一种新型的疲劳强度预测模型

doi:10.16183/j.cnki.jsjtu.2021.051

摘要/Abstract

摘要：

疲劳破坏是工程应用构件失效的最主要原因之一.但由于疲劳实验成本过高,有必要用力学性能对疲劳强度进行预测.基于真实应力应变曲线,建立了一种新型的疲劳强度预测模型,并运用这种模型计算疲劳强度,与“升降法”和Basquin公式计算的疲劳强度作对比.结果表明:该模型仅需通过抗拉强度和加工硬化强度就可得到材料的疲劳强度,并且适用于其他钢种,极大地节约了成本,精确度也较高.

关键词: 疲劳强度预测模型, 真实应力应变曲线, Basquin公式, 疲劳强度参数

Abstract:

Fatigue failure is one of the most important reasons for the failure of engineering application components. However, due to the high cost of fatigue experiments, it is necessary to use mechanical properties to predict fatigue strength. Based on the true stress-strain curves, a novel model for fatigue strength prediction is established and is used to calculate the fatigue strength. The strength predicted is compared with that calculated by the staircase method and the Basquin equation. The results show that the model could obtain the fatigue strength of the materials only by using tensile strength and work-hardening strength, and it is suitable for other steels, which greatly saves costs and increases accuracy.

Key words: fatigue strength prediction model, true stress-strain curve, Basquin equation, fatigue strength parameters

中图分类号:

TG142.25
TG405

段红燕, 唐国鑫, 盛捷, 曹孟杰, 裴磊, 田宏伟. 一种新型的疲劳强度预测模型[J]. 上海交通大学学报, 2022, 56(6): 801-808.

DUAN Hongyan, TANG Guoxin, SHENG Jie, CAO Mengjie, PEI Lei, TIAN Hongwei. A Novel Prediction Model for Fatigue Strength[J]. Journal of Shanghai Jiao Tong University, 2022, 56(6): 801-808.

图/表 15

表1

图1

表2

表3

表4

图2

图3

图4

图5

图6

表5

疲劳强度参数与力学性能之间关系的总结

σ'_f/MPa	b	公式	文献
σ'_f=2.5 $H V + 120 S i n 16$	b=- $148$	(11)	[18]
σ'_f= 1.12 $(H V + 120) 98 S i n 18$	b= $13$ lg $1.35 (H V + 120) 116 S i n 148$	(12)	[19]
σ'_f=α+βσ_b	b= $C, σ b < σ b c φ + ϕ σ b, σ b ≥ σ b c$	(13)	[20]

表5

图7

表6

图8

图9

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元素	质量分数/%
C	0.054
Mn	0.79
S	0.002
P	0.034
Si	0.42
Cr	17.27
Ni	8.14

实验件序号	S_i/MPa	失效	未失效
2	200		√
7	210		√
10	210	√
4	220		√
6	220	√
8	230	√

实验件序号	S_i/MPa	失效	未失效
6	420		√
1	440		√
7	440		√
5	440	√
3	460	√
4	460	√

实验件序号	S_i/MPa	失效	未失效
3	450		√
10	470	√
11	470		√
4	490		√
7	490	√
6	490	√

试件	σ_b/MPa	σ_s/MPa	σ'_f/MPa	b	σ_w(Exp)/MPa	σ_w(Cal)/MPa	误差/%
A	730	303	322.99	-0.0271	215	208.68	-2.94
B	886	770	689.41	-0.0295	443	428.53	-3.27
C	962	925	835.66	-0.0373	480	458.07	-4.57