一种修正双曲外推模型及其在应力松弛内应力预测中应用的研究

doi:10.11896/cldb.24120229

材料导报

2026, Vol. 40

Issue (4): 24120229-6 https://doi.org/10.11896/cldb.24120229

金属与金属基复合材料

一种修正双曲外推模型及其在应力松弛内应力预测中应用的研究

康文, 曹铁山, 程从前, 赵杰^*

大连理工大学材料科学与工程学院,辽宁大连 116024

Study on a Modified Hyperbolic Extrapolation Model for Predicting Internal Stress in Stress Relaxation

KANG Wen, CAO Tieshan, CHENG Congqian, ZHAO Jie^*

School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China

摘要
参考文献
相关文章
推荐阅读
Metrics

下载:

全文 ( PDF ) ( 6024KB )
输出: BibTeX | EndNote (RIS)

摘要在应力松弛过程中,内应力作为一种非热分量,其大小对材料内部微观结构的演变和应力松弛变化趋势的分析具有关键作用。平均位错速度模型和双曲外推模型在一定条件下可以提供内应力预测的参考,但由于未充分考虑位错密度变化和应力松弛过程中内应力随时间的动态变化,对应变硬化效应的处理存在不足,导致在不同预应变条件下预测的内应力可能出现异常或高估现象。因此,为了更准确地预测不同预应变条件下的内应力,本研究提出了一种修正的双曲外推模型。通过引入校正因子κ对原模型进行修正,优化了原双曲外推模型在不同预应变条件下应力松弛过程中的硬化特性,使得预测的内应力与应力瞬态下降实验测得的结果更加吻合,显著增强了模型的适应性和预测精度。

	服务
	把本文推荐给朋友
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	康文
	曹铁山
	程从前
	赵杰

关键词: 应力松弛内应力平均位错速度模型双曲外推模型

Abstract: During stress relaxation, the thermal internal stress is essential for understanding how the internal microstructure of the material evolves and how stress relaxation proceeds. The average dislocation velocity model and the hyperbolic extrapolation model can provide reference predictions of internal stress under certain conditions. However, these common models do not fully account for changes in dislocation density and the time-dependent evolution of internal stress during relaxation. As a result, predictions of internal stress under different pre-strain levels may be inaccurate or overestimated due to the insufficient consideration of strain-hardening effects. To improve the accuracy of predicting internal stress under varying pre-strain levels, this study proposes a modified hyperbolic extrapolation model by introducing a correction factor κ. This modification optimizes the hardening behavior during stress relaxation at different pre-strain levels, bringing the predicted internal stress values closer to experimental measurements of the instantaneous stress drop and significantly enhancing adaptability and predictive accuracy of the model.

Key words: stress relaxation internal stress average dislocation velocity model hyperbolic extrapolation model

出版日期: 2026-02-25 发布日期: 2026-02-13

ZTFLH:

TG142.73

基金资助: 航空发动机及燃气轮机基础科学中心项目(P2021-A-IV-001-001);船用燃气轮机基础研究项目(MGT2023001);国家自然科学基金(51901035)

通讯作者: * 赵杰,大连理工大学材料科学与工程学院教授、博士研究生导师。主要研究方向为金属材料蠕变、组织演化、材料的损伤及寿命预测。jiezhao@dlut.edu.cn

作者简介: 康文,大连理工大学材料科学与工程学院博士研究生,在赵杰教授的指导下进行研究。目前主要研究领域为持久寿命预测及其可靠性。

引用本文:

康文, 曹铁山, 程从前, 赵杰. 一种修正双曲外推模型及其在应力松弛内应力预测中应用的研究[J]. 材料导报, 2026, 40(4): 24120229-6.
KANG Wen, CAO Tieshan, CHENG Congqian, ZHAO Jie. Study on a Modified Hyperbolic Extrapolation Model for Predicting Internal Stress in Stress Relaxation. Materials Reports, 2026, 40(4): 24120229-6.

