Strength Evaluation of Metal Materials by Spherical Indentation Test Method
摘 要
通过单次压痕试验与有限元模拟相结合的方法,结合反向分析方法与模拟退火粒子群算法,从获得的载荷-深度曲线加载部分提取材料的塑性参数,基于Ludwig硬化模型预测了不同金属材料的强度,并与单轴拉伸试验结果进行对比。结果表明:模拟得到的载荷-深度曲线与试验得到的几乎重合,二者的相对误差小于0.5%,说明模拟退火粒子群算法可有效地从压痕载荷-深度曲线中提取出金属材料的塑性参数;基于Ludwig硬化模型,利用反向分析方法从压痕载荷-深度曲线中提取的真应力-真塑性应变曲线不是唯一的,但从真应力-真塑性应变曲线计算得到的强度具有明显的收敛趋势;采用压痕试验得到不同金属材料的强度均接近于由拉伸试验得到的,屈服强度与抗拉强度的最大相对误差分别为5.9%,4.3%,说明采用压痕试验法可以准确地评价金属材料的强度。
Abstract
The plastic parameters of materials were extracted from the loading part of load-depth curves obtained by coupling single indentation test and finite element simulation, and combining inverse method and simulated annealing particle swarm optimization. The strength of different metal materials was estimated on the basis of Ludwig hardening model and compared with the results obtained by uniaxial tensile test. The results show that the load-depth curves obtained by simulation almost coincided with those obtained by tests, and the relative error was less than 0.5%, indicating that plastic parameters could be extracted from indentation load-depth curves by simulated annealing particle swarm optimization. The true stress-true plastic strain curves extracted from indentation load-depth curves by inverse method based on Ludwig hardening model were not unique, but obvious convergence tendency of the strength estimated from the extracted true stress-true plastic strain could be observed. The strength of different metal materials obtained by the indentation tests was close to that obtained by tensile tests; the biggest relative errors of the yield strength and tensile strength were 5.9% and 4.3%, respectively, indicating that the strength of the metal materials could be evaluated accurately by indentation test method.
中图分类号 TG115.5 DOI 10.11973/jxgccl202101014
所属栏目 物理模拟与数值模拟
基金项目
收稿日期 2019/10/22
修改稿日期 2020/8/18
网络出版日期
作者单位点击查看
备注黄礼洋(1991-),男,重庆人,博士研究生
引用该论文: HUANG Liyang,GUAN Kaishu. Strength Evaluation of Metal Materials by Spherical Indentation Test Method[J]. Materials for mechancial engineering, 2021, 45(1): 85~91
黄礼洋,关凯书. 球压痕试验法评价金属材料的强度[J]. 机械工程材料, 2021, 45(1): 85~91
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【3】李河清,蔡殉,马峰,等.压痕法测定薄膜(涂层)的界面结合强度[J].机械工程材料,2002,26(4):11-13. LI H Q, CAI X, MA F, et al. Determination of the interfacial bonding strength of thin films and coatings using indentation method[J]. Materials for Mechanical Engineering, 2002,26(4):11-13.
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【6】孙明成,张超群,韩德斌, 等.球形压痕表征应力应变法测金属材料的力学性能[J].机械工程材料,2017,41(9):106-110. SUN M C, ZHANG C Q, HAN D B, et al.Ball indentation representative stress-strain method testing mechanical properties of metals[J].Materials for Mechanical Engineering, 2017,41(9):106-110.
【7】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. JIN Z, ZHAO J P. Yield strength and strain hardening exponent of metal material evaluated by micro-load continuous ball indentation method[J].Materials for Mechanical Engineering, 2018,42(1):72-77.
【8】邹镔.用连续球压痕试验法确定材料断面收缩率[D].上海:华东理工大学,2016. ZOU B. Determination of percentage reduction of area by continuous ball indentation test[D]. Shanghai:East China University of Science and Technology, 2016.
【9】FIELD J S, SWAIN M V.A simple predictive model for spherical indentation[J].Journal of Materials Research,1993,8(2):297-306.
【10】LI Y G,KANOUTÉ P,FRANÇOIS M, et al.Inverse identification of constitutive parameters with instrumented indentation test considering the normalized loading and unloading P-h curves[J].International Journal of Solids and Structures,2019,156/157:163-178.
【11】GOTO K,WATANABE I, OHMURA T.Determining suitable parameters for inverse estimation of plastic properties based on indentation marks[J].International Journal of Plasticity,2019,116:81-90.
【12】LUO J,LIN J, DEAN T A.A study on the determination of mechanical properties of a power law material by its indentation force-depth curve[J].Philosophical Magazine,2006,86(19):2881-2905.
【13】PHAM T H,PHAN Q M, KIM S E.Identification of the plastic properties of structural steel using spherical indentation[J].Materials Science and Engineering:A,2018,711:44-61.
【14】YU Y F,LI G, XU C.An improved particle swarm optimization algorithm[J].Applied Mechanics and Materials,2013,401(5):1328-1335.
【15】BEGHINI M,BERTINI L, FONTANARI V.Evaluation of the stress-strain curve of metallic materials by spherical indentation[J].International Journal of Solids and Structures,2006,43(7/8):2441-2459.
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【18】钟继如.基于混合粒子群算法的小冲杆试验预测材料强度的研究[D].上海:华东理工大学,2019. ZHONG J R. Study on predicting material strength using small punch test and hybride particle swarm optimization[D]. Shanghai:East China University of Science and Technology, 2019.
【19】宋玉泉,索忠林,管志平,等.材料参数对拉伸失稳影响的力学解析[J].金属学报,2006,42(4):337-340. SONG Y Q, SUO Z L. GUAN Z P, et al. Mechanical analysis of tensile instability due to material parameter[J]. Acta Metallurgica Sinica, 2006,42(4):337-340.
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