纳-微米尺度高熵合金压痕尺寸效应的尺度依赖性及修正模型

    Scale Dependence of Indentation Size Effect in High Entropy Alloys at Nano-Micro Scales and A Modified Model

    • 摘要: 压痕尺寸效应(indentation size effect,ISE)是纳米压痕技术的核心问题,但现有模型未区分纳米与微米尺度的变形机制差异。本研究构建了可区分尺度机制的修正模型:纳米尺度引入随深度单调递减的衰减函数f,修正几何必需位错(geometrically necessary dislocation,GND)存储区域,表征位错传播效应及弹性变形影响;在微米尺度定义系数β用于量化GND与统计储存位错的非线性耦合。经CoCrFeNiMn、CoCrFeNiAl0.3和CoCrFeNiAl0.6三种高熵合金纳米压痕实验验证,该模型可准确描述50~2000 nm压深范围内的ISE行为,且在忽略跨尺度变形机制差异时可退化为经典Nix-Gao模型。结合电子背散射衍射实验分析发现,晶粒尺寸通过调控位错相互作用显著影响压痕尺寸效应。本研究为跨尺度描述ISE提供了修正模型与微观机理支撑。

       

      Abstract: The indentation size effect (ISE) is a central problem in nanoindentation techniques. However, existing models often overlook the differences in deformation mechanisms at nano- and micro-scale indentation depths. This study constructed a modified model tailored to different scales: at the nano-scale, a decay function f that decreases monotonically with depth was introduced to modify the storage region of geometrically necessary dislocations (GNDs), characterizing the dislocation propagation effect and the influence of elastic deformation; at the micro-scale, the coefficient β was defined to quantify the nonlinear coupling between GNDs and statistically stored dislocations. Validated by nanoindentation experiments of CoCrFeNiMn, CoCrFeNiAl0.3 and CoCrFeNiAl0.6 high-entropy alloys, the model accurately describes the ISE behavior over depths of 50 nm-2000 nm and can degenerate to the classical Nix-Gao model when the cross-scale deformation mechanism differences are neglected. Combined with electron backscatter diffraction analysis, the grain size is found to significantly influence the ISE by regulating dislocation interactions. This work provides a modified theoretical framework and experimental basis for advancing the understanding of the ISE.

       

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