Open Access

ARTICLE

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

Bingrui Ju¹, Wenzhen Qu^1,2,*, Yan Gu^1,2

1 School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, China
2 Institute of Mechanics for Multifunctional Materials and Structures, Qingdao University, Qingdao, 266071, China

* Corresponding Author: Wenzhen Qu. Email:

(This article belongs to this Special Issue: Advances on Mesh and Dimension Reduction Methods)

Computer Modeling in Engineering & Sciences 2023, 136(3), 2677-2690. https://doi.org/10.32604/cmes.2023.025886

Received 03 August 2022; Accepted 25 October 2022; Issue published 09 March 2023

Abstract

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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Keywords

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