基于能量法计算材料的弹性模量和压痕硬度

Using Energy Method to Calculate Elastic Modulus and Indentation Hardness of Materials

摘要: 基于能量方法, 采用量纲分析法和Π定理, 分别推导了压痕功、压痕硬度与压痕参数和材料特性之间的无量纲函数;通过有限元仿真分析, 建立了无量纲压痕硬度和压痕功之间的线性关系;根据卸载斜率和接触面积之间的线性关系, 建立了压痕硬度和弹性模量的解析模型, 再结合压痕的载荷-位移曲线, 就可以计算得到材料的弹性模量和压痕硬度。结果表明: 此方法能比较快速准确地计算出弹性模量和压痕硬度。

Abstract: Based on energy method, using dimensional analysis method and the Π theorem, the dimensionless function between the indentation work, indentation hardness and indentation parameters, material properties were derived. Based on finite element simulation analysis, a linear relationship between the dimensionless indentation hardness and indentation work was established. According to the linear relationship between the unloaded slope and contact area, the analytic model of indentation hardness and elastic modulus was obtained, and then combining the load-depth curves, the indentation hardness and elastic modulus of materials could be obtained. The results show that using energy method could measure indentation hardness and elastic modulus rapidly and accuratly.