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Titolo:
Bounds on the self-consistent approximation for nonlinear media and implications for the second-order method
Autore:
Leroy, Y; Castaneda, PP;
Indirizzi:
Ecole Polytech, Dept Mecan, F-91128 Palaiseau, France Ecole Polytech Palaiseau France F-91128 Mecan, F-91128 Palaiseau, France Univ Penn, Dept Mech Engn & Appl Mech, Philadelphia, PA 19104 USA Univ Penn Philadelphia PA USA 19104 Appl Mech, Philadelphia, PA 19104 USA
Titolo Testata:
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE
fascicolo: 8, volume: 329, anno: 2001,
pagine: 571 - 577
SICI:
1620-7742(200108)329:8<571:BOTSAF>2.0.ZU;2-S
Fonte:
ISI
Lingua:
ENG
Soggetto:
COMPOSITE-MATERIALS;
Keywords:
rheology; composite materials; percolation; ideal plasticity;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
16
Recensione:
Indirizzi per estratti:
Indirizzo: Leroy, Y Ecole Polytech, Dept Mecan, F-91128 Palaiseau, France Ecole Polytech Palaiseau France F-91128 91128 Palaiseau, France
Citazione:
Y. Leroy e P.P. Castaneda, "Bounds on the self-consistent approximation for nonlinear media and implications for the second-order method", CR A S IIB, 329(8), 2001, pp. 571-577

Abstract

It is shown in this note that the recently proposed 'second-order' homogenization method can violate a rigorous bound, when used together with the self-consistent approximation for the relevant 'linear comparison composite. 'Although the second-order method is known to yield quite accurate results for small to moderate volume fractions of the phases, even for high nonlinearity and high contrast situations, it is shown here to fail near the percolation limit, where it can violate the bound for any level of nonlinearity. This suggests that the second-order method should be amenable to improvement to account for the effect of strong field fluctuations near the percolation threshold. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

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Documento generato il 10/07/20 alle ore 12:47:52