抗蠕变合金快速鉴定的有限元降阶建模

Md. Abir Hossain, C. Stewart
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摘要

本研究概述了在蠕变条件下构件概率蠕变响应的降阶建模(ROM)方法的应用。温度升高时,不可避免地会造成随时间变化的蠕变损伤。与理想的设计条件相比,在使用过程中经历的典型操作条件波动会极大地限制蠕变寿命。为了模拟构件的不确定性,可以采用概率有限元分析(FEA);然而,用于概率评估的大量全场有限元模拟(103 - 105次试验)耗时且计算上令人望而却步。为了解决这一挑战,在有限元分析中引入了计算效率高的ROM方法,用于概率蠕变变形、损伤和破裂预测。在该方法中,使用一维模型进行全尺寸概率模拟,检索极值条件,并将其应用于2D/3D模型模拟,以捕获组件响应的散射带。Wilshire-Cano-Stewart (WCS)模型被校准为304不锈钢数据的五倍。试验条件、初始损伤和材料性能不确定性通过适当的概率分布函数(pdf)纳入WCS模型。USERCREEP。针对WCS模型建立了F材料模型,并编制了ANSYS有限元仿真。在有限元分析中对WCS模型进行了确定性仿真验证。预测与实验的拟合优度令人满意。在一维模型中执行概率预测,以生成蠕变变形、损伤和破裂预测。建立了延性、断裂和蠕变面积曲线的极值情况。使用2D模型单独模拟极值情况,以捕获组件级别的不确定性。进行了%误差统计分析,以验证ROM方法的准确性,并进一步验证该方法在显著减少计算时间和内存的情况下模拟复杂几何形状(例如涡轮叶片)。未来的研究将引入随机性、时间和空间的不确定性来进行组件级模拟和改进预测。
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A Reduced Order Modeling in Finite Element for Rapid Qualification of Creep-Resistant Alloys
This study outlines the application of a Reduced Order Modeling (ROM) approach for the probabilistic creep response of components subject to creep conditions. Time-dependent creep damage is unavoidably inflicted in elevated temperature. Typical operating condition fluctuations experienced during service can greatly limit creep life when compared to the ideal design conditions. To mimic the uncertainty in component, probabilistic Finite Element Analysis (FEA) can be employed; however, numerous full-field FEA simulations (103−105 trials) for probabilistic assessments are time-intensive and computationally prohibitive. To address this challenge, the computationally efficient ROM approach is introduced for probabilistic creep deformation, damage, and rupture predictions in FEA. In this approach, full-scale probabilistic simulation using a 1D model are performed, the extremum conditions retrieved, and applied in 2D/3D model simulations to capture the scatter bands of component response. The Wilshire-Cano-Stewart (WCS) model is calibrated to quintuplicate 304 Stainless steel data. Test condition, initial damage, and material property uncertainty are incorporated into the WCS model via appropriate probability distribution function (pdfs). A USERCREEP.F material model is developed for the WCS model and compiled for ANSYS FEA simulations. Deterministic simulations of the WCS model are carried out in FEA for validation. The goodness-of-fit between the prediction and experiment are observed to be satisfactory. Probabilistic predictions are executed in the 1D model to generate the creep deformation, damage, and rupture prediction. The extremum cases of ductility, rupture, and area under creep (AUC) curves are established. The extremum cases alone are simulated using a 2D model to capture the component level uncertainty. A %Error statistical analysis is performed to verify the accuracy of ROM approach and further validate the approach for proposed simulation of a complex geometry (e.g., turbine blade) at a significantly reduced computational time and memory. Future investigations will introduce stochasticity, temporal, and spatial uncertainty for component-level simulation and improved prediction.
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