仪器化压入硬度与维氏硬度的关系研究

对理想Berkovich压头和维氏压头几何形状的分析表明，名义硬度Hn与维氏硬度Hv间存在如下近似函数关系：Hv=Hn/1.08。以37种碳钢材料的单轴拉伸实验数据为例，利用非线性有限元分析软件ABAQUS，模拟分析了这组碳钢材料的仪器化压入响应，将得出的名义硬度除以1.08，并与这些碳钢材料维氏硬度的实验数据相比较，两者吻合较好，以上关系的正确性得到了验证。这一关系使仪器化压入硬度与传统硬度间的直接比较成为可能。同时，为薄膜材料、纳米材料等小尺度材料传统硬度的预测提供了可行性方法。

Investigation of Relationship between Instrumented Indentation Hardness and Vickers Hardness

Geometry analysis of ideal Berkovich indentor and ideal Vickers indentor shows that there should be an approximate functional relation： Viekers hardness Hv is equal to nominal hardness H, divided by 1.08, namely Hv=Hn/1.08. Aimed at uniaxial tensile experimental data of 37 carbon steel materials, instrumented indentation experiments are simulated with the ABAQUS finite element software package. From these finite element computations, nominal hardness is derived. Hence, Vickers hardness are determined by substituting the nominal hardness obtained in finite element simulation into the first unmodified functional relation. The value of Viekers hardness calculated from nominal hardness is proved to be in agreement with the experimentally determined Vickers hardness data. Based on this relationship, it is not only possible to compare instrumented indentation hardness with conventional hardness directly, but also can be further adopted to estimate the conventional hardness for materials on small scales such as thin films materials and nanometer materials.