A FAST NUMERICAL-METHOD FOR COMPUTING THE LINEAR AND NONLINEAR MECHANICAL-PROPERTIES OF COMPOSITES

Authors
MOULINEC H SUQUET P
Citation
H. Moulinec et P. Suquet, A FAST NUMERICAL-METHOD FOR COMPUTING THE LINEAR AND NONLINEAR MECHANICAL-PROPERTIES OF COMPOSITES, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 318(11), 1994, pp. 1417-1423
Citations number
6
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre → ACNP
ISSN journal
07644450
Volume
318
Issue
11
Year of publication
1994
Part
1
Pages
1417 - 1423
Database
ISI
SICI code
0764-4450(1994)318:11<1417:AFNFCT>2.0.ZU;2-B
Abstract
This Note is devoted to a new iterative algorithm to compute the local and overall response of a composite from images of its (complex) micr ostructure. The elastic problem for a heterogeneous material is formul ated with the help of a homogeneous reference medium and written under the form of a periodic Lippman-Schwinger equation. Using the fact tha t the Green's function of the pertinent operator is known explicitely in Fourier space, this equation is solved iteratively. The method is e xtended to the case where the individual constituents are elastic-plas tic Von Mises materials with isotropic hardening.