the synthetic microstructure on fatigue behavior is studied, and a relationship between microstructural features and the fatigue indicator parameter is established. Results show that larger diameter grains, which exhibit a higher Schmid factor and an average misorientation of approximately 42 degrees +/- 1.67 degree, are identified as probable sites for failure. The proposed optimization framework can be applied to any material system or CP model, streamlining the calibration process and improving the predictive accuracy of such models.
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