Boundary Element Analysis forModeⅢCrack Problems of Thin-Walled Structures from Micro-to Nano-Scales  

作　　者：Bingrui Ju Wenzhen Qu Yan Gu 

机构地区：[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

出　　处：《Computer Modeling in Engineering & Sciences》2023年第9期2677-2690,共14页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(No.11802165);the China Postdoctoral Science Foundation(Grant No.2019M650158).

摘　　要：This paper develops a new numerical framework for modeⅢcrack 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 modeⅢcrack problems of thin-walled structures with the thickness-to-length ratio in the microscale,even nanoscale,regime.

关 键 词：Boundary element nearly singular integral thin-walled structure mode III crack 

分 类 号：TB383[一般工业技术—材料科学与工程]