The Analytical Solution Of The Plane Problem Of The Quasi-Static Deformation Of An Infinitely Extended Viscoelastic Body With A Circular Viscoelastic With The Help Of Computer Algebrainclusion

The method of the analytical solution is formulated and the algorithm is developed for a specific plane problem of the theory of viscoelasticity. This is the problem of the stress-strain state in infinitely extended body with circular viscoelastic inclusion when the stresses at infinity are fixed. The algorithm is implemented using software tools of computer algebra. Solution uses complex Kolosov-Muskhelishvili potentials, which are defined as pieces of Laurent series. The stress distribution and the form of inclusion in different times are analyzed on the basis of the obtained solution.