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

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摘要

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.

论文关键词:65F10,35B50,Homogenization,Multiscale asymptotic method,Elastic equations,Honeycomb structure,Multiscale finite element method

论文评审过程:Received 22 March 2008, Revised 18 April 2009, Available online 7 August 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.08.004