Boussinesq problem with the surface effect based on surface energy density

doi:10.1007/s10999-019-09476-8

	Boussinesq problem with the surface effect based on surface energy density
	Wang, Liyuan
	2019-10-18
发表期刊	INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
卷号	16 期号:3 页码:633-645
摘要	Surface effect plays an important role in nanosized materials. In this paper, two-dimensional Boussinesq problem with the surface effect is systematically investigated based on Chen-Yao's surface elastic theory, in which surface effect on mechanical properties of materials is considered based on the concept of surface energy density. The Fourier integral transform method is adopted to derive the contact stress and displacement fields of the Boussinesq problem. As two examples, the deformations induced, respectively, by a uniform distributed pressure and a concentrated force are analyzed in detail. The theoretical result in this paper show that the surface energy density of the indented bulk substrate, as only one additional parameter, serves as an important factor to influence the contact properties in contrast to the classical contact models. The numerical results show that the semi-infinite substrate becomes hardened when the surface effect is considered. Scaling analysis further indicates that only when the ratio of the contact width to the volume surface energy density to the shear modulus is equal, the difference between the theoretical prediction of surface effect and the classical contact solution without surface effect will be significant. The results provide a further understanding of the surface effect of nanomaterials, which should be helpful for the design and accurate evaluation of service performance of nanoscale devices or nanomaterials.
关键词	Boussinesq problem Surface effect Surface energy density Fourier integral transform method Scaling analysis
DOI	10.1007/s10999-019-09476-8
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	1569-1713
语种	英语
WOS研究方向	Engineering ; Materials Science ; Mechanics
WOS类目	Engineering, Mechanical ; Materials Science, Multidisciplinary ; Mechanics
WOS记录号	WOS:000491394500001
出版者	SPRINGER HEIDELBERG
EI入藏号	20194507622749
原始文献类型	Article
EISSN	1573-8841
引用统计	被引频次：4[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/10488
专题	国际经济与贸易学院
作者单位	1.Lanzhou Univ, Key Lab Mech Disaster & Environm Western China, Minist Educ, Coll Civil Engn & Mech, 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. Boussinesq problem with the surface effect based on surface energy density[J]. INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN,2019,16(3):633-645.
APA	Wang, Liyuan.(2019).Boussinesq problem with the surface effect based on surface energy density.INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN,16(3),633-645.
MLA	Wang, Liyuan."Boussinesq problem with the surface effect based on surface energy density".INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN 16.3(2019):633-645.

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