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
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.