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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
Corresponding AuthorWei, Yueguang(weiyg@pku.edu.cn)
Source PublicationJOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
2020-03-01
Volume87Issue:3Pages:7
ISSN0021-8936
AbstractWith 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.
Keywordmechanical behavior material length scale strain gradient theory Cauchy-Born rule constitutive modeling of materials
DOI10.1115/1.4045523
Indexed BySCI ; EI
Language英语
WOS IDWOS:000525406900013
WOS KeywordPLASTICITY ; INITIATION ; FRACTURE
WOS Research AreaMechanics
WOS SubjectMechanics
Funding ProjectNational 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]
Funding OrganizationNational Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences
Classification一类/力学重要期刊
Ranking1
ContributorWei, Yueguang
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/81898
Collection非线性力学国家重点实验室
Affiliation1.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
Recommended Citation
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.
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