Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures☆

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Abstract

In this paper, we consider the elastomechanical problems of a honeycomb structure of composite materials. A multiscale finite element method and the postprocessing technique with high accuracy are presented. We will derive the proofs of all theoretical results. Finally, some numerical tests validate the theoretical results of this paper.

MSC

65F10
35B50

Keywords

Homogenization
Multiscale asymptotic method
Elastic equations
Honeycomb structure
Multiscale finite element method

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This work is supported by National Natural Science Foundation of China (grant # 90405016), Science Foundation of Central South University of Forestry and Technology (grant #06Y048), and Special Funds for Major State Basic Research Projects (grant # 2006CB605102).

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