The material sensitivity coefficient of Fatemi-Socie model (FS model) is proved to be not a constant for different materials and the effect of the shear stress on fatigue life is not considered. In this condition, a new multiaxial fatigue prediction model considering the shear stress and material sensitivity is established based on the critical plane method in this paper. Firstly, the material plane with the maximum shear strain amplitude is defined as the critical plane and a calculating method to determine the location of critical plane is presented. Secondly, a calculating method of material sensitivity coefficient k' is proposed considering the effects of both the stress and strain on the critical plane by investigating the relationship between material sensitivity coefficient and the multiaxial fatigue life. Besides, the effect of the normal strain amplitude on the critical plane is considered because it has a certain impact on multiaxial fatigue life. Finally, four materials, including 45 steel, 316 L stainless steel, GH4169 alloy, and 7075-T651 aluminum alloy, are adopted to verify the feasibility and correctness of the proposed model under the proportional and non-proportional loading condition by comparing the equivalent strain model, the maximum shear strain model, the SWT model, KBM model, and FS model with the experimental result. The comparison results show that the prediction life of the proposed model is only second to the KBM model under multiaxial proportional loadings, but the prediction capability is superior to the other five models and the majority of the prediction results are within the scatter band with factor 3 under non-proportional loadings.

Fatemi-Socie 模型（FS 模型）的材料敏感性系数被证明对于不同的材料不是一个常数，并且没有考虑剪切应力对疲劳寿命的影响。在这种情况下，本文基于临界平面法建立了一种新的考虑剪切应力和材料敏感性的多轴疲劳预测模型。首先，将剪切应变幅值最大的材料面定义为临界面，提出了确定临界面位置的计算方法。二、材料敏感系数k的计算方法通过研究材料敏感系数与多轴疲劳寿命之间的关系，提出了考虑应力和应变对临界平面的影响。此外，由于法向应变幅对多轴疲劳寿命有一定影响，因此考虑了临界平面上的法向应变幅值的影响。最后，采用45钢、316L不锈钢、GH4169合金和7075-T651铝合金四种材料，通过等效应变比较，验证了所提模型在比例加载和非比例加载条件下的可行性和正确性。模型、最大剪应变模型、SWT 模型、KBM 模型和 FS 模型与实验结果。