作者：金宏平

作者单位：湖北汽车工业学院机械工程学院, 湖北 十堰 442002

关键词：球压痕;柔度;标定;硬度

摘要：

针对Oliver-Pharr法计算压痕硬度的精度受机架柔度影响的问题，该文将微压痕仪简化为弹簧串联模型，基于Oliver-Pharr方法，建立机架柔度对接触深度和压痕硬度误差影响的解析模型。采用有限元仿真分析，获得压痕功比值与压痕深度比值之间的函数关系，建立实际压痕深度与机架柔度无关的压痕参数的解析模型，实现机架柔度的标定。实验表明：该方法能够快速高效地对机架柔度进行标定。

Study on the effect analysis and calibration method of machine compliance on hardness for spherical indentation instrument

JIN Hongping

Department of Mechanical Engineering, Hubei University of Automotive Technology, Shiyan 442002, China

Abstract: For the accuracy of the indentation hardness using the Oliver-Pharr method is affected by the frame compliance, the micro-indentation instrument was simplified as a spring series model in this paper, two analytical models for the influence of frame compliance on contact depth and indentation hardness were establishedbased onthe Oliver-Pharr method. Used finite element simulation method, the relationships between the indentation work ratio and indentation depth ratio were obtained, an analytical model between the actual indentation depth and the indentation parameters independent of the frame compliancewas established, and thenthe frame compliance was calibrated. The results of indentation experiments are shown that the frame compliance can be quickly and efficiently calibrated.

Keywords: spherical indentation;compliance;calibration;hardness

2017, 43(11): 31-36  收稿日期: 2017-02-09;收到修改稿日期: 2017-04-20

基金项目: 湖北省自然科学基金资助项目（2014CFB623）；湖北汽车工业学院博士基金项目（BK201303）

作者简介: 金宏平(1973-),男,湖北仙桃市人,副教授,博士,研究方向为测试技术及应用。

参考文献

[1] OLIVER W C, PHARR G M. Measurement of hardness and elastic modulus by instrumented indentation:Advances in understanding and refinements to methodology[J]. Journal of Materials Research,2004,19(1):3-20.
[2] JIN H P, YANG W Y, YAN L. Development of an improved energy-based method for residual stress assessment[J]. Philosophical Magazine,2012,92(4):480-499.
[3] 马德军,王家梁,肖富君,等. 材料维氏硬度仪器化压入方法准确度研究[J]. 中国测试,2015,41(10):6-12.
[4] JHA K K, SUKSAWANG N, AGARWAL A. A new insight into the work-of-indentation approach used in the evaluation of material's hardness from nanoindentation measurement with Berkovich indenter[J]. Computational Materials Science,2014(85):32-37.
[5] 金宏平,陈建国. 基于能量法计算材料的弹性模量和压痕硬度[J]. 机械工程材料,2013,37(9):84-89,95.
[6] DOERNER M F, NIX W D. A method for interpreting the data from depth-sensing indentation instruments[J]. Journal of Materials Research,1986,1(4):601-609.
[7] OLIVER W C, PHARR G M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments[J]. Journal of Materials Research,1992,7(6):1564-1583.
[8] FISCHER-CRIPPS A C. Nanoindentation[M]. New York:Springer,2011:88-91.
[9] SUN Y, ZHENG S, BELL T, et al. Indenter tip radius and load frame compliance calibration using nanoindentation loading curves[J]. Philosophical Magazine Letters,1999,79(9):649-658.
[10] FENG C, TANNENBAUM J M, KANG B S, et al. A load-based multiple-partial unloading micro-indentation technique for mechanical property evaluation[J]. Experimental Mechanics,2010,50(6):737-743.
[11] CHENG Y T, CHENG C M. Relationships between ha-rdness elastic modulus, and the work of indentation[J]. Applied Physics Letters,1998,73(5):614-616.