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Author:

Gu, Yan (Gu, Yan.) | Lei, Jun (Lei, Jun.)

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EI Scopus

Abstract:

In this paper, the boundary element method (BEM) based on the elasticity theory is developed for fracture analysis of cracked thin structures with the relative thickness-to-length ratio in the micro- or nano-scales. A special crack-tip element technique is employed for the direct and accurate calculation of stress intensity factors (SIFs). The nearly singular integrals, which are crucial in applying the BEM for thin-structural problems, are calculated accurately by using a nonlinear coordinate transformation method. The present BEM procedure requires no remeshing procedure regardless of the thickness of thin structure. Promising SIFs results with only a small number of boundary elements can be achieved with the relative thickness of the thin film is as small as 10−9, which is sufficient for modeling most of the thin bodies as used in, for example, smart materials and micro/nano-electro-mechanical systems. © 2021

Keyword:

Crack tips Boundary element method Thin walled structures Stress intensity factors Sailing vessels Film thickness Fracture mechanics

Author Community:

  • [ 1 ] [Gu, Yan]School of Mathematics and Statistics, Qingdao University, Qingdao; 266071, China
  • [ 2 ] [Lei, Jun]Department of Engineering Mechanics, Beijing University of Technology, Beijing; 100124, China

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Source :

Results in Applied Mathematics

Year: 2021

Volume: 11

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 30

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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