Technique for selecting the functions of the constitutive equations of creep and long-term strength with one scalar damage parameter

Abstract

The strain-strength characteristics of aerostructures made of hardening materials under uniaxial tension in creep conditions are determined. The problem is reduced to a system of ordinary differential equations of the kinetic theory of creep with one scalar damage parameter. The approximate solutions of the problem are obtained with the help of the implicit Euler method and of the arc length method in combination with the explicit methods of the Runge–Kutta family for cylindrical St.45 steel samples and 3V titanium alloy plates.