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A weight function method for mixed modes hole‐edge cracks
Authors:W. Xu  X.R. Wu  Y. Yu  Z.H. Li
Affiliation:1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China;2. AECC Beijing Institute of Aeronautical Materials, Beijing, China
Abstract:A weight function approach is proposed to calculate the stress intensity factor and crack opening displacement for cracks emanating from a circular hole in an infinite sheet subjected to mixed modes load. The weight function for a pure mode II hole‐edge crack is given in this paper. The stress intensity factors for a mixed modes hole‐edge crack are obtained by using the present mode II weight function and existing mode I Green (weight) function for a hole‐edge crack. Without complex derivation, the weight functions for a single hole‐edge crack and a centre crack in infinite sheets are used to study 2 unequal‐length hole‐edge cracks. The stress intensity factor and crack opening displacement obtained from the present weight function method are compared well with available results from literature and finite element analysis. Compared with the alternative methods, the present weight function approach is simple, accurate, efficient, and versatile in calculating the stress intensity factor and crack opening displacement.
Keywords:crack opening displacement  hole‐edge cracks  stress intensity factor  weight function
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