Evolution of Crack Propagation Rate in Notched Specimens Using XFEM Method under Bending Load Condition

Souad Zergot, M. Moussaoui, B. E. Hachi
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Abstract

The crack initiation and propagation often occur in structures subjected to fatigue loads and their privileged sites it is the geometric discontinuity in particular the notches. The geometric configuration of the notches always leads to disturbances of stress fields in the vicinity of the notch end as a consequence of the effects on the crack initiation site and on the crack rate. The present study is interested to the evolution of crack speed propagation in the notched specimens subjected to bending. The specimens chosen are made of PMMA material containing two opposite notches U or V that presented two different parameters, a radius for U-notch and angle for V-notch. The variations taken into account for the sharp notches (V-notch) going from the small angle to the large angle, which are 30°; 45°, 90°, and 140°, and for blunt notches (U-notch) the radius takes the different values 0.5, 1, 1.5, and 2 mm. The fracture brittle behavior adapted to this material led to predict the Fatigue crack growth using a modified form of Paris’s law with the equivalent stress intensity factor (ΔKeq) relying on extended finite element method (XFEM) in order to follow the interaction between the notch and the crack on one side and study the evolution of crack growth rate to another side. The variations, which brought to these parameters entailed an influence on the crack propagation speed, which was born at the end of notch of component as well as the variations of equivalent notch intensity stress factors (ΔKeq). The variations made to the parameters of notches have a huge influence on the crack propagation rate.
弯曲载荷条件下缺口试样裂纹扩展速率演化的XFEM方法
裂纹的萌生和扩展通常发生在受疲劳载荷作用的结构及其特殊部位,即几何不连续,特别是缺口处。由于缺口的几何形状对裂纹起裂位置和裂纹速率的影响,缺口端附近的应力场总是受到干扰。本文主要研究了缺口试件在弯曲作用下裂纹速度扩展的演化规律。所选择的样品由PMMA材料制成,包含两个相对的缺口U或V,它们具有两个不同的参数,U形缺口的半径和V形缺口的角度。考虑到从小角度到大角度(30°)的尖锐缺口(v形缺口)的变化;45°,90°和140°,对于钝缺口(u型缺口),半径采用不同的值0.5,1,1.5和2mm。根据该材料的断裂脆性特征,基于扩展有限元法(XFEM),采用等效应力强度因子(ΔKeq)修正的Paris定律来预测疲劳裂纹扩展,跟踪缺口与一侧裂纹的相互作用,研究裂纹扩展速率向另一侧的演变。这些参数的变化会影响裂纹扩展速度,裂纹扩展速度产生于构件缺口末端,等效缺口强度应力因子也会发生变化(ΔKeq)。缺口参数的变化对裂纹扩展速率有很大的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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