Abstract The correlation between the out-of-plane stress and the in-plane stress is established based on the bending modified J-Q theory and the out-of-plane constraint parameter TZ. Accordingly, an improved J-QZ-M constraint theory is developed to characterize the crack-tip fields by taking into account opening- and bending-dominated deformations in the ligament of the clamped single edge notch tension (SE(T)) specimens. Three-dimensional elastic-plastic finite element analyses (FEA) with a wide range of in-plane and out-of-plane constraints are performed to validate the proposed approach. It is found that the proposed J-QZ-M constraint theory can effectively quantify the crack-tip fields of SE(T) specimens, and the constraint parameter QZ exhibits approximately load- and distance-independence until large scale yielding (LSY).

中文翻译：

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单边缺口拉伸试样厚度对断裂抗力行为的约束分析

摘要 基于弯曲修正JQ理论和面外约束参数TZ，建立了面外应力与面内应力的相关性。因此，开发了一种改进的 J-QZ-M 约束理论，通过考虑夹紧的单边缘缺口张力 (SE(T)) 试样的韧带中的张开和弯曲主导变形来表征裂纹尖端场。执行具有广泛平面内和平面外约束的三维弹塑性有限元分析 (FEA) 以验证所提出的方法。发现所提出的J-QZ-M约束理论可以有效地量化SE(T)试样的裂纹尖端场，并且约束参数QZ在大规模屈服(LSY)之前表现出近似载荷和距离无关性。