测定材料应力-应变关系的平面冲杆试验方法研究

doi:10.3901/JME.260562

机械工程学报 ›› 2026, Vol. 62 ›› Issue (12): 193-201.doi: 10.3901/JME.260562

• 材料科学与工程 • 上一篇

扫码分享

测定材料应力-应变关系的平面冲杆试验方法研究

马文智^1,2, 包陈^1,2, 谭林海^1,2

1. 西南交通大学力学与航空航天学院成都 610031;
2. 先进结构材料力学行为与服役安全四川省重点实验室成都 610031

收稿日期:2025-07-15 修回日期:2025-12-11 发布日期:2026-08-03
作者简介:马文智，男，1999年出生。主要研究方向为材料力学性能表征与测试方法。E-mail:1125339910@qq.com
包陈(通信作者)，男，1982年出生，博士，教授，博士研究生导师。主要研究方向为断裂力学、材料测试理论与技术。E-mail:bchxx@163.com
谭林海，男，2001年出生，硕士。主要研究方向为材料力学性能表征与测试方法。E-mail:2451038782@qq.com

Research on Flat Punch Test Method for Determining Stress-strain Relationship of Materials

MA Wenzhi^1,2, BAO Chen^1,2, TAN Linhai^1,2

1. School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031;
2. Sichuan Province Key Laboratory of Advanced Structural Materials Mechanical Behavior and Service Safety, Chengdu 610031

Received:2025-07-15 Revised:2025-12-11 Published:2026-08-03

摘要/Abstract

摘要： 基于能量密度等效原理，推导了平面冲杆加载条件下圆片试样的载荷-位移关系模型，模型中考虑了材料本构参数和试样几何尺寸变化的影响。在此模型基础上，提出了求解被测材料等效应力、应变的方法，该方法无须预设材料本构关系，可由圆片试样的载荷-位移曲线实时预测应力-应变曲线。对平面冲杆加载试验进行弹塑性模拟分析，给出了不同摩擦因数对应力-应变关系的影响，结果表明摩擦对此类静态接触分析的载荷-位移曲线影响较小。继而通过预设5种不同硬化水平的应力-应变关系确定了圆片试样的载荷-位移关系模型参数。通过32种预设材料本构关系的平面冲杆试验有限元模拟分析以及3种材料的拉伸和平面冲杆对比试验来验证所提方法的有效性研究结果表明，方法获得的应力-应变曲线与有限元分析预设曲线和拉伸试验结果吻合良好。

关键词: 平面冲杆试验, 圆片试样, 能量密度等效, 载荷-位移关系模型, 应力-应变曲线

Abstract: Based on the principle of energy density equivalence, the load-displacement model of cylindrical specimen in the flat punch test is derived. The influences of material constitutive parameters and specimen geometry are considered in the model. Based on this model, a method is proposed to solve the equivalent stress and strain of the tested material. The method can predict the stress-strain curve of the specimen via the load-displacement experimental curve, without the presupposing the constitutive relation of the material. Elasto-plastic simulation analysis was conducted on the flat punch loading test, and the influence of different friction coefficients on the stress-strain relationship was presented. The results indicated that friction had a minor impact on the load-displacement curve of this type of static contact analysis. Subsequently, the load-displacement relationship model parameters of the circular plate specimen were determined by presetting five different hardening levels of the stress-strain relationship. The validity of the proposed method is verified by the finite element analysis of 32 presupposed constitutive relationships and the comparison between the tensile test and the flat punch test of 3 materials. The results show that the stress-strain curves obtained by the proposed method are in good agreement with the presupposed curves in the finite element analysis and the tensile test results.

Key words: flat punch test, disc sample, energy density equivalence, load-displacement relationship model, stress-strain curve

中图分类号:

O341

马文智, 包陈, 谭林海. 测定材料应力-应变关系的平面冲杆试验方法研究[J]. 机械工程学报, 2026, 62(12): 193-201.

