Reverse Analysis for Material Parameters of Hardening Layer on Laser Quenched U71Mn Steel Rail Surface
摘 要
对激光淬火U71Mn钢轨淬硬层和母材进行纳米压痕试验,由载荷-压深曲线计算得到弹性模量和纳米硬度;建立淬硬层纳米压痕的轴对称有限元模型,基于幂强化模型并结合迭代法对载荷-压深曲线进行反演分析,确定幂强化模型的材料参数,并对反演分析的有效性进行验证。结果表明:淬硬层的平均弹性模量和纳米硬度分别为220.3,11.8 GPa,与母材相比分别提高了4.9%和187.8%,且二者在淬硬层中分布较为均匀,仅在边界处发生突变;反演分析得到淬硬层的特征应力为3 146.0 MPa,特征应变为0.038,应变硬化指数为0.64,名义屈服强度为498.3 MPa;由反演分析得到的应力-应变曲线与给定参数确定的应力-应变曲线的吻合程度较高,说明此反演分析方法有效。
Abstract
Nano-indentation tests were conducted on hardening layer and base metal of laser-quenched U71Mn steel rail, and then the elastic modulus and nanohardness were calculated from the load-depth curves. An axisymmetric finite element model for nano-indentation of the hardening layer was established, and then the material parameters for isotropic power-hardening model were determined by the reverse analysis of the load-depth curves on the basis of the isotropic power-hardening model combined with iterative method. The validity of the reverse analysis was verified. The results show that the average elastic modulus and nanohardness of the hardening layer were 220.3, 11.8 GPa, improved by 4.9%, 187.8% those of the base metal, respectively. The elastic modulus and nanohardness distributed relatively homogeneously in the hardening layer and only changed sharply at the boundary. By the reverse analysis, the representative stress of the hardening layer was 3 146.0 MPa, the representative strain was 0.038, the strain hardening index was 0.64, and the nominal yield strength was 498.3 MPa. The stress-strain curves obtained by the reverse analysis and determined by given parameters were highly consistent, indicating the validity of the reverse analysis method.
中图分类号 TG156.3 U216 DOI 10.11973/jxgccl201904016
所属栏目 物理模拟与数值模拟
基金项目 国家重点研发计划项目(2016YFB1102601);四川省杰出青年基金资助项目(2017JQ0019);牵引动力国家重点实验室项目(TPL1606;2017TPLT04)
收稿日期 2018/11/7
修改稿日期 2019/3/21
网络出版日期
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备注魏健蓝(1994-),男,湖北孝感人,硕士研究生
引用该论文: WEI Jianlan,ZHAO Jizhong,DING Li,ZHANG Xu,KAN Qianhua,KANG Guozheng. Reverse Analysis for Material Parameters of Hardening Layer on Laser Quenched U71Mn Steel Rail Surface[J]. Materials for mechancial engineering, 2019, 43(4): 73~78
魏健蓝,赵吉中,丁立,张旭,阚前华,康国政. 激光淬火U71Mn钢轨面淬硬层的材料参数反演分析[J]. 机械工程材料, 2019, 43(4): 73~78
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【5】ZHENG Y L, HU Q W, LI C Y, et al. A novel laser surface compositing by selective laser quenching to enhance railway service life[J]. Tribology International, 2017, 106:46-54.
【6】魏中坤, 伍声宝, 关凯书. 球压痕法评价16MnR钢的断裂韧性[J]. 机械工程材料, 2016, 40(1):32-34.
【7】CHENG Y T, CHENG C M. Scaling approach to conical indentation in elastic-plastic solids with work hardening[J]. Journal of Applied Physics, 1998, 84(3):1284-1291.
【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(19):3899-3918.
【9】CHOLLACOOP N, DAO M, SURESH S. Depth-sensing instrumented indentation with dual sharp indenters[J]. Acta Materialia, 2003, 51(13):3713-3729.
【10】BUCAILLE J L, STAUSS S, FELDER E, et al. Determination of plastic properties of metals by instrumented indentation using different sharp indenters[J]. Acta Materialia, 2003, 51(6):1663-1678.
【11】ANTUNES J M, FERNANDES J V, MENEZES L F, et al. A new approach for reverse analyses in depth-sensing indentation using numerical simulation[J]. Acta Materialia, 2007, 55(1):69-81.
【12】PHAM T H, KIM J J, KIM S E. Estimating constitutive equation of structural steel using indentation[J]. International Journal of Mechanical Sciences, 2015, 90:151-161.
【13】徐晓燕, 梁明, 王鹏飞, 等. 测试位置对纳米压痕法测Nb/Cu复合材料线材硬度的影响[J]. 机械工程材料, 2015, 39(8):39-42.
【14】张泰华. 微/纳米力学测试技术及其应用[M]. 北京:机械工业出版社, 2005.
【15】MERLE B, MAIER-KIENER V, PHARR G M. Influence of modulus-to-hardness ratio and harmonic parameters on continuous stiffness measurement during nanoindentation[J]. Acta Materialia, 2017, 134:167-176.
【16】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.
【17】KANG G Z, GAO Q. Uniaxial and non-proportionally multiaxial ratcheting of U71Mn rail steel:Experiments and simulations[J].Mechanics of Materials, 2002, 34(12):809-820.
【18】张星, 王鹤峰, 袁国政, 等. 基于纳米压痕试验的316L不锈钢表面钛、TiN薄膜结合性能的有限元模拟[J]. 机械工程材料, 2013, 37(9):90-95.
【19】LEE J, LEE C, KIM B. Reverse analysis of nano-indentation using different representative strains and residual indentation profiles[J]. Materials & Design, 2009, 30(9):3395-3404.
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