Homogenization for composite material properties using smoothed finite element method

Eric Li, Zhongpu Zhang, C. C. Chang, G. R. Liu, Q. Li

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

Numerical homogenization is an efficient way to determine effective material properties of composite materials. Conventionally, the finite element technique has been widely used in implementing the homogenization. However, the standard finite element method (FEM) leads to an overly-stiff model which gives poor accuracy especially using triangular elements in 2D or tetrahedral elements in 3D with coarse mesh. In this paper, the smoothed finite element methods (S-FEMs) are developed to analyse the effective mechanical properties of composite materials. Various examples, including modulus with multiphase composites and permeability of tissue scaffold, have demonstrated that smoothed finite element method is able to provide more accurate results using the same set of mesh compared with the standard finite element method. In addition, the computation efficiency of smoothed finite element method is also much better than the FEM counterpart.
Original languageEnglish
Title of host publicationProceedings of the 5th International Conference on Computational Methods: 5th ICCM2014, 28th -30th July 2014, Cambridge, U.K.
PublisherScientech Publisher
Pages429-468
Number of pages40
Publication statusPublished - 2014
EventInternational Conference on Computational Methods -
Duration: 28 Jul 2014 → …

Publication series

Name
ISSN (Print)2374-3948

Conference

ConferenceInternational Conference on Computational Methods
Period28/07/14 → …

Keywords

  • finite element method
  • tissue scaffolds
  • homogenization (differential equations)
  • composite materials

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