基于维氏压入理论模型的材料塑性参数与硬度一体化预测方法

doi:10.3901/JME.2023.08.132

机械工程学报 ›› 2023, Vol. 59 ›› Issue (8): 132-141.doi: 10.3901/JME.2023.08.132

扫码分享

基于维氏压入理论模型的材料塑性参数与硬度一体化预测方法

陈辉^1,2, 傅作华², 陈得良², 孟铮², 范中天²

1. 长沙理工大学桥梁工程安全控制教育部重点实验室长沙 410114;
2. 长沙理工大学土木工程学院长沙 410114

收稿日期:2022-03-21 修回日期:2022-12-04 出版日期:2023-04-20 发布日期:2023-06-16
通讯作者: 陈得良,男,1971年出生,博士,教授。主要研究方向为新型复合材料结构的力学分析。E-mail:deliang_chen@126.com
作者简介:陈辉,男,1990年出生,博士,院聘副教授。主要研究方向为材料力学性能表征与测试方法。E-mail:chen_hui5352@163.com
基金资助:
湖南省自然科学基金(2021JJ40553); 湖南省教育厅优秀青年基金(20B028);湖南省教育厅重点(16A003)资助项目; 教育部重点实验室开放基金(19KB04)

Integrated Prediction Method of Plastic Parameters and Hardness of Materials Based on VICKERS Indentation Theory Model

CHEN Hui^1,2, FU Zuo-hua², CHEN De-liang², MENG Zheng², FAN Zhong-tian²

1. Key Laboratory of Bridge Engineering Safety Control, Ministry of Education,Changsha University of Science & Technology, Changsha 410114;
2. School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114

Received:2022-03-21 Revised:2022-12-04 Online:2023-04-20 Published:2023-06-16

摘要/Abstract

摘要： 相较于布氏和洛氏硬度,维氏硬度具有测量范围广和压入深度浅等优点。对于均匀连续、各向同性、具备幂硬化特征的金属材料,利用能量等效方法建立描述维氏压入荷载-深度关系的弹塑性模型,从而结合硬度定义公式获得了材料塑性参数与维氏硬度的显式理论关系,并由此提出一种通过仪器化压入荷载-深度曲线一体化预测维氏硬度与材料塑性参数的新方法。在包含钢材、铜材、铝材等实际材料单轴拉伸性能对应HOLLOMON模型参数范围内,借助大量有限元分析展开广泛的正向与反向预测验证。针对相关文献中的9种延性金属材料,利用已有维氏压入试验数据并结合一体化压入预测方法进行计算分析,结果表明,该方法预测的维氏硬度、HOLLOMON模型参数均与常规标准试验结果吻合良好。

关键词: 维氏硬度, 能量等效方法, HOLLOMON模型, 仪器化压入

Abstract: Compared with Brinell and Rockwell hardness, VICKERS hardness has the advantages of wide measurement range and shallow indentation depth. For metallic materials with homogeneous, continuous, isotropic and power-law hardening characteristics,an elastic-plastic model describing the relationship between VICKERS-indentation load and depth is established by using the energy equivalent method. Combined with the hardness definition equation, the explicit theoretical relationship between the parameters of the material tensile properties and VICKERS hardness is obtained. A new method for integrated VICKERS hardness and tensile properties parameters through the instrumented indentation load depth curve is proposed. Within the range of HOLLOMON model parameters corresponding to the tensile properties of actual materials including steel, copper and aluminum, extensive forward and reverse prediction verification is carried out by using finite element analysis. In addition, the VICKERS hardness test data of nine ductile metal materials in the existing reference are used for integrated prediction and analysis. The results show that the VICKERS hardness and parameters of HOLLOMON model predicted by this method are in good agreement with the results of conventional standard tests.

Key words: VICKERS hardness, energy equivalence method, HOLLOMON model, instrumented indentation

中图分类号:

O344

陈辉, 傅作华, 陈得良, 孟铮, 范中天. 基于维氏压入理论模型的材料塑性参数与硬度一体化预测方法[J]. 机械工程学报, 2023, 59(8): 132-141.

CHEN Hui, FU Zuo-hua, CHEN De-liang, MENG Zheng, FAN Zhong-tian. Integrated Prediction Method of Plastic Parameters and Hardness of Materials Based on VICKERS Indentation Theory Model[J]. Journal of Mechanical Engineering, 2023, 59(8): 132-141.

