Non‐stationary plane problem of the successive origination of stress concentrators in a loaded body. Finite deformations and their superposition

Abstract

The first (for the given class of problems) results of solving non-stationary plane problems of non-simultaneous origination of holes and inclusions in a preliminary loaded solid with initial finite strains are presented and discussed. It is taken into account that the origination of a hole or an inclusion produces additional finite deformations (at least, at the vicinity of the hole) superimposed 'physically' on the finite initial ones. The problem is solved using the theory of repeated superposition of large deformations. It is supposed that the shape of stress concentrators is given at the moment of their origination. Calculations were made with the use of the specialized computer package 'Superposition' based on finite-element method. Stress fields are presented at different times. The change of maximal stresses in time is also presented.