Визначення напружено-деформованого стану пористої гумової плити в умовах нелінійного деформування

Abstract

There was created an approach for the numerical analysis of stress-strain state of the porous plate in non-linear strained conditions. Porous body stress tensor is based on the general Hooke’s law and includes the dependence from the porous material elasticity, metric tensor components, approximation of the first, second and the third strain tensor invariants. For viscoelastic deformation modeling there’re used integral relations based on Boltzmann-Volterra genetic theory. There was made a calculation of porous plate allowing the relaxation only of the porous rubber shift module in terms of viscoelastic deformation using the relaxation core. As a result, there were received the components of deformation stress state i.e. time distribution of normal stresses and motion dependence on both time and stress.