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Crack propagation in mixed-mode specimens described via multi-parameter fracture mechanics

机译：通过多参数骨折力学描述的混合模式样本中的裂纹繁殖

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The main objective of the paper is to employ a multi-parameter fracture mechanics concept to describe crack propagation through a specimen loaded in mixed-mode.This concept in particular was used because it has been shown that application of the generalized fracture mechanics concept can play a key role for materials with specific fracture behaviour,i.e.when fracture processes occur not only in the very vicinity of the crack tip,but also at larger distances from it.Two mixed-mode (I+II) geometries for the investigation of crack behaviour are presented here.The Williams series expansion is used for crack-tip stress field approximation.Then,considering the higher-order terms of the Williams expansion with regard to maximum tangential stress criterion can provide better estimates of the crack deflection angle.The coefficients of the Williams expansion were determined by means of the over-deterministic method for the purposes of this work.This analysis was performed for each cracked configuration,which is very time-consuming and makes the analysis very extensive.The crack propagation angle obtained by means of the generalized fracture criterion is discussed in detail.It was found that single-parameter fracture mechanics is sufficient when applied close to the crack tip and when mode I of loading prevails,while multi-parameter fracture mechanics can be recommended at larger distances from the crack tip and for configurations where mode II becomes dominant.
机译：本文的主要目的是使用多参数骨折力学概念来描述通过混合模式的样本来描述裂缝繁殖。特别是使用该概念，因为已经显示出广义骨折力学概念的应用可以发挥具有特异性裂缝行为的材料的关键作用，Iewhen断裂过程不仅发生在裂缝尖端的附近，而且发生在距离IT的较大距离处。对于裂纹行为的研究，它们的混合模式（I + II）几何形状在这里介绍。威廉姆斯系列扩展用于裂纹尖端应力场近似。该目的，考虑到最大切向应力标准的威廉姆斯扩展的高阶项可以提供更好的裂缝偏转角度的估计。的系数威廉姆斯扩展是通过过度确定性方法确定的，用于这项工作的目的。对每个裂缝配置进行了分析呼配，这非常耗时，并使分析非常广泛。通过透过广义裂缝标准获得的裂缝传播角度。发现，当靠近裂纹尖端时，单参数断裂力学是足够的当载荷的模式I占上风时，距离裂缝尖端的较大距离可以建议多参数骨折机械机械，以及模式II变得优势的配置。

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