Characterization of Stiffness Matrix for Surface Effects

The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high surface-to-volume ratio, the surface effect can be significant for nanostructures. In a new numerical method which combines surface energy and three-dimensi...

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 684; no. Proceedings of 2014 International Conference on Mechanics and Mechanical Engineering; pp. 53 - 57
Main Authors Chen, Xiao Liang, Yang, Quan Hu, Huang, Kai Zhi
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.10.2014
Subjects
Finite element method
Mathematical analysis
Nanostructure
Numerical analysis
Stiffness matrix
Surface energy
Symmetry
Three dimensional
Surface Energy
Stiffness Matrix
Finite Element Method (FEM)
Non-Positive Definite
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Summary:The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high surface-to-volume ratio, the surface effect can be significant for nanostructures. In a new numerical method which combines surface energy and three-dimensional finite element analysis, the stiffness matrix with surface effects was computed numerically. Results show the stiffness matrix of surface elements is symmetry and non-positive definite.
Bibliography:2014 International Conference on Mechanics and Mechanical Engineering, (MME 2014), September 13-14, 2014, Wuhan, China
ObjectType-Article-1
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ISBN:9783038353225
3038353221
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.684.53