Modeling of the study of viscoelastic deformation of elastic bodies

R. N. Neskorodev, A. V. Zyza

Donetsk State University, Donetsk, Russia

Abstract: This article proposes a numerical-analytical method for solving linear viscoelasticity problems of an anisotropic solid without the need for explicit analytical representations of creep and relaxation kernels. The approximate solution of integral equations is based on the direct use of experimental data, previously smoothed and filled with a finer mesh. Thus, solving boundary-value problems of viscoelasticity is reduced to solving elasticity problems at an arbitrary point in time.

Keywords: viscoelastic deformation, anisotropic medium, numerical-analytical solution.

UDC: 539.376

DOI: 10.22363/2413-3639-2025-71-3-385-394