Estimation of Stress Intensity Factor by Using a New Fast Multipole Dual-Boundary Element Method

Cong Li (), Yan Meng, Bin Hu () and Zhongrong Niu
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Cong Li: School of Civil Engineering, Anhui Jianzhu University, Hefei 230009, China
Yan Meng: School of Civil Engineering, Anhui Jianzhu University, Hefei 230009, China
Bin Hu: School of Civil Engineering and Architecture, Anhui University of Science & Technology, Huainan 232001, China
Zhongrong Niu: School of Civil Engineering, Hefei University of Technology, Hefei 230009, China

Mathematics, 2025, vol. 13, issue 5, 1-14

Abstract: Cracks and defects are inevitable during the long-term use of structures. This study focuses on determining the stress intensity factors of multi-cracked structures by using a new fast multipole dual boundary element method. Numerical examples show that the results of the present method agree well with analytic solutions. When the crack distribution changes, the most unfavorable conditions also change. The shape of the defect has an effect on the stress intensity factors of nearby cracks. Among triangular, rectangular, hexagonal, and circular defects, when the area of the defect is identical, the triangular pore is more likely to induce crack propagation, while the circular pore is more secure. The above results can be used as a reference for structural design and optimization.

Keywords: fast multipole dual boundary element method; stress intensity factor; multiple cracks; defects (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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