The article provides information about method of sustainability calculation of compressed polymer rods taking into account nonlinear creep . As the law of the relationship between stress and strain is used nonlinear equation of Maxwell-Gurevich. Derived from the analysis of the resolving equations with time tends to infinity, we obtain an expression for a long critical force in the case of constant rigidity of the rod.
Keywords: nonlinear creep, rod, stability, Maxwell-Gurevich, finite difference method, long critical force, relaxation viscosity, viscoelasticity, high elasticity modulus.
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.
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