Mathematical modeling of the pure bending for the multimodulus aviation material beam at creep conditions

Abstract

The paper deals with the solution of pure bending of rectangular beam AK4-1T at constant temperature loaded constant bending moment. The research of construction for creep and long-term strength with the whole distribution pattern of the stress until the beginning of destruction considered. The numerical calculation of the problem is solved with the equations of the energy variant of the theory of creep, as well as the method of the solution continuation with respect to a parameter and the best parameterization, using four methods of numerical integration of ordinary differential equations: Euler method, Euler-Cauchy method, fourth-order Runge-Kutta method and fourth-order Adams method. The paper also considers comparison of two methods for the solution of the numerical results and a comparison of the numerical solutions with the experimental data as well.

Keywords

• ползучесть
• разрушение
• удельная энергия рассеяния
• параметр поврежденности
• метод продолжения решения по параметру
• наилучшая параметризация
• системы дифференциальных уравнений