温度影响下的锆合金轴向、环向和内压试验OA
Experimental Study on Axial,Circumferential and Internal Pressure of Zirconium Alloy Under Temperature Influence
锆合金包壳薄壁管在温度与载荷耦合条件下的力学响应预测对安全评估至关重要.本研究开展了轴向拉伸、环向拉伸及内压爆破三类试验,构建多工况应力-应变数据集,提取屈服与峰值等特征量并拟合统一经验本构,实现曲线参数化表达与重构.在此基础上,引入高斯过程回归对特征量进行数据驱动预测,采用留一交叉验证评估泛化能力,并将温度域划分为插值区与端点区以量化边界外推风险,进一步引入共形预测输出具有覆盖率意义的预测区间.结果表明,模型在插值温度区可稳定预测特征量并有效重构曲线,而端点区误差与不确定性显著增加.该研究为工程预测提供可解释且可交付的可信度表征数据.
The mechanical response of thin-walled zirconium alloy cladding at different temperatures is essential for constitutive description and integrity assessment.The temperature points of existing cladding mechanics data are discrete and often obtained through a single loading method.This makes it difficult to quantitatively compare different loading methods and makes temperature domain inference significantly sensitive to boundary conditions.In this work,we established stress-strain relationships under different temperature and stress conditions,and adopted a unified empirical constitutive relationship to achieve curve parameterization description.On this basis,probability regression and distribution independent uncertainty quantification were introduced to study the predictability of temperature dependence and its boundary risks. This article conducts axial tensile,circumferential tensile,and internal pressure burst tests on unirradiated zirconium alloy cladding tubes within the temperature range of room temperature to 400℃.A multi condition stress-strain dataset was constructed.The unified empirical constitutive relationship was obtained through data fitting,achieving parameterized characterization of the entire curve trajectory.Four characteristic quantities capturing the dominant transitions and curve morphology were extracted,and reinserting them into the fitted relation enables curve reconstruction and curve-level consistency checks. Then,Gaussian process regression(GPR)was used to predict the coupled response of temperature and load characteristic quantities.To characterize the differences in operating conditions,temperature single input models were trained for each of the three loading conditions.Two types of strain targets were modeled using logarithmic transformation,and the original scale after prediction was restored through exponential inverse transformation to ensure that the strain values are positive and improve numerical stability.The generalization performance was assessed via leave-one-out cross-validation(LOOCV).To distinguish interpolation fidelity from boundary sensitivity,the temperature domain was divided into a central interpolation zone and an endpoint zone for partition evaluation.The residual-temperature diagnostics showed markedly amplified and more dispersed residuals at the endpoints,indicating heteroscedastic near-extrapolation behavior. In terms of uncertainty quantification,a conformal prediction based on residual calibration was introduced,and a distribution independent prediction interval with nominal coverage semantics was constructed.Calibration characteristics were tested at multiple coverage levels.The model provided stable characteristic-quantity predictions and accurate curve reconstruction in the interpolation region,whereas both errors and interval widths increased substantially at the endpoints,with deviations propagating into the plastic and peak segments.This framework delineated temperature-domain applicability boundaries and provided an uncertainty-aware,mechanistically consistent basis for inferring cladding mechanical response.
袁斌霞;魏铭菡;李福乐;宁广胜;谈建平
上海电力大学 能源与机械工程学院,上海 201306上海电力大学 能源与机械工程学院,上海 201306上海电力大学 能源与机械工程学院,上海 201306||中广核苍南核电有限公司,浙江 苍南 325800中国原子能科学研究院反应堆工程技术研究所,北京 102413华东理工大学 机械与动力工程学院,上海 200237
数理科学
锆合金包壳管单轴拉伸内压爆破环向拉伸本构方程高斯过程回归不确定性评估
Zirconium alloy cladding tubesAxial tensionInternal-pressure burstCircumferential tensionConstitutive equationGaussian process regressionUncertainty quantification
《材料科学与工程学报》 2026 (4)
582-595,14
国家重点研发计划项目(2022YFE0312000)
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