基于切应变能密度的拉扭双轴疲劳寿命预测模型

李静; 华腾飞; 刘豪; 仇原鹰

doi:10.13224/j.cnki.jasp.20230574

基于切应变能密度的拉扭双轴疲劳寿命预测模型

doi: 10.13224/j.cnki.jasp.20230574

西安电子科技大学机电工程学院，西安 710071

基金项目: 陕西省自然科学基础研究计划（2023-JC-YB-328）；中央高校基本科研业务费（ZYTS23014）

详细信息

作者简介:
李静（1985-），男，副教授，博士，主要从事金属材料的疲劳与断裂研究。E-mail：lijing02010303@163.com

中图分类号: V231.95；O346.2
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出版历程
- 收稿日期: 2023-09-07
- 网络出版日期: 2024-06-24

Biaxial fatigue life prediction model based on the shear strain energy density for axial-torsional loading

School of Mechano-Electronic Engineering，Xidian University，Xi’an 710071，China

摘要

摘要:
在分析Fatemi-Socie疲劳寿命预测模型不足的基础上，定义具有较大法向应变范围的最大切应变范围平面为临界平面，提出了一种基于切应变能密度的多轴疲劳寿命预测模型，给出了模型中各疲劳破坏参数、材料常数和临界平面位置的确定步骤，并利用6种材料的疲劳试验结果对所建模型进行了验证。结果表明：利用平均应力敏感系数修正后的平均切应力，既可以反映不同材料对平均切应力敏感程度的不同，也可以很好地反映平均切应力对材料多轴疲劳损伤的影响。在拉扭比例加载、非比例加载和非对称加载下，分别有100%、93.2%、90.4%的预测结果位于3倍误差带内。
- 双轴疲劳 /
- 平均应力 /
- 敏感系数 /
- 寿命预测 /
- 应变能密度
Abstract:
A shear strain-energy-density-based multiaxial fatigue life prediction model was proposed after analyzing the draw-backs of the Fatemi-Socie model. In this developed criterion, the critical plane was defined as the plane of maximum shear strain range with larger normal strain. Step-by-step procedures were outlined to determine the orientation of the defined critical plane, the material constants and the damage parameters incorporated in the proposed model. Besides, the reliability of the developed criterion was systematically validated using the experimental data through testing of 6 kinds of materials. It was found that the mean shear stress modified by the introduced mean shear stress sensitivity coefficient can reflect not only the different degrees of sensitivity of materials to mean shear stress, but also the influence of mean shear stress on multiaxial fatigue damage of materials. Under the proportional, non-proportional, and asymmetric loadings, 100%, 93.2%, and 90.4% of the predicted results fell within the factor-of-three boundary, respectively.
- biaxial fatigue /
- mean stress /
- sensitivity coefficient /
- life prediction /
- strain energy density

HTML

图 1 拉扭加载下光滑薄壁圆管试件表面的应力应变状态

Figure 1. Stress-strain state for the smooth tube under axial-torsional loading

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图 2 SAE 9245钢平均切应力与疲劳寿命的关系^[20]

Figure 2. Relationships between mean shear stress and fatigue life for SAE 9245 steel^[20]

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图 3 Inconel 718合金裂纹扩展长度与疲劳寿命的关系^[21]

Figure 3. Relationships between the crack growth length and fatigue life for inconel 718 alloy^[21]

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图 4 2A12-T4铝合金最大切应力和疲劳寿命的关系^[22]

Figure 4. Relationship between maximum shear stress and fatigue life for 2A12-T4 aluminum alloy^[22]

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图 5 计算κ值的示意图

Figure 5. Schematic illustration of the determination of κ value

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图 6 加载路径^[27-32]

Figure 6. Considered loading paths^[27-32]

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图 7 稳态循环应力幅计算值与试验值的对比

Figure 7. Comparison between the calculated and experimental values of steady-state cyclic stress amplitude

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图 8 所建模型的疲劳寿命预测结果^[27-32]

Figure 8. Prediction results of the proposed model^[27-32]

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表 1 材料的机械性能和疲劳性能参数^[27-32]

Table 1. Monotonic and fatigue performance parameters for the considered materials^[27-32]

参数	7075-T651	30CrMnSiA	S460N	1045HR	SA333Gr.6	16MnR
E/GPa	71.7	207	208.5	202.0	203.0	212.5
G/GPa	27.5	77.2	80.2	79.1	78.0	81.1
σ_y/MPa	501	1196	500.0	380.0	307.0	324.0
$\tau'_{\mathrm{f}} $/MPa	797	1113.2	529.0	505.0	442.7	617.0
b_o	−0.126	−0.09	−0.096	−0.097	−0.086	−0.101
$\gamma '_{\mathrm{f}} $	5.42	0.423	0.213	0.413	0.308	1.568
c_o	−1.173	−0.56	−0.418	−0.445	−0.426	−0.651
κ	0.39	0.28	0.78	1.24	0.59	0.42
β	0.31	0.23	0.85
加载路径	O，P，S，V	Q-Y	A-H，K-N	A，C，I，J	A-C	A，C

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