A non-stationary problem of the origination of a circular hole in a 2D solid made of viscoelastic material is considered. It is supposed that the shape of the stress concentrator is given at the moment of its origination. It is taken into account that the stress concentrator origination leads to a non-stationary redistribution of finite strains («physical» superposition of finite strains) in a solid. The theory of repeated superposition of large deformations is used to formulate the problems. Adamov`s constitutive relations are taken for material modeling. While numerical modeling method of Prony series expansion was applied for computing integral in viscoelastic constitutive relations. Prony method was used for Prony series expansion. Based on this approach, the software module for finite element CAE-package - Fidesys was implemented. Using the developed module the problem was solved for various time steps and meshes.
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