Место издания:Институт машиноведения имени А.А. Благонравова ИМАШ РАН. Москва
Первая страница:126
Последняя страница:132
Аннотация:Abstract. To describe a creep process taking into account the third stage (the stage
of increasing rate), Yu. N. Rabotnov’s kinetic creep theory is used in many
instances. Damage function ω plays the key role in this theory, for which a
respected differential equation is formulated. In this work the damage function is
for the first time determined from a series of creep tests, and on the basis of the
kinetic creep theory a mathematical model of creep processes is formulated taking
into account the third stage of the process. An algorithm is implemented where the
entire set of experimental curves is approximated by one analytic expression but
with different approximation coefficients which are assumed to be dependent on
stressσ . Therefore, the formulated mathematical model includes Rabotnov’s
kinetic creep theory where the damage function ω is determined experimentally
and satisfies a differential equation agreed with the creep equation; whereas creep
curves are given by analytic approximation where the coefficients depend on
stress. The model allows the creep curve to be calculated up to destruction at any
stress value σ and given temperature T on the basis of available experimental
data.
The method is illustrated by an example of real creep curves processing.
A good match between the experimental results and model calculations is
achieved.