In this paper, a hardening model is developed for the cross-sectional nanoindentation of ion-irradiated materials. The model is based on the derivation of an average defect density within the formed plasticity affected region, which depends on the distribution of defect density in the irradiated region, indentation depth and distance from the irradiated sample surface. A succinct parameter calibration process is proposed by comparing the theoretical results with experimental data at a given indentation depth. A good agreement with experimental data can be achieved for both the fitted relationship between irradiation hardening and indentation distance from the irradiated sample surface under cross-sectional nanoindentation, and predicted hardness as a function of indentation depth under surface nanoindentation. Therefore, the rationality and accuracy of the proposed model are effectively verified. Based on the analysis of this proposed model, it is available to characterize the property of plasticity affected region and irradiation depth of ion-irradiated materials based on the experimental data measured through cross-sectional nanoindentation.

本文针对离子辐照材料的横截面纳米压痕开发了一种硬化模型。该模型基于在所形成的可塑性影响区域内平均缺陷密度的推导，该平均缺陷密度取决于被辐照区域中缺陷密度的分布，压痕深度和距被辐照样品表面的距离。通过将理论结果与给定压痕深度下的实验数据进行比较，提出了一种简洁的参数校准过程。对于在横截面纳米压痕下的照射硬化和距被照射样品表面的压痕距离之间的拟合关系，以及在表面纳米压痕下预测的硬度与压痕深度的函数关系，都可以与实验数据很好地吻合。所以，有效地验证了所提模型的合理性和准确性。在此模型的分析基础上，基于通过截面纳米压痕测量的实验数据，可以表征可塑性影响区域的性质和离子辐照材料的辐照深度。