Next Article in Journal
Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures
Next Article in Special Issue
Wave-Power Extraction by an Oscillating Water Column Device over a Step Bottom
Previous Article in Journal
Bifurcation, Quasi-Periodic, Chaotic Pattern, and Soliton Solutions to Dual-Mode Gardner Equation
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 13
Issue 5
10.3390/math13050842
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

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

by
Cong Li
1,*,
Yan Meng
1,
Bin Hu
2,* and
Zhongrong Niu
3
1
School of Civil Engineering, Anhui Jianzhu University, Hefei 230009, China
2
School of Civil Engineering and Architecture, Anhui University of Science & Technology, Huainan 232001, China
3
School of Civil Engineering, Hefei University of Technology, Hefei 230009, China
*
Authors to whom correspondence should be addressed.
Mathematics 2025, 13(5), 842; https://doi.org/10.3390/math13050842
Submission received: 8 February 2025 / Revised: 24 February 2025 / Accepted: 24 February 2025 / Published: 3 March 2025
(This article belongs to the Special Issue Boundary Element Methods in Engineering)
Browse Figures
Versions Notes

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 fast multipole dual boundary element method; stress intensity factor; multiple cracks; defects

Share and Cite

MDPI and ACS Style

Li, C.; Meng, Y.; Hu, B.; Niu, Z. Estimation of Stress Intensity Factor by Using a New Fast Multipole Dual-Boundary Element Method. Mathematics 2025, 13, 842. https://doi.org/10.3390/math13050842

AMA Style

Li C, Meng Y, Hu B, Niu Z. Estimation of Stress Intensity Factor by Using a New Fast Multipole Dual-Boundary Element Method. Mathematics. 2025; 13(5):842. https://doi.org/10.3390/math13050842

Chicago/Turabian Style

Li, Cong, Yan Meng, Bin Hu, and Zhongrong Niu. 2025. "Estimation of Stress Intensity Factor by Using a New Fast Multipole Dual-Boundary Element Method" Mathematics 13, no. 5: 842. https://doi.org/10.3390/math13050842

APA Style

Li, C., Meng, Y., Hu, B., & Niu, Z. (2025). Estimation of Stress Intensity Factor by Using a New Fast Multipole Dual-Boundary Element Method. Mathematics, 13(5), 842. https://doi.org/10.3390/math13050842

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop