On the Application of a Fractional-Power Rheological Model in the Study of Creep and Long-Term Failure of a Composite Rod Taking into Account the Non-Classical Diffusion Effect of the Active Medium

Abstract

The article considers the application of a singular fractional-power rheological model in modeling creep and long-term failure of a composite tensile rod in an active medium. The singular fractional-power model contains a natural mechanical characteristic – the short-term strength limit at the corresponding temperature. A rod of rectangular cross-section consists of three parts symmetrically located along the width and connected to each other with ideal adhesion without slipping. An additional factor affecting the studied rod system is the influence of the active medium, and a non-classical diffusion process is considered, taking into account the presence of the medium in the material in both free and bound states. Based on the kinetic theory of  Yu.N. Rabotnov with two structural parameters, the resulting system of equations for determining the dependences of stresses and damage on time during creep is obtained. A criterial assessment is proposed for determining the time to failure of both individual parts and the entire considered rod system as a whole.