中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 力学研究所
  3. 中国科学院力学研究所
  4. 非线性力学国家重点实验室
Inclusion problem in second gradient elasticity

文献类型：期刊论文

作者Ma HS(马寒松); Hu GK; Wei YG(魏悦广); Liang LH(梁立红)
刊名INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
出版日期2018-11-01
卷号132页码:60-78
关键词Green's function Eshelby tensor Second gradient Inclusion Effective modulus
ISSN号0020-7225
DOI10.1016/j.ijengsci.2018.07.003
英文摘要The Green's function and Eshelby tensors of an infinite linear isotropic second gradient continuum are derived for an inclusion of arbitrary shape. Particularly for spherical, cylindrical and ellipsoidal inclusions, Eshelby tensors and their volume averages are obtained in an analytical form. It is found that the Eshelby tensors are not uniform inside the inclusion even for a spherical inclusion, and their variations depend on the two characteristic lengths of second gradient theory. When size of inclusion is large enough compared to the characteristic lengths, the Eshelby tensor of the second gradient medium is reduced to the classical one, as expected. It is also demonstrated that the existing Green's functions and Eshelby tensors of couple stress theory, Aifantis, Kleinert and Wei-Hutchinson special strain gradient theories could be recovered as special cases. This work paves the way for constructing micromechanical method to predict size effect of composite materials, as shown for the effective modulus of particulate composite derived with the proposed theory. (C) 2018 Elsevier Ltd. All rights reserved.
分类号一类
URL标识查看原文
WOS关键词PARTICLE-SIZE ; MATRIX COMPOSITES ; GREENS-FUNCTION ; FIELDS ; DEFORMATION ; PLASTICITY ; CONTINUA ; FRACTURE
WOS研究方向Engineering, Multidisciplinary
语种英语
WOS记录号WOS:000446151900005
资助机构National Natural Science Foundation of China [11572329, 11432014, 11672301, 11372318, 11672296, 11521202] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040501]
源URL[http://dspace.imech.ac.cn/handle/311007/77933]  
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.Beijing Inst Technol, Sch Aerosp Engn, Beijing 100081, Peoples R China
3.Peking Univ, Coll Engn, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714		 Ma HS,Hu GK,Wei YG,et al. Inclusion problem in second gradient elasticity[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2018,132:60-78.
APA 马寒松,Hu GK,魏悦广,&梁立红.(2018).Inclusion problem in second gradient elasticity.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,132,60-78.
MLA 马寒松,et al."Inclusion problem in second gradient elasticity".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 132(2018):60-78.

入库方式： OAI收割

来源：力学研究所

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。