Journal Published Online: 24 August 2023
Volume 51, Issue 6

Determination of the Mode I Stress Intensity Factor Based on Symplectic Geometry

CODEN: JTEVAB

Abstract

A method for determining the mode I stress intensity factor based on the symplectic geometry method is proposed. A fan-shaped region is constructed at the crack tip, and the full state vector of the crack tip is determined with the symplectic geometry method. By combining the full state vector with the displacement field at the crack tip, the stress intensity factor is calculated. Based on the theoretical solution of the displacement field around the mode I crack tip, the effects of the number of data points, the size of the central angle, and the radius on the accuracy of the stress intensity factor are studied. The results show that the number of data points has a great influence on the accuracy of mode I stress intensity factor determined with this method. As the number of data points exceeds 37, the relative error tends to zero stably; the sector central angle has little effect on the accuracy of the stress intensity factor, but under the same accuracy requirements, different sector central angles need different numbers of data points. If the sector radius is too small, the solution of stress intensity factor will be unstable, and the relative error will be large because of the influence of the plastic region at crack tip during the fracture process. By comparing the relative errors under different conditions, it is found that the mode I stress intensity factor calculated by the proposed method is highly accurate and that the stress intensity factor can be accurately obtained by obtaining just the displacement field around the crack tip, which is verified by a digital image correlation experiment. The proposed method solves the problem that the previous solution system has complex steps in the case of complex stress, resulting in the inability to accurately obtain mode I stress intensity factor.

Author Information

Xiao, Yuxuan
School of Engineering and Mechanics, Liaoning Technical University, Fuxin, China
Dai, Shuhong
School of Engineering and Mechanics, Liaoning Technical University, Fuxin, China
Wu, Yao
School of Engineering and Mechanics, Liaoning Technical University, Fuxin, China
Pages: 14
Price: $25.00
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Details
Stock #: JTE20220700
ISSN: 0090-3973
DOI: 10.1520/JTE20220700