MA Wenzhi, BAO Chen, TAN Linhai. Research on Flat Punch Test Method for Determining Stress-strain Relationship of Materials[J]. Journal of Mechanical Engineering, 2026, 62(12): 193-201.

导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks

链接本文: http://www.cjmenet.com.cn/CN/10.3901/JME.260562

http://www.cjmenet.com.cn/CN/Y2026/V62/I12/193

参考文献

[1] MAO Xinyuan，TAKAHASHI H. Development of a further-miniaturized specimen of 3 mm diameter for tem disk (ø 3 mm) small punch tests[J]. Journal of Nuclear Materials，1987，150(1):42-52.
[2] HOLMSTRÖM S，SIMONOVSKI I，BARALDI D，et al. Developments in the estimation of tensile strength by small punch testing[J]. Theoretical and Applied Fracture Mechanics，2019，101:25-34.
[3] VIJAYANAND V D，MOKHTARISHIRAZABAD M，PENG J，et al. A novel methodology for estimating tensile properties in a small punch test employing in situ DIC based deflection mapping[J]. Journal of Nuclear Materials，2020，538:152260.
[4] BRUCHHAUSEN M，HOLMSTRÖM S，SIMONOVSKI I，et al. Recent developments in small punch testing:Tensile properties and DBTT[J]. Theoretical and Applied Fracture Mechanics，2016，86:2-10.
[5] SIMONOVSKI I，BARALDI D，HOLMSTRÖM S，et al. Determining the ultimate tensile strength of fuel cladding tubes by small punch testing[J]. Journal of Nuclear Materials，2018，509:620-630.
[6] TURBA K，GÜLÇIMEN B，LI Y Z，et al. Introduction of a new notched specimen geometry to determine fracture properties by small punch testing[J]. Engineering Fracture Mechanics，2011，78(16):2826-2833.
[7] ÁLVAREZ G，RODRÍGUEZ C，BELZUNCE F J，et al. Use of notched small punch test specimens for the determination of fracture properties in structural steels[J]. Theoretical and Applied Fracture Mechanics，2020，106:102442.
[8] ZHONG Jiru，XU Tong，WANG Wulin，et al. Use of database and small punch test to estimate true stress-plastic strain curve of steels[J]. International Journal of Pressure Vessels and Piping，2021，191:104370.
[9] HUSAIN A，SEHGAL D K，PANDEY R K. An inverse finite element procedure for the determination of constitutive tensile behavior of materials using miniature specimen[J]. Computational Materials Science，2004，31(1-2):84-92.
[10] CHEON J S，JOO C H. Small punch test for determining a flow stress by using a hybrid inverse procedure[J]. Computational Materials Science，2008，43(4):744-751.
[11] ZHONG Jiru，SONG Ming，GUAN Kaishu，et al. Application of a database in the evaluation of strengths of Cr-Mo steels by means of small punch test[J]. International Journal of Mechanical Sciences，2020，166:105195.
[12] PENG Yunqiang，CAI Lixun，CHEN Hui，et al. A new method based on energy principle to predict uniaxial stress-strain relations of ductile materials by small punch testing[J]. International Journal of Mechanical Sciences，2018，138-139:244-249.
[13] 董樑. 微型圆片试样液压爆破法测试压力容器用钢强度性能的研究[D]. 上海:华东理工大学，2015. DONG Liang. Study on the strength and performance of steel used in pressure vessels tested by hydraulic blasting of microdisc sample[D]. Shanghai:East China University of Science and Technology，2015.
[14] 周甜，蔡力勋，韩光照. 用于延性材料力学性能测定的圆柱平面-小冲杆试验新方法与应用[J]. 机械工程学报，2024，60(4):316-325. ZHOU Tian，CAI Lixun，HAN Guangzhao. Novel flat-SPT method for obtaining mechanical properties of ductile materials and its application[J]. Journal of Mechanical Engineering，2024，60(4):316-325.
[15] PENG Yunqiang，CAI Lixun，CHEN Hui，et al. A novel semi-analytical method based on equivalent energy principle to obtain J resistance curves of ductile materials[J]. International Journal of Mechanical Sciences，2018，148:31-38.
[16] CHEN Hui，CAI Lixun. Unified ring-compression model for determining tensile properties of tubular materials[J]. Materials Today Communications，2017，13:210-220.
[17] CHEN Hui，CAI Lixun. A universal elastic-plastic model correlating load-displacement relation and constitutive parameters for typical testing components[J]. Results in Physics，2019，13:102230.
[18] CHEN Hui，CAI Lixun. Unified elastoplastic model based on a strain energy equivalence principle[J]. Applied Mathematical Modelling，2017，52:664-671.
[19] CHEN Hui，CAI Lixun. An elastoplastic energy model for predicting the deformation behaviors of various structural components[J]. Applied Mathematical Modelling，2019，68:405-421.
[20] HAN Guangzhao，CAI Lixun，HUANG Maobo，et al. Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application[J]. Materials & Design，2021，212:110217.
[21] 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.
[22] 国家市场监督管理总局，国家标准化管理委员会. 金属材料拉伸试验第1部分:室温试验方法:GB/T 228.1—2021[S]. 北京:中国标准出版社，2021. Standardization Administration of the People’s Republic of China. Metallic materials—Tensile testing:Part 1:Method of test at room temperature:GB/T 228.1—2021[S]. Beijing:Standards Press of China，2021.
[23] AMMAR H R，HAGGAG F M，ALABOODI A S，et al. Nondestructive measurements of flow properties of nanocrystalline Al-Cu-Ti alloy using automated ball indentation (ABI) technique[J]. Materials Science and Engineering:A，2018，729:477-486.
[24] 徐彤，寿比南，关凯书，等. 小冲杆试验方法标准化研究(一):通用要求[J]. 压力容器，2010，27(7):37-46. XU Tong，SHOU Binan，GUAN Kaishu，et al. Study on standardization of small punch test(1):General requirements[J]. Pressure Vessel Technology，2010，27(7):37-46.
[25] 邹晓慧. 小冲杆试验法评价材料力学性能的研究[D]. 上海:华东理工大学，2012. ZOU Xiaohui. Research of material mechanical properties by small punch testing[D]. Shanghai:East China University of Science and Technology，2012.

