Open AccessMethod for obtaining a differential equation of the asphalt concrete mix behavior under railway transport load
Author(s) -
Е.А. Шишкин,
А. С. Коваленко
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/918/1/012100
Subject(s) - differential equation , asphalt , track (disk drive) , differential (mechanical device) , rheology , process (computing) , stability (learning theory) , computer science , structural engineering , engineering , materials science , mathematics , mechanical engineering , mathematical analysis , composite material , aerospace engineering , operating system , machine learning
The use of asphalt concrete in the railway track construction allows you to ensure high strength and stability of the railway. The supporting asphalt layer is subjected to force from the railway transport. The study of material behavior under load is of great practical importance. Rheological modeling is a popular tool for studying the behavior of a material under load. The accepted rheological model is described by the corresponding differential equation. Establishing the initial conditions of a differential equation is difficult if its order is 2 or higher. The article describes an establishing initial conditions method for solving the rheological equation of the model. The model’s behavior analytical description over an infinitesimal time period allows you to set initial conditions. The proposed method for establishing the model equation initial conditions simplifies the process of material under load analytical description. This approach to the asphalt concrete layer under load study allows a more conscious approach to the choice of its parameters when designing the railway track elements.