A parallel computational method in steady power-law creep

A 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 modi cation to solve non-linear elasticity problems and, at active loading, plasticity problems for bodies of the power-law strain{stress diagrams