Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction

doi:10.1016/j.enganabound.2016.07.005

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	Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction
	Lv, Jia-He 2; Feng, Xia-Ting2 ; Li, Shao-Jun 2; Jiang, Quan 2; Guo, Hao-Sen 1
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2016
卷号	71 页码:1-11
关键词	Boundary element method Thin structure Singular integral Nearly singular integral
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2016.07.005
英文摘要	Accurate thermal or mechanical analysis of thin structures has been a challenging task for various numerical methods, due to the exceeding closeness of the two neighboring surfaces. In this paper, the micron-sized interior-like thin structures for steady-state heat conduction is investigated with BEM. Three major difficulties would be encountered during solid analysis of thin structures with BEM: 1) degeneracy of the linear systems of equations; 2) evaluation of singular integrals over distorted elements; 3) evaluation of various orders of nearly singular integrals. To investigate the effect of singular and nearly singular integrals independently, the singularity subtraction technique (SST) and nonlinear distance transformation combined with adaptive subdivision method are employed to deal with singular and nearly singular integrals, respectively. Besides, a conformal mapping procedure aligned with sigmoidal transformation in angular direction is proposed to eliminate the near singularity derived from the distortion of element shape. Several challenging numerical examples with characteristic thickness h = 10(-3), including annular disk, hollow sphere and hollow torus examples, are solved with coarse meshes compared to original methods, and some meaningful conclusions have been obtained. (C) 2016 Elsevier Ltd. All rights reserved.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000383302100002
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3933]
专题	岩土力学所知识全产出_期刊论文岩土力学所知识全产出国家重点实验室知识产出_期刊论文
作者单位	1.Northeastern Univ, Sch Resources & Civil Engn 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ;
推荐引用方式 GB/T 7714	Lv, Jia-He,Feng, Xia-Ting,Li, Shao-Jun,et al. Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2016,71:1-11.
APA	Lv, Jia-He,Feng, Xia-Ting,Li, Shao-Jun,Jiang, Quan,&Guo, Hao-Sen.(2016).Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,71,1-11.
MLA	Lv, Jia-He,et al."Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 71(2016):1-11.