测定材料应力-应变关系的平面冲杆试验方法研究

Research on Flat Punch Test Method for Determining Stress-strain Relationship of Materials

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

本文评价

[1]	周甜, 蔡力勋, 韩光照. 用于延性材料力学性能测定的圆柱平面-小冲杆试验新方法与应用[J]. 机械工程学报, 2024, 60(4): 316-325.
[2]	杜开开, 包陈, 何广伟. 弯曲载荷下含半椭圆表面裂纹平板疲劳裂纹扩展试验方法研究[J]. 机械工程学报, 2024, 60(24): 153-162.
[3]	张泽权, 蔡力勋, 韩光照, 黄茂波. 基于弹塑性解析方程的薄片试样低周疲劳试验方法[J]. 机械工程学报, 2023, 59(6): 72-83.
[4]	肖怀荣, 蔡力勋, 于思淼, 包陈. 基于能量密度等效和三维尺寸的I型裂纹试样弹塑性问题的半解析求解[J]. 机械工程学报, 2022, 58(14): 241-251.
[5]	邹宗园, 韩舒婷, 王宏中, 李群, 郭宝峰, 金淼. 考虑循环软化的箱型承载结构安定性分析[J]. 机械工程学报, 2021, 57(2): 62-69.
[6]	黄茂波, 蔡力勋, 祁爽. 基于能量密度等效的Ⅰ-Ⅱ型裂纹K因子半解析模型[J]. 机械工程学报, 2020, 56(22): 68-75.