参考文献

[1] DUGDALE D S. Vickers hardness and compressive strength[J]. Journal of the Mechanics and Physics of Solids,1958,6(2):85-91.
[2] MULHEARN T O. The deformation of metals by VICKERS type pyramidal indenters[J]. Journal of the Mechanics and Physics of Solids,1959,7(2):85-88.
[3] 马德军.材料力学性能仪器化压入测试原理[M].北京:国防工业出版社,2010.MA Dejun. Principle of Instrumented indentation test for mechanical properties of materials[M]. Beijing:National Defense Industry Press,2010.
[4] STILWELL N A,TABOR D. Elastic recovery of conical indentations[J]. Proceedings of the Physical Society,1961,78(2):169-179.
[5] BULYCHEV S I,ALEKHIN V P,SHORSHOROV M H,et al. Determining Young’s modulus from the indentor penetration diagram[J]. Ind. Lab.,1975,41(9):1409-1412.
[6] PETHICA J B. Microhardness tests with penetrationdepths less than ion implanted layer thickness[M]. Pergamon:On Implantation into Metals,1982.
[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] DOERNER M,NIX W. A method for interpreting thedata from depth-sensing indentation instruments[J]. Journal of Materials Research,1986,1(4):601-609.
[9] RIBEIRO F A,GIUSEPPE P,Amilton S,et al. The use of a VICKERS indenter in depth sensing indentationfor measuring elastic modulus and VICKERS hardness[J].Materials Research,2004,7(3):483-491.
[10] GIANNAKOPOULOS A E, LARSSON P L,VESTERGAARD R. Analysis of VICKERS indentation[J]. International Journal of Solids&Structures,2015,31(19):2679-2708.
[11] YU W,BLANCHARD J P. An elastic-plastic indentation model and its solutions[J]. Journal of Materials Research,1996,11(9):2358-2367.
[12] ANTUNES J M,MENEZES L F,FERNANDES J V.Three-dimensional numerical simulation of VICKERS indentation tests[J]. International Journal of Solids&Structures,2006,43(3-4):784-806.
[13] 石新正,陈伟,陈平,等.金属材料弹塑性参数仪器化聚集式VICKERS压入识别方法[J].中国有色金属学报,2019,29(11):2582-2593.SHI Xinzheng, CHEN Wei, CHEN Ping, et al.Instrumented aggregated Vickers indentation identification method for elastic-plastic parameters of metal materials[J]. Chinese Journal of Nonferrous Metals,2019,29(11):2582-2593.
[14] 李可.压痕法表征金属材料单轴力学性能的理论研究[D].湘潭:湘潭大学,2020.LI Ke. Theoretical study on characterization of uniaxial mechanical properties of metal materials by indentation method[D]. Xiangtan:Xiangtan University,2020.
[15] CHEN H,CAI L X. Unified elastoplastic model based on strain energy equivalence principle[J]. Applied Mathematical Modelling,2017,52:664-671.
[16] 张志杰,蔡力勋,陈辉,等.金属材料的强度与应力-应变关系的球压入测试方法[J].力学学报,2019,51(1):159-169.ZHANG Zhijie,CAI Lixun,CHEN Hui,et al. Ball indentation test method for strength and stress-strain relationship of metal materials[J]. Journal of Mechanics,2019,51(1):159-169.
[17] CHEN H,CAI L X. An elastoplastic energy model for predicting the deformation behaviors of various structural components[J]. Applied Mathematical Modelling,2019,68:405-421.
[18] 陈辉.能量中值等效理论与小试样材料测试方法[D].成都:西南交通大学,2019.CHEN Hui. Energy median equivalence theory and small sample material test method[D]. Chengdu:Southwest Jiaotong University,2019.
[19] 陈辉,蔡力勋,彭晖.预测铝合金单轴力学性能的复合型双锥压入法[J].机械工程学报,2021,57(20):79-88.CHEN Hui, CAI Lixun, PENG Hui. A composite dual-conical indentation method for predicting the uniaxial mechanical properties of aluminum alloys[J].Journal of Mechanical Engineering,2021,57(20):79-88.
[20] DAO M,CHOLLACOOP N,VAN VLIET K J,et al.Computational modeling of the forward and reverse problems in instrumented sharp indentation[J]. Acta Materialia,2001,49(19):3899-3918.
[21] KHAN M K,HAINSWORTH S V,FITZPATRICK M E,et al. A combined experimental and finite element approach for determining mechanical properties of aluminium alloys by nanoindentation[J]. Computational Materials Science,2010,49(4):751-760.
[22] XIAO G,YANG X,QIU J,et al. Determination of power hardening elastoplastic constitutive relation of metals through indentation tests with plural indenters[J].Mechanics of Materials,2019,138:103173.
[23] 冯元桢.连续介质力学初级教程[M].北京:清华大学出版社,2011.FENG Yuanzheng. Elementary course of continuum mechanics[M]. Beijing:Tsinghua University Press,2011.
[24] 王高潮.材料科学与工程导论[M].北京:机械工业出版社,2006.WANG Gaochao. Introduction to materials science and engineering[M]. Beijing:China Machine Press,2006.
[25] CHENG Y T,CHENG C M. Relationships between hardness,elastic modulus,and the work of indentation[J].Applied Physics Letters,1998,73(5):614-616.
[26] MA D J,ONG C,WONG S,et al. New method for determining Young’s modulus by non-ideally sharp indentation[J]. Journal of Materials Research,2005,20(6):1498-1506.
[27] 郑学斌,尚鹏举.应变硬化指数与屈服强度和抗拉强度关系的研究[J].机械工程师,2017(5):106-109.ZHENG Xuebin, SHANG Pengju. Study on the relationship between strain hardening index and yield strength and tensile strength[J]. Mechanical Engineer,2017(5):106-109.

基于维氏压入理论模型的材料塑性参数与硬度一体化预测方法

Integrated Prediction Method of Plastic Parameters and Hardness of Materials Based on VICKERS Indentation Theory Model

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

本文评价

[1]	冒爱琴, 陈诗洁, 贾洋刚, 邵霞, 权峰, 张晖, 张义伟, 金莹, 金霞. Al含量对粉末冶金CoCrFeMnNi高熵合金组织结构与性能的影响[J]. 机械工程学报, 2024, 60(20): 134-143.
[2]	毛镇东, 阚盈, 姜云禄, 韩晓辉, 陈怀宁. 异种铝合金电阻点焊接头全场残余应力研究[J]. 机械工程学报, 2020, 56(16): 84-90.
[3]	强伟, 王克鸿, 林祥礼. 铝合金双面双弧同步立焊工艺特征与接头组织性能分析[J]. 机械工程学报, 2015, 51(24): 82-89.