Frictional sliding of cylindrical punch on gradient nanostructured material coating

The object of this work was to describe the behavior of sliding friction on gradient nanostructured material coating by considering the material gradient and size effect. A multi-layer couple stress elasticity model is proposed to simulate gradient nanostructured material coating with arbitrarily varying modulus. The singular integral equation of second kind is obtained to describe the sliding friction problem for gradient nanostructured material coating indented by a cylindrical punch with the help of the Fourier integral transform technology and transfer matrix method. The Gauss-Jacobi quadrature formula is applied to solve the singular integral equation numerically. A parametric study for the influence of characteristic material length, friction coefficient, and material gradient is conducted to investigate the sliding frictional contact problem of gradient nanostructured material coating. The results provide a way to improve the mechanical response in frictional contact by using the gradient nanostructured material coating.

Automated summary

The behavior of sliding friction on gradient nanostructured material coating is described in this study, considering the material gradient and size effect. A multi-layer couple stress elasticity model is proposed to simulate the coating with varying modulus. The sliding friction problem is analyzed using a singular integral equation and numerical methods, and the influence of characteristic material length, friction coefficient, and material gradient is investigated.