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Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method
Yang, Zhiqiang1; Cui, Junzhi2; Sun, Yi1; Dong, Hao3
2018-11-01
Source PublicationACTA MECHANICA
ISSN0001-5970
Volume229Issue:11Pages:4495-4519
AbstractThis paper develops a novel second-order two-scale (SOTS) method to predict the mechanical performance of statistically inhomogeneous core-shell materials. As for these kinds of materials, the sophisticated microscopic information of inclusions, including their shape, size, orientation, spatial distribution, volume fraction, and so on, leads to changes of the macroscopic mechanical properties. Firstly, the microscopic configuration for the core-shell structure with random distribution is briefly characterized. Secondly, the SOTS formulae for solving the mechanical problems are proposed, and the importance of the two-scale approximate solutions in pointwise sense is given. Then, the associated prediction algorithm based on the two-scale model is brought forward in detail. Finally, some numerical results for the effective properties of the materials with varying probability distribution models are calculated and compared with the data by analytical and experimental results. The comparison shows that the statistical second-order two-scale model is validated for determination of the mechanical properties of inhomogeneous core-shell materials and demonstrates its potential applications in actual engineering applications.
KeywordStatistically inhomogeneous materials Multiscale method Core-shell particle Effective property
DOI10.1007/s00707-018-2245-9
Language英语
Funding ProjectFundamental Research Funds for the Central Universities ; National Natural Science Foundation of China[11701123]
WOS Research AreaMechanics
WOS SubjectMechanics
WOS IDWOS:000448712700011
PublisherSPRINGER WIEN
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31704
Collection计算数学与科学工程计算研究所
Affiliation1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
Recommended Citation
GB/T 7714
Yang, Zhiqiang,Cui, Junzhi,Sun, Yi,et al. Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method[J]. ACTA MECHANICA,2018,229(11):4495-4519.
APA Yang, Zhiqiang,Cui, Junzhi,Sun, Yi,&Dong, Hao.(2018).Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method.ACTA MECHANICA,229(11),4495-4519.
MLA Yang, Zhiqiang,et al."Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method".ACTA MECHANICA 229.11(2018):4495-4519.
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