连续球压痕法表征幂硬化金属材料拉伸性能的有限元模拟
Finite Element Simulation of Tensile Properties of Power Law Hardening Metal Materials Evaluated by Continuous Ball Indentation Technique
摘 要
应用ABAQUS软件，采用二维和三维建模方法对典型幂硬化金属材料6061铝合金的连续球压痕试验进行了模拟，得到了压痕载荷-深度曲线，并进行了压痕试验验证；基于压痕载荷-深度曲线计算得到不同方法下的拉伸性能参数，并与单轴拉伸试验结果进行对比，分析了试样厚度、相邻球压头距离等压痕试验参数对拉伸性能计算结果的影响。结果表明：采用三维建模方法得到的压痕载荷-深度曲线与球压痕试验得到的更吻合；由三维建模方法得到的表征应力、表征应变数据与拉伸试验得到的应力-应变曲线更吻合，抗拉强度和屈服强度计算值与试验值的相对误差均不超过1%，说明该方法能够准确地表征试验合金的拉伸性能；影响拉伸性能的临界试样厚度和临界相邻和压头距离均为压头半径的4倍。
有限元模拟
表征应力
表征应变
continuous ball indentation
finite element simulation
representative stress
representative strain
Abstract
The continuous ball indentation tests of typical power hardening metal material 6061 aluminum alloy were simulated using ABAQUS software by two- and three-dimensional modeling method. The indentation load-depth curves were obtained and verified by ball indentation experiments. The tensile property parameters by different methods were calculated based on the indentation load-depth curves, and compared with results from uniaxial tensile tests. The effect of sample thickness and distance between adjacent ball indenters on calculated tensile properties were analyzed. The results show that the indentation load-depth curve obtained by the three-dimensional modeling method was more consistent with the ball indentation experiment results. The representative stress and representative strain data obtained by three-dimensional modeling method was more consistent with the stress-strain curve acquired by tensile tests; the relative errors between calculated tensile strength, yield strength and experimental values were no more than 1%, indicating that the method could accurately characterize the tensile properties of test alloy. The critical sample thickness and critical distance bweeen adjacent ball indenters affecting the tensile properties were both 4 times of indenter radius.
中图分类号 TH142.1 DOI 10.11973/jxgccl201911011
所属栏目 物理模拟与数值模拟
基金项目 国家自然科学基金资助项目（11772188，11132007）
收稿日期 2018/11/2
修改稿日期 2019/9/18
网络出版日期
作者单位点击查看
联系人作者余征跃高级工程师
备注瞿力铮(1994-),男,上海人,硕士研究生
引用该论文: QU Lizheng,WU Yiwen,SHAN Qingqun,DENG Xiaowei,YU Zhengyue. Finite Element Simulation of Tensile Properties of Power Law Hardening Metal Materials Evaluated by Continuous Ball Indentation Technique[J]. Materials for mechancial engineering, 2019, 43(11): 47～52
瞿力铮,吴益文,单清群,邓小伟,余征跃. 连续球压痕法表征幂硬化金属材料拉伸性能的有限元模拟[J]. 机械工程材料, 2019, 43(11): 47～52
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参考文献
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【2】HUI C, CAI L X. Theoretical conversions of different hardness and tensile strength for ductile materials based on stress-strain curves[J]. Metallurgical and Materials Transactions A, 2018, 49(4):1090-1101.
【3】WALLEY S M. Historical origins of indentation hardness testing[J]. Materials Science and Technology, 2012, 28(9/10):1028-1044.
【4】TABOR D. The hardness of metals[M]. Oxford:Clarendon Press, 1951:67-79.
【5】SNEDDON I N. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile[J]. International Journal of Engineering Science, 1965, 3(1):47-57.
【6】HAGGAG F M, LUCAS G E. Determination of Lüders strains and flow properties in steels from hardness/microhardness tests[J]. Metallurgical Transactions A, 1983, 14(8):1607-1613.
【7】HAGGAG F M. In-situ measurements of mechanical properties using novel automated ball indentation system[M].[S.l.]:ASTM International, 1993:27-44.
【8】AHN J H, KWON D. Derivation of plastic stress-strain relationship from ball indentations:Examination of strain definition and pileup effect[J]. Journal of Materials Research, 2001, 16(11):3170-3178.
【9】JEON E, PARK J S, KWON D. Statistical analysis of experimental parameters in continuous indentation tests using Taguchi method[J]. Journal of Engineering Materials and Technology, 2003, 125(4):406-411.
【10】KIM S H, LEE B W, CHOI Y, et al. Quantitative determination of contact depth during spherical indentation of metallic materials-A FEM study[J]. Materials Science and Engineering:A, 2006, 415(1/2):59-65.
【11】苏成功, 王威强, 商显栋, 等. 连续球压痕测定常用叶轮材料力学性能的研究[J]. 流体机械, 2015, 43(2):7-12.
【12】SONG W S, KIM S G, KIM Y C, et al. Use of spherical instrumented indentation to evaluate the tensile properties of 3D combined structures[J]. Journal of Electronic Materials, 2015, 44(3):831-835.
【13】伍声宝, 徐彤, 喻灿, 等. 采用球压痕法测16MnR钢的拉伸性能[J]. 机械工程材料, 2015, 39(1):82-85.
【14】崔航, 陈怀宁, 陈静, 等. 球形压痕法评价材料屈服强度和应变硬化指数的有限元分析[J]. 金属学报, 2009, 45(2):189-194.
【15】伍声宝, 关凯书. 球压痕法评价材料拉伸性能的有限元分析[J]. 压力容器, 2012, 29(9):33-38.
【16】金桩, 赵建平. 微载荷连续球压痕法评价金属材料的屈服强度和应变硬化指数[J]. 机械工程材料, 2018, 42(1):72-77.
【17】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.
【18】HU X Z, LAWN B R. A simple indentation stress-strain relation for contacts with spheres on bilayer structures[J]. Thin Solid Films, 1998, 322(1/2):225-232.
【19】JOHNSON K L. Contact mechanics[M].Cambridge:Cambridge University Press, 1987:84-104.
【20】JEON E C, BAIK M K, KIM S H, et al. Determining representative stress and representative strain in deriving indentation flow curves based on finite element analysis[J]. Key Engineering Materials, 2005, 297/298/299/300:2152-2157.
【21】KANG S K, KIM J Y, KANG I, et al. Effective indenter radius and frame compliance in instrumented indentation testing using a spherical indenter[J]. Journal of Materials Research, 2009, 24(9):2965-2973.
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