Abstract In this work, a novel methodology for fracture characterization of metallic notched components including the effect of notch root radius and temperature is proposed based on the brittle-to-ductile transition curve. To this aim, two different regression models are derived, either by considering temperature as an influencing variable or combined with the notch radius effect. In the former case, the compatibility condition between the statistical distributions of the fracture toughness for a given temperature and of the temperature for a given fracture toughness is applied. This allows the K c - T field to be analytically defined proving that both distributions are interrelated and cannot be arbitrarily defined. The second regression model is based on the Theory of the critical distances by converting the experimental data at different notch radii to a reference value. In this way the so-called notch or apparent fracture toughness is calculated in a probabilistic manner for any combination of notch radii and temperature. The proposed methodology is applied to the results of a large experimental campaign on a S355J2 steel involving different temperatures and notch root radii conditions confirming its utility and suitability.

中文翻译：

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用于缺口试样断裂韧性统计分析的几何和温度相关回归模型

摘要 在这项工作中，提出了一种基于脆韧转变曲线的金属缺口部件断裂表征的新方法，包括缺口根部半径和温度的影响。为此，推导出两种不同的回归模型，要么将温度视为影响变量，要么与缺口半径效应相结合。在前一种情况下，应用给定温度下断裂韧性的统计分布与给定断裂韧性下的温度统计分布之间的相容性条件。这允许对 K c - T 场进行分析定义，证明两个分布是相互关联的，不能任意定义。第二个回归模型基于临界距离理论，通过将不同凹口半径的实验数据转换为参考值。以这种方式，对于缺口半径和温度的任意组合，以概率方式计算所谓的缺口或表观断裂韧性。所提出的方法应用于 S355J2 钢的大型实验活动的结果，涉及不同的温度和缺口根部半径条件，证实了其实用性和适用性。