链接本文:

https://www.mater-rep.com/CN/10.11896/cldb.24120229 或 https://www.mater-rep.com/CN/Y2026/V40/I4/24120229

1 Wang Y Q, Spindler M W, Truman C E, et al. Materials and Design, 2016, 95, 656.
2 Humphries S R, Snowden K U, Yeung W. Materials Science and Engineering:A, 2010, 527(13-14), 3240.
3 Fu H M, Wu Q. Journal of Aerospace Power, 2010, 25(9), 1989(in Chinese).
傅惠民, 吴琼. 航空动力学报, 2010, 25(9), 1989.
4 Yang X, Wang Y, Wang G, et al. Acta Materialia, 2016, 108, 252.
5 Zhao Y Y, Zhang Y M, Song K X. Journal of Henan University of Science and Technology (Natural Science), 2017, 38(1), 6(in Chinese).
赵亚永, 张彦敏, 宋克兴. 河南科技大学学报(自然科学版), 2017, 38(1), 6.
6 Hariharan K, Dubey P, Jain J. Materials Science and Engineering:A, 2016, 673, 250.
7 Durrenberger L, Molinari A, Rusinek A. Materials Science and Engineering:A, 2008, 478(1-2), 297.
8 Varma A, Krishnaswamy H, Jain J, et al. Mechanics of Materials, 2019, 133, 138.
9 Li J, Zhang J Y, Liu G, et al. International Journal of Plasticity, 2016, 85, 172.
10 Jiang H, Dong J X, Zhang M C, et al. Acta Metallurgica Sinica, 2019, 55(9), 1211(in Chinese).
江河, 董建新, 张麦仓, 等. 金属学报, 2019, 55(9), 1211.
11 Suzuki Y, Ueno K, Murasawa K, et al. Materials Science and Enginee-ring A, 2020, 794, 139585.
12 Liu H J, Xie J, Li W M, et al. Journal Plasticity Engineering, 2023, 30(7), 110(in Chinese).
刘厚吉, 谢健, 李祎曼, 等. 塑性工程学报, 2023, 30(7), 110.
13 Siska F, Stratil L, Hadraba H, et al. Materials Science and Engineering:A, 2017, 689, 34.
14 Solberg J K. Journal of Materials Science, 1986, 21(2), 630.
15 Li Y, Shi Z S, Lyu F G, et al. Journal of Mechanical Engineering, 2022, 58(6), 42(in Chinese).
李勇, 石朱生, 吕凤工, 等. 机械工程学报, 2022, 58(6), 42.
16 Mishra S, Beura V K, Singh A, et al. Metallurgical and Materials Tran-sactions A, 2018, 49(7), 2631.
17 Lee H, Chae H, Kim Y S, et al. Mechanics of Materials, 2021, 158, 103899.
18 Kruml T, Coddet O, Martin J L. Acta Materialia, 2008, 56(3), 333.
19 Northwood D O, Smith I O. Scripta Metallurgica, 1984, 18, 521.
20 Tobolová Z,adek J. Philosophical Magazine, 1972, 26(6), 1419.
21 Rahimi S, King M, Dumont C, et al. Materials Science and Engineering:A, 2017, 708, 563.
22 Yang M X, Pan Y, Yuan F P, et al. Materials Research Letters, 2016, 4(3), 145.
23 Rajendran R, Paik J K, Lee J M, et al. Materials and Design, 2008, 29(2), 427.
24 Praveen C, Christopher J, Ganesan V, et al. Mechanics of Materials, 2019, 137, 103122.
25 Gao S, Fivel M, Ma A, et al. Journal of the Mechanics and Physics of Solids, 2017, 102, 209.
26 Zhang X, Xiong J, Fan H D, et al. Modelling and Simulation in Materials Science and Engineering, 2019, 27, 074003.
27 Mohebbi M S, Akbarzadeh A, Yoon Y, et al. Mechanics of Materials, 2015, 89, 23.
28 Batist R D, Callens A. Physica Status Solidi A, 1974, 21, 591.
29 Kubát J, Rigdahl M. Materials Science and Engineering, 1976, 24, 223.

