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首页> 外文期刊>Engineering Fracture Mechanics >Evaluation of various analytical weight function methods base on exact K-solutions of an edge-cracked circular disc
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Evaluation of various analytical weight function methods base on exact K-solutions of an edge-cracked circular disc

机译:对边缘裂纹圆盘的精确k溶液基础上的各种分析重量函数方法的评价

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摘要

Weight function method is a powerful tool for the determination of key parameters such as stress intensity factors and crack opening displacements for cracks in complicated stress fields. Accurate determination of the weight functions is of primary importance for successful applications of the method. This paper makes detailed accuracy evaluation of two kinds of widely used approximate (2D) weight function approaches, one being based on crack opening displacement for one reference stress, the other on two reference stresses coupled with a geometric condition. To eliminate possible sources of error, the edge-cracked circular disc with exact K-solutions is used for deriving the two kinds of weight functions and for benchmarking against the two weight function approaches. A highly accurate numerical weight function method using the complex Taylor series expansion and complex finite element computation is also used for assessing the related Green's functions. Results from the evaluation will be instructive for accurate determination of weight functions for other finite edge-crack geometries. (C) 2017 Elsevier Ltd. All rights reserved.
机译:重量函数方法是确定关键参数的强大工具,例如应力强度因子和复杂应力场裂缝的裂缝开口位移。准确确定权重函数对于方法的成功应用是主要的重要性。本文采用了两种广泛使用的近似(2D)重量函数方法的详细精度评估,一种基于一个参考应力的裂缝开口位移,另一个在两个参考应力与几何条件相结合。为了消除可能的误差来源,具有精确k溶液的边缘破裂的圆形盘用于导出两种重量函数并用于针对两个重量函数方法的基准测试。使用复杂的泰勒串联膨胀和复杂有限元计算的高度准确的数值函数方法也用于评估相关绿色的功能。评估结果对于准确测定其他有限边缘裂纹几何形状的重量函数是有益的。 (c)2017 Elsevier Ltd.保留所有权利。

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