Estimating the stress and fatigue damage of a thin film with non-linear viscoelastic using asymptotic analysis

Abstract

The paper discusses the nonlinear behavior of a viscoelastic 3D thin film in frictional contact with a flat substrate. The frictional contact is modeled by Coulomb’s law of friction at substrate. A function is included for damage caused by strain or excessive film stress to which the materials may be subjected over time. Assumptions and a functional framework are identified to allow for the existence and uniqueness of the weak solution to the problem. In contrast, preliminary estimates of the potential damage and stresses to the system during a specified operating period T are disclosed, the study concluded in the latter by an asymptotic analysis model of the problem explained with mathematical justifications and intended results.