[1]	丁许, 孙颖, 陈利. 聚芳酯纤维松弛温度及松弛行为研究[J]. 材料导报, 2025, 39(13): 24050099-7.
[2]	周涛, 张笑晴, 陈家荣, 杨晨艺, 雷彩红. 厚朴酚基形状记忆环氧树脂的制备及性能研究[J]. 材料导报, 2025, 39(11): 24020002-7.
[3]	吴护林, 李忠盛, 金应荣, 贺毅. 弹簧应力松弛反常载荷损失及原因分析[J]. 材料导报, 2023, 37(23): 22090089-6.
[4]	王民, 樊向阳, 王滔, 罗蓉, 胡德勇, 石晨光. 无损状态下钢桥面沥青铺装材料变形恢复特性[J]. 材料导报, 2021, 35(Z1): 269-273.
[5]	王子云, 赵鹏越, 郭永博, 张凯, 王康. 梯度纳米多晶铜纳米切削过程的分子动力学仿真[J]. 材料导报, 2019, 33(Z2): 419-423.
[6]	康学良, 董世运, 汪宏斌, 门平, 徐滨士, 闫世兴. 基于磁巴克豪森原理的铁磁材料各向异性检测技术综述[J]. 材料导报, 2019, 33(1): 183-190.
[7]	朱麟,刘新宝,辛甜,潘成飞,刘剑秋. 基于微观组织演化的P91钢长时蠕变寿命预测*[J]. 材料导报编辑部, 2017, 31(10): 137-140.

[1]	LI Chaolei. Study on Radial Pores Structure of Microporous Layer with High Mass Transportation in Proton Exchange Membrane Fuel Cells[J]. Materials Reports, 2026, 40(1): 25010096 -5 .
[2]	ZHOU Jiajia. Uniaxial Tensile Properties and Compressive Strength of Limestone Calcined Clay-based Engineered Cementitious Composites[J]. Materials Reports, 2026, 40(1): 24120246 -8 .
[3]	ZHAO Jiazheng. Metallic Heterostructured Materials: Classification,Toughening Mechanisms,and Development Trends[J]. Materials Reports, 2026, 40(1): 25020015 -16 .
[4]	ZHANG Xiaohang. Research Progress on Brazing Methods of Silicon Nitride Ceramics and Metals[J]. Materials Reports, 2026, 40(1): 25010049 -12 .
[5]	XU Chaoliang. Review of the Effect of Irradiation-Assisted Stress Corrosion Cracking on Stainless Steel in Light Water Reactor Environments[J]. Materials Reports, 2026, 40(1): 25010139 -11 .
[6]	FENG Kaibin, LIU Runcong, LI Silong, WU Yunfei, NA Xianzhao, WANG Xiaodong. Detection of the Oscillation Marks on Casting Slabs Using Magnetic Flux Variation and the Nonexcitation Method[J]. Materials Reports, 2026, 40(1): 25010165 -10 .
[7]	LI Bin. Research Progress of Abrasive Flow Machining in the Processing of Complex Microporous Structures Materials for Aeronautic Applications[J]. Materials Reports, 2026, 40(1): 25020122 -12 .
[8]	WAN Yuhui. Study on Room Temperature Deformation Behavior of Magnesium-Bismuth Binary Alloy[J]. Materials Reports, 2026, 40(1): 25010137 -6 .
[9]	YI Shifeng, CHEN Xiaomin. Prediction of High-temperature Tensile Fracture Behavior of GH4169 Alloy Based on the Oyane-Sato Criterion[J]. Materials Reports, 2026, 40(1): 25010099 -7 .
[10]	YIN Ziluo. Dielectric and Mechanical Properties of Polypropylene Fiber-reinforced Cross-linked Polystyrene[J]. Materials Reports, 2026, 40(1): 25010020 -6 .

Viewed

Full text

Abstract

Cited

Shared

Discussed