Inclusion problem in second gradient elasticity | |
Ma HS(马寒松); Hu GK; Wei YG(魏悦广); Liang LH(梁立红) | |
发表期刊 | INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE |
2018-11-01 | |
卷号 | 132页码:60-78 |
ISSN | 0020-7225 |
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. |
关键词 | Green's function Eshelby tensor Second gradient Inclusion Effective modulus |
DOI | 10.1016/j.ijengsci.2018.07.003 |
URL | 查看原文 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000446151900005 |
关键词[WOS] | PARTICLE-SIZE ; MATRIX COMPOSITES ; GREENS-FUNCTION ; FIELDS ; DEFORMATION ; PLASTICITY ; CONTINUA ; FRACTURE |
WOS研究方向 | Engineering, Multidisciplinary |
WOS类目 | Engineering |
项目资助者 | National Natural Science Foundation of China [11572329, 11432014, 11672301, 11372318, 11672296, 11521202] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040501] |
论文分区 | 一类 |
力学所作者排名 | 1 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/77933 |
专题 | 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. |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
IrJ2018321.pdf(758KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
Lanfanshu学术 |
Lanfanshu学术中相似的文章 |
[马寒松]的文章 |
[Hu GK]的文章 |
[魏悦广]的文章 |
百度学术 |
百度学术中相似的文章 |
[马寒松]的文章 |
[Hu GK]的文章 |
[魏悦广]的文章 |
必应学术 |
必应学术中相似的文章 |
[马寒松]的文章 |
[Hu GK]的文章 |
[魏悦广]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论