The technique of determining the stress-strain state of the polymer thick cylindrical shells in flat tension conditions with effects of temperature and creep deformation. As the law of the relationship between stress and strain is used nonlinear equation of Maxwell-Gurevich. Solution is performed numerically by finite element method.
Keywords: nonlinear creep, cylinder, the Maxwell-Gurevich equation, finite element method, relaxation viscosity, viscoelasticity, high elasticity modulus, plane stress and temperature.
The resolving equations for determining stress-strain state of thick-walled polymeric cylindrical shell under plane strain state with changes in temperature and highly elastic strains. Into law that describes the relation between stress and creep strain, the nonlinear equation of Maxwell-Gurevich. The solution is performed numerically using the finite element method.
Keywords: nonlinear creep, plastic cylinder, highly elastic deformation, the equation of Maxwell-Gurevich, finite element method, viscoelasticity, modulus of viscoelasticity, plane strain state, temperature.
Solved the inverse problem for a thick-walled cylinder, experiencing temperature and force action, under the plane of the axisymmetric problem of elasticity theory. By the variation of the modulus of elasticity, in which the cylinder is equally stressed by the Mohr's theory of strength. The problem is reduced to a differential equation of the first order. This equation was solved numerically, using the Runge-Kutta method of fourth order.
Keywords: thick-walled cylinder, optimization, heterogeneity, method, Runge-Kutta, temperature, flat axisymmetric problem