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On the use of elemental quantities to compute NSIFs at pointed V-notches with non-regular coarse meshes
Theoretical and Applied Fracture Mechanics ( IF 5.3 ) Pub Date : 2021-08-31 , DOI: 10.1016/j.tafmec.2021.103083
Michele Zappalorto 1 , Alessandro Pontefisso 1 , Paolo Andrea Carraro 1
Affiliation  

In this work, the possibility to use elemental quantities, computed from non-regular coarse meshes, to assess Notch Stress Intensity Factors at pointed V-notches (with a notch opening angle different from zero) is explored.

To this end, the analytical expressions for the Energy Density and averaged stresses over a four sided finite element close to the notch tip are firstly derived, based on Williams equations under pure Mode 1, Mode 2 and Mode 3, as well as for mixed Mode loadings.

Subsequently, taking advantage of a large number of examples, non-uniform, coarse, mesh patterns are used to back calculate the NSIF values simply inverting the above-mentioned analytical expressions, also discussing the accuracy, the advantages and the limitations of this approach.



中文翻译:

使用元素量计算带有非规则粗网格的尖 V 形缺口处的 NSIF

在这项工作中,探索了使用元素量(从非规则粗网格计算)来评估尖 V 型缺口(缺口张角不为零)处的缺口应力强度因子的可能性。

为此,基于纯模态 1、模态 2 和模态 3 以及混合模态下的威廉姆斯方程,首先推导出了靠近缺口尖端的四边有限元上的能量密度和平均应力的解析表达式负荷。

随后,利用大量实例,使用非均匀、粗糙、网格模式来回计算 NSIF 值,只需对上述解析表达式进行反演,并讨论该方法的准确性、优点和局限性。

更新日期:2021-09-09
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