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Generalised self consistent homogenisation as an inverse problem
Author(s) -
Boso D.P.,
Lefik M.,
Schrefler B.A.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000023
Subject(s) - breakage , isotropy , brittleness , inverse , matrix (chemical analysis) , scheme (mathematics) , inverse problem , materials science , mathematics , computer science , composite material , mathematical analysis , physics , geometry , quantum mechanics
Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. We solve a coupled thermo‐mechanical problem for non‐linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self‐consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n‐layered isotropic elastic‐brittle cylindrical inclusions surrounded by an elasto‐plastic matrix. The influence of possible yielding of the matrix and breakage of the fibres on the effective behaviour of the composite is considered. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.