Numerical Simulation on the Adhesive Contact Between Rough Surfaces with Bi-Conjugate Gradient Stabilized Method

A numerical model with bi-conjugate gradient stabilized method (Bi-CGSTAB) is proposed to simulate the adhesive contact between rough surfaces. This model provides a self-consistent solution of surface separation and contact pressure throughout rough surface with the adhesive interactions governed by the Lennard-Jones potential. This model uses the inexact Newton method and the preconditioned Bi-CGSTAB method for each Newton iteration. Both left and right preconditioners are employed. This model is proved to be accurate and feasible and is suitable for the moderate adhesive contact between rough surfaces.