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Asymptotic behaviour of the Oore-Burns integral for cracks with a corner and correction formulae for embedded convex defects
Engineering Fracture Mechanics ( IF 4.7 ) Pub Date : 2021-05-01 , DOI: 10.1016/j.engfracmech.2021.107663
Paolo Livieri , Fausto Segala

In this paper, the asymptotic behaviour of the stress intensity factor (SIF) near a corner of a crack is discussed. The weight function of Oore-Burns and FE analysis are used in order to explain the trend of the SIF. The analytical analysis shows that the SIF at the corner has a cusp behaviour as a function of the distance from the corner. This is a crucial mathematical property obtained from the Oore-Burns integral. Explicit formulae for the estimation of the SIF are obtained for square and equilateral triangular cracks. Then, the value of the SIF along the crack border is corrected (quantitative intervention) by means of a new simple formulation that is able to considerably increase the accuracy of the Oore-Burns integral. Finally, in the case of a crack with a rounded corner, a new simple correction formula is given and, in order to check the accuracy of the proposed equations, a comparison is carefully made with an FE analysis as well as with numerical results taken from the literature.



中文翻译:

带角裂纹的 Oore-Burns 积分的渐近行为和嵌入凸缺陷的修正公式

在本文中,讨论了裂纹角附近应力强度因子(SIF)的渐近行为。使用 Oore-Burns 的权重函数和有限元分析来解释 SIF 的趋势。分析分析表明,拐角处的 SIF 具有作为距拐角距离的函数的尖点行为。这是从 Oore-Burns 积分获得的关键数学性质。对于方形和等边三角形裂缝,获得了用于估计 SIF 的明确公式。然后,通过新的简单公式校正(定量干预)裂缝边界上的 SIF 值,该公式能够显着提高 Oore-Burns 积分的准确性。最后,对于带有圆角的裂纹,给出了一个新的简单修正公式,并且,

更新日期:2021-06-07
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