Cracks at elliptical holes: stress intensity factor and Finite Fracture Mechanics solution
Cracks at elliptical holes: stress intensity factor and Finite Fracture Mechanics solution
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DOI：
10.1016/j.euromechsol.2015.09.002
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发表时间：
2016
影响因子：
4.1
通讯作者：
P. Weißgraeber;J. Felger;Dennis Geipel;W. Becker
中科院分区：
文献类型：
--
作者：
P. Weißgraeber;J. Felger;Dennis Geipel;W. Becker
本文用有限断裂力学的封闭解析方法研究了单向拉伸条件下椭圆孔板的裂纹萌生问题。为了允许裂纹萌生的详细研究，在文献中的应力强度因子进行了讨论，并进行了比较，广泛的数值结果。基于物理原理，提出了一种改进的应力强度因子的解决方案，显示了一个很好的协议与数值计算结果的椭圆和裂纹长度的应力集中系数的范围很广。利用缺口板应力场的精确解和提出的应力强度因子，得到了一个有效的有限断裂力学解。不引入经验长度参数，而只需要强度和断裂韧性进行评估。分析包括圆孔的情况和裂纹的极限情况的切向和垂直于加载方向。典型的缺口尺寸效应被这种耦合应力和能量方法所覆盖。可以呈现从材料强度到线弹性断裂力学的连续过渡。
In this work crack initiation at elliptical holes in plates under uniaxial tension is studied by means of a closed form analytical Finite Fracture Mechanics approach. To allow for a detailed study of crack initiation, stress intensity factors available in literature are discussed and compared to extensive numerical results. Based on physical rationale, an improved stress intensity factor solution is proposed that shows a very good agreement with numerical results for a wide range of stress concentration factors of the ellipse and crack lengths. Using the exact solution of the stress field in the notched plate and the proposed stress intensity factor, an efficient Finite Fracture Mechanics solution is obtained. No empiric length parameters are introduced but only the strength and the fracture toughness are required for evaluation. The analysis comprises the case of a circular hole and the limiting cases of a crack tangential and normal to the loading direction. Typical notch size effects are covered by this coupled stress and energy approach. A continuous transition from strength of materials to Linear Elastic Fracture Mechanics can be rendered.