SUCCESSIVE FORMATION OF TWO UNEQUAL ELLIPTIC HOLES IN A VISCOELASTIC INCOMPRESSIBLE SOLID: FINITE STRAINS

A problem of successive formation of two elliptic holes in a prestressed viscoelastic incompressible body is considered for the case of finite strains. The problem formulation and solution are based on the theory of repeatedly superimposed large deformations. The mechanical properties of the material in its initial state are described by integral relations of the convolution type with a weakly singular kernel. In the present paper, we investigate the influence of nonlinear effects, the relative position of the holes, and the time interval between the formations of these holes on the stress concentration.