An accelerated FFT algorithm for thermoelastic and non-linear composites

A fast numerical algorithm to compute the local and overall responses of non-linear composite materials is developed. This alternative formulation allows LIS to improve the convergence of the existing method of Moulinec and Suquet (e.g. Comput. Meth. Appl. Mech. Eng. 1998; 157(1-2):69-94). In the present method, a non-linear elastic (or conducting) material is replaced by infinitely many locally linear thermoelastic materials with moduli that depend on the values of the local fields. This makes it possible to use the advantages of an algorithm developed by Eyre and Milton (Eur Phys. J. Appl. Phys. 1999: 6(l):41-47), which has faster convergence. The method is applied to compute the local fields as well as the effective response of non-linear conducting and elastic periodic composites. Copyright (C) 2008 John Wiley & Sons. Ltd.