赵艳华, 陈 晋, 张 华. T应力对I-II复合型裂纹扩展的影响[J]. 工程力学, 2010, 27(4): 5-012.
引用本文: 赵艳华, 陈 晋, 张 华. T应力对I-II复合型裂纹扩展的影响[J]. 工程力学, 2010, 27(4): 5-012.
ZHAO Yan-hua, CHEN Jin, ZHANG Hua. INFLUENCE OF T-STRESS ON CRACK PROPAGATION FOR I-II MIXED MODE LOADING[J]. Engineering Mechanics, 2010, 27(4): 5-012.
Citation: ZHAO Yan-hua, CHEN Jin, ZHANG Hua. INFLUENCE OF T-STRESS ON CRACK PROPAGATION FOR I-II MIXED MODE LOADING[J]. Engineering Mechanics, 2010, 27(4): 5-012.

T应力对I-II复合型裂纹扩展的影响

INFLUENCE OF T-STRESS ON CRACK PROPAGATION FOR I-II MIXED MODE LOADING

  • 摘要: 利用最大周向正应力判据MTS重新分析研究了脆性破坏的I-II复合型裂纹扩展,其中考虑了平行于裂纹方向的非奇异项T应力。以平板中的斜裂纹处于双向受力为研究对象,通过两个方向力的不同组合以及裂纹与受力方向的夹角变换得到包括纯I型和纯II型在内的I-II复合型裂纹,分析了T应力对裂纹扩展方向以及断裂时的应力强度因子的影响,并将预测结果与现有的实验数据进行了比较。在此基础上,给出了不同T应力条件下通用的I-II复合型裂纹扩展条件,可用于给定几何试件的脆性断裂判定。分析结果表明:裂纹尖端非奇异项T应力对裂纹扩展的影响是不可忽略的,尤其是对II型断裂的影响更为明显。

     

    Abstract: Maximum tensile stress (MTS) criterion is adopted to predict brittle fracture under I-II mixed mode conditions, wherein the effect of the non-singular term of stress, often known as the T-stress on the angle of initiation and the onset of crack growth are explored. With an inclined crack in plates under biaxial loading, I-II mixed mode fracture with pure I mode and pure II mode included is achieved by various combinations of vertical and horizontal loads, as well as different angles of the internal crack to the vertical load. The predicted direction for fracture initiation and I-II mixed mode stress intensity factors are compared with some earlier experiment results. Consequently, a general condition for predicting I-II mixed mode fracture under various T-stresses is provided to predict the brittle fracture when the stress intensity factors for I mode and II mode as well as the T-stress at the crack tip are known for a given specimen geometry. The analysis confirms that the presence of T-stress has a significant effect on mode I-II fracture in brittle fracture for linear elastic materials, especially for mode II fracture.

     

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