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采用弹塑性有限元方法研究了疲劳裂纹尖端的塑性区形状和尺寸以及加载与卸载过程中裂纹面形状的变化。通过比较相同条件下静态裂纹与疲劳裂纹面张开位移的差异，研究了疲劳裂纹尖端尾纹中残留塑性变形的形成，讨论了裂纹尖端尾纹中残留塑性变形对裂纹闭合现象的影响。
The shape and size of the plastic zone at the tip of the fatigue crack and the change of crack shape during loading and unloading are studied by the elasto-plastic finite element method. By comparing the difference between the static crack and the fatigue crack surface under the same conditions, the formation of residual plastic deformation in the tail tip of the fatigue crack is studied, and the influence of the residual plastic deformation in the tail tip crack on the crack closure is discussed.