Mokrytska O. Mathematical simulation of viscoelastic state of wood during drying as a multiphase system.

The thesis is devoted to the solution of scientific problems of mathematical modeling of deformation-relaxation and heat and mass transfer processes in hygroscopic capillary-porous materials as three-phase anisotropic environments. Mathematical model of heat and mass transport for periods of constant and falling drying rate of capillary-porous materials is formulated. Mathematical model of the rheological behavior of wood as a three-phase environment, taking into account the anisotropy of heat and mechanical properties, is developed. Applied software for numerical implementation of mathematical models based on adaptation of finite element method is developed.