Surface effect on deformation around an elliptical hole by surface energy density theory

doi:10.1177/1081286519876973

	Surface effect on deformation around an elliptical hole by surface energy density theory
	Wang, Liyuan
	2019-09-26
发表期刊	MATHEMATICS AND MECHANICS OF SOLIDS
卷号	25 期号:2 页码:337-347
摘要	The finite plane deformation of nanomaterial surrounding an elliptical hole subjected to remote loading is systematically investigated using a recently developed continuum theory. A complex variable formulation is utilized to obtain a closed-form solution for the hoop stress along the edge of the hole. The results show that when the size of the hole reduces to the same order as the ratio of the surface energy density to the applied remote stress, the influence of the surface energy density plays an even more significant role, and the shape of the hole coupled with surface energy density has a significant effect on the elastic state around the hole. Surprisingly, in the absence of any external loading, the hoop stress induced solely by surface effects is identical to that for a hole with surface energy in a linearly elastic solid derived by the Gurtin-Murdoch surface elasticity model. The results in this paper should be useful for the precise design of nanodevices and helpful for the reasonable assessment of test results of nano-instruments.
关键词	Elliptical hole surface effect complex variable formulation remote loading
DOI	10.1177/1081286519876973
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	1081-2865
语种	英语
WOS研究方向	Materials Science ; Mathematics ; Mechanics
WOS类目	Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000491795900001
出版者	SAGE PUBLICATIONS LTD
EI入藏号	20194407599427
原始文献类型	Article
EISSN	1741-3028
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/563
专题	国际经济与贸易学院
作者单位	1.Lanzhou Univ, Coll Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Finance & Econ, Longqiao Coll, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wang, Liyuan. Surface effect on deformation around an elliptical hole by surface energy density theory[J]. MATHEMATICS AND MECHANICS OF SOLIDS,2019,25(2):337-347.
APA	Wang, Liyuan.(2019).Surface effect on deformation around an elliptical hole by surface energy density theory.MATHEMATICS AND MECHANICS OF SOLIDS,25(2),337-347.
MLA	Wang, Liyuan."Surface effect on deformation around an elliptical hole by surface energy density theory".MATHEMATICS AND MECHANICS OF SOLIDS 25.2(2019):337-347.