SUMMARYA new approach to parallelization of materially non-linear problems in solid mechanics is developed. It is based on approximating generalized models of subdomains. The procedure does not retain the same substructuring technique used in a linear version. The convergence proof of the single-and multilevel-domain decomposition algorithms uses the principle of minimum potential energy dissipation and investigated properties of the substructural models. The high e ciency of the approach introduced is shown through the study of several examples. The method developed in this paper for steady creep can be used without modiÿcation to solve non-linear elasticity problems and, at active loading, plasticity problems for bodies of the power-law strain-stress diagrams.

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