Abstract
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 language | English (US) |
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Pages (from-to) | 306-319 |
Number of pages | 14 |
Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
Volume | 89 |
Issue number | 4 |
DOIs | |
State | Published - Apr 1 2009 |
Keywords
- Finite element method
- Generalized self-consistent homogenization
- Multiscale modelling
- Superconducting strands
- Thermal-mechanical strain
- Thermo-mechanics
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mechanics