Generalized self-consistent homogenization using the finite element method

M. Lefik, D. P. Boso, B. A. Schrefler

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


This paper presents a development of the usual generalized self-consistent method for homogenization of composite materials. The classical self-consistent scheme is appropriate for phases that are "disordered", i.e. what is called "random texture". In the case of both linear and non linear components, the self-consistent homogenization can be used to identify expressions for bounds of effective mechanical characteristics. In this paper we formulate a coupled thermo-mechanical problem for non linear composites having properties depending on temperature. The solution is found in a non-classical way, as we use the Finite Element Method to solve the elastic-plastic problem at hand. In this sense we propose a "problem-oriented" technique of solution. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.

Original languageEnglish (US)
Pages (from-to)306-319
Number of pages14
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue number4
StatePublished - Apr 1 2009


  • Finite element method
  • Generalized self-consistent homogenization
  • Multiscale modelling
  • Superconducting strands
  • Thermal-mechanical strain
  • Thermo-mechanics

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mechanics


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