Weakly Singular Symmetric Galerkin Boundary Element Method for Fracture Analysis of Three-Dimensional Structures Considering Rotational Inertia and Gravitational Forces

He, Shuangxin; Wang, Chaoyang; Zhou, Xuan; Dong, Leiting; Atluri, Satya N.

doi:10.32604/cmes.2022.019160

Cited by 1 publication

(1 citation statement)

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“…The FEM generally requires very fine meshes to guarantee an accurate and reliable computation of the mechanical fields of thin-walled structures, especially near the crack-tips. The boundary element method (BEM) [13][14][15][16][17][18] is another powerful numerical approach for crack analysis owing to its advantage of dimension reduction and semi-analytical nature. The BEM has been recognized as an alternative and competitive tool in the scientific community, because it only requires the discretization of the boundary and the crack-surfaces of cracked materials and structures [35].…”

Section: Nomenclaturementioning

confidence: 99%

Boundary Element Analysis for Mode III Crack Problems of Thin-Walled Structures from Micro- to Nano-Scales

Ju¹,

Qu²,

Gu³

2023

Computer Modeling in Engineering &Amp; Sciences

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This paper develops a new numerical framework for mode III crack problems of thin-walled structures by integrating multiple advanced techniques in the boundary element literature. The details of special crack-tip elements for displacement and stress are derived. An exponential transformation technique is introduced to accurately calculate the nearly singular integral, which is the key task of the boundary element simulation of thin-walled structures. Three numerical experiments with different types of cracks are provided to verify the performance of the present numerical framework. Numerical results demonstrate that the present scheme is valid for mode III crack problems of thin-walled structures with the thickness-to-length ratio in the microscale, even nanoscale, regime.

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