The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.
Esibita l'asimmetria generale del tensore elastico equivalente associato all'ipotesi di Mori-Tanaka, si prova che, per compositi bifase, l'isotropia, la sfericità, l'allineamento e la distribuzione isotropa delle inclusioni sono condizioni sufficienti per la simmetria di questo tensore. Si evidenziano previsioni inaccettàbili al limite superiore per la concentrazione della fase dispersa.
@article{RLIN_1991_9_2_4_353_0,
author = {Mauro Ferrari},
title = {On the domain of applicability of the Mori-Tanaka effective medium theory},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {2},
year = {1991},
pages = {353-357},
zbl = {0754.73066},
mrnumber = {1152640},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1991_9_2_4_353_0}
}
Ferrari, Mauro. On the domain of applicability of the Mori-Tanaka effective medium theory. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991) pp. 353-357. http://gdmltest.u-ga.fr/item/RLIN_1991_9_2_4_353_0/
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