The Monte Carlo simulation (MCS) method for uncertainty evaluation of measurement results has gained popularity as an alternative to the method based on law of propagation of uncertainty (LPU) ever since the recommendation by JCGM through supplement JCGM 101:2008. In this paper, efforts have been made to compute the uncertainty in measurement of hardness in the Vickers hardness scale using MCS and LPU method. Three different hardness blocks of different hardness scales, namely HV1, HV10 and HV30, have been calibrated following the standard procedure in the primary Vickers hardness machine established in CSIR-National Physical Laboratory. The mean hardness values and the associated measurement uncertainty of the hardness blocks are computed using LPU and MCS methods. A comparison of the results obtained through LPU and MCS methods has been carried out. It is observed that there is a good agreement between findings from both the methods adopted, hence confirming that MCS method can be employed in the various fields of hardness metrology for evaluation of measurement uncertainty.

中文翻译：

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使用不确定性传播定律和蒙特卡洛模拟法对维氏硬度标度进行测量不确定度评估

自从JCGM通过补充JCGM 101：2008提出建议以来，用于测量结果不确定性评估的蒙特卡罗模拟（MCS）方法已成为基于不确定性传播定律（LPU）的方法的替代方法，从而广受欢迎。在本文中，已努力使用MCS和LPU方法计算维氏硬度标度中的硬度测量不确定度。按照CSIR国家物理实验室建立的初级维氏硬度机中的标准程序，已校准了三个不同硬度等级的硬度块，分别为HV1，HV10和HV30。使用LPU和MCS方法计算硬度块的平均硬度值和相关的测量不确定度。通过LPU和MCS方法获得的结果已进行了比较。可以观察到，两种方法的发现之间有很好的一致性，因此证实了MCS方法可用于硬度计量的各个领域，以评估测量不确定度。