Iterative method for solving quasistatic nonlinear viscoelastic problems

Construction of an iterative procedure for nonlinear viscoelastic boundary-value problems is considered. The proposed approach allows us to obtain the solution of the problem by solving the sequence of simpler linear elastic problems. Substantiation of the convergence of iterations is given, and the main merits of the developed method are formulated. Two model problems are solved to illustrate the construction of iterative schemes by different approximate methods and to assess the practical convergence of the iterative procedure.