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。
弹性模量
压痕硬度
energy method
elastic modulus
indentation hardness
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.
中图分类号 TH871 TB302.3
所属栏目 物理模拟与数值模拟
基金项目 湖北省自然科学基金资助项目(2011CDB089)
收稿日期 2012/8/14
修改稿日期 2013/5/12
网络出版日期
作者单位点击查看
备注金宏平(1973-), 男, 湖北仙桃人, 讲师, 博士。
引用该论文: JIN Hong-ping,CHEN Jian-guo. Using Energy Method to Calculate Elastic Modulus and Indentation Hardness of Materials[J]. Materials for mechancial engineering, 2013, 37(9): 84～89
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
被引情况:
【1】金宏平, "压痕硬度测试技术中计算方法的改进",机械工程材料 40, 21-25(2016)
【2】董达善,俞翔栋, "基于能量法的残余应力测试",机械工程材料 38, 92-96(2014)
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参考文献
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【3】黎明, 温诗铸.纳米压痕技术理论基础[J].机械工程学报, 2003, 39(3): 142-145.
【4】刘扬.基于纳米压痕技术和有限元仿真的材料塑性性能分析[D].武汉: 武汉理工大学, 2003.
【5】刘琦.基于压痕功的微纳米表层硬度检测技术研究[D].哈尔滨: 哈尔滨工业大学, 2010.
【6】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): 1564-1580.
【7】郑哲敏, 谈庆明.相似理论与模化;M]//郑哲敏文集.北京: 科学出版社, 2004: 777-808.
【8】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: 3899-3918.
【9】TROYON M, HUANG L.Critical examination of the two-slope method in nanoindentation[J].Journal of Materials Research, 2005, 20: 2194-2198.
【10】GIANNAKOPOULOS A E, SURESH S. Determination of elastoplastic properties by instrumented sharp indentation[J].Scripta Materialia, 1999, 40: 1191-1198
【11】ZHAO M H, OGASAWARA N, CHIBA N, et al. A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation[J].Acta Materialia, 2006, 54: 23-32
【12】NAGAHISA O, NORIMASA C, CHEN X. A simple framework of spherical indentation for measuring elastoplastic properties[J].Mechanics of Materials, 2009, 41: 1025-1033.
【13】NI W Y, CHENG Y T, CHENG C M, et al. An energy-based method for analyzing instrumented spherical indentation experiments[J]. Journal of Materials Research, 2004, 19(1): 149-157.
【14】FISHER-CRIPPS A C. Introduction to contact mechanics;M].Berli: Springer, 2000.
【15】BULYCHEV S I, ALEKHIN V P, SHORSHOROV M H, et al. Determining Young's modulus from the indentor penetration diagram[J].Industrial Laboratory, 1975, 41(9): 1409-1412.
【16】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.
【17】BOLSHAKOV A, OLIVER W C, PHARR G M. Influences of stress on the measurement of mechanical properties using nanoindentation—Part II: Finite element simulations[J].Journal of Materials Research, 1996, 11: 760-768.
【18】TROYON M, LAFAYE S. About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements[J].Philosophical Magazine, 2006, 86(33): 5299-5307.
【19】GAO X L, JING X N, SUBHASH G. Two new expanding cavity models for indentation deformations of elastic strain-hardening materials[J].Int J Solids Struct, 2006, 43: 2193-2208.
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