A Method to Determine Material Length Scale Parameters in Elastic Strain Gradient Theory

doi:10.1115/1.4045523

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	A Method to Determine Material Length Scale Parameters in Elastic Strain Gradient Theory
	Song JR(宋晶如)1; Wei YG(魏悦广)2
刊名	JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
	2020-03-01
卷号	87 期号:3 页码:7
关键词	mechanical behavior material length scale strain gradient theory Cauchy-Born rule constitutive modeling of materials
ISSN号	0021-8936
DOI	10.1115/1.4045523
通讯作者	Wei, Yueguang(weiyg@pku.edu.cn)
英文摘要	With specimen size decrease for advanced structural materials, the measured mechanics behaviors display the strong size effects. In order to characterize the size effects, several higher-order theories have been presented in the past several decades, such as the strain gradient theories and the micro-polar theories, etc. However, in each higher-order theory, there are several length scale parameters included, which are usually taken as the material parameters and are determined by using the corresponding theoretical predictions to fit experimental results. Since such kind of experimental approaches needs high techniques, it is very difficult to be performed; therefore, the obtained experimental results are very few until now; in addition, the physical meanings of the parameters still need to be investigated. In the present research, an equivalent linkage method is used to simply determine the elastic length parameters appeared in the elastic strain gradient theory for a series of typical metal materials. We use both the elastic strain gradient theory and the higher-order Cauchy-Born rule to model the materials mechanics behaviors by means of a spherical expanding model and then make a linkage for both kinds of results according to the equivalence of strain energy densities. The values of the materials length parameters are obtained for a series of typical metal systems, such as the face-centered cubic (FCC), body-centered cubic (BCC), and hexagonal close-packed (HCP) metals.
分类号	一类/力学重要期刊
资助项目	National Natural Science Foundation of China[11972347] ; National Natural Science Foundation of China[11502273] ; National Natural Science Foundation of China[11432014] ; National Natural Science Foundation of China[11672301] ; National Natural Science Foundation of China[11890681] ; National Natural Science Foundation of China[11521202] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040501]
WOS关键词	PLASTICITY ; INITIATION ; FRACTURE
WOS研究方向	Mechanics
语种	英语
WOS记录号	WOS:000525406900013
资助机构	National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences
其他责任者	Wei, Yueguang
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/81897]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 2.Peking Univ, Coll Engn, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Song JR,Wei YG. A Method to Determine Material Length Scale Parameters in Elastic Strain Gradient Theory[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME,2020,87(3):7.
APA	宋晶如,&魏悦广.(2020).A Method to Determine Material Length Scale Parameters in Elastic Strain Gradient Theory.JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME,87(3),7.
MLA	宋晶如,et al."A Method to Determine Material Length Scale Parameters in Elastic Strain Gradient Theory".JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 87.3(2020):7.