A multiscale eigenelement method and its application to periodical composite structures

This paper develops a multiscale eigenelement method based on multilevel substructure technology for the multiscale analysis of periodical composite structures, and provides a comparison study with user point of view for the multiscale methods including the mathematical homogenization method, the he...

Full description

Saved in:
Bibliographic Details
Published in:Composite structures 2010-08, Vol.92 (9), p.2265-2275
Main Authors: Xing, Y.F., Yang, Y., Wang, X.M.
Format: Article
Language:English
Subjects:
Analogies
Composite structures
Eigenelement method
Exact sciences and technology
Finite element method
Frequency
Fundamental areas of phenomenology (including applications)
Homogenization
Homogenizing
Mathematical analysis
Mathematical models
Multiscale method
Multiscale methods
Periodical composite structure
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Stress
Structural and continuum mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper develops a multiscale eigenelement method based on multilevel substructure technology for the multiscale analysis of periodical composite structures, and provides a comparison study with user point of view for the multiscale methods including the mathematical homogenization method, the heterogeneous multiscale method, the multiscale finite element method and the generalized finite element method, laying emphasis on their ideas, implementations, adaptabilities and similarities. It is shown that the newly developed eigenelement method satisfies the two essential homogenization conditions, one is the strain energy equivalence which is crucial to the lower order frequencies, and the other is the deformation similarity which is crucial to the local or micro stresses. Numerical experiments validate the present method.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2009.08.006