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    基于仪器化压入硬度和功测试材料杨氏模量的方法

    Method for Determining Youngs Modulus by Applying Instrumented Indentation Hardness and Work

    • 摘要: 应用量纲定理和有限元方法对仪器化压入响应进行了分析。结果表明:在仪器化压入硬度HO&P(即Oliver-Pharr压入硬度)和联合杨氏模量Ec的比值与卸载功We和压入总功Wt的比值间存在近似的函数关系,即HO&P/Ec=Γ(We/Wt),其中联合杨氏模量被定义为Ec=1/(1-ν2)/E+1.32(1-ν2i)/Ei,且Ei,E和νi,ν分别为金刚石压头和被压材料的杨氏模量及泊松比。基于上述关系提出了由仪器化压入硬度和压入比功确定材料杨氏模量的新方法,同时分析了该方法的理论误差。通过试验表明该方法较传统Oliver-Pharr方法具有较高的测试精度。

       

      Abstract: The instrumented indentation tests were analyzed by employing dimensional theorem and finite element method. A combined Youngs modulus Ec, defined by Ec=1/(1-ν2)/E+1.32(1-ν2i)/Ei was introduced to accurately reflect the combined elastic effect of an indenter and an indented material, in which Ei and νi were the Youngs modulus and Poissons ratio of the indenter, and E and ν were those of the indented material. Consequently, an approximate relationship between the ratio of Oliver-Pharr hardness HO&P to the combined Youngs modulus Ec and the ratio of unloading work We to total work Wt in indentation was revealed by HO&P/Ec = Γ(We/Wt). Based on the relationship, a new method was then proposed for determining Youngs modulus of materials, and the effectiveness of the method was examined by several experimental examples. The results showed that the test precision of the method was higher than that of Oliver-Pharr method.

       

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