Simulation of wear by use of a nonsmooth newton method - A spur gear application

This paper presents a method for calculating wear between two elastic bodie s in contact. Discrete representations of the bodies are obtained by the fi nite element method. Constitutive laws representing the behavior of the int eracting surfaces are then added. These are Signorini's contact law, Coulom b's law of friction, and Archard's law of wear. By formulating Signorini's contact law and Coulomb's law of friction by means of projection equations, the complete formulation of a time increment of a quasistatic wear-frictio n evolution problem becomes a system of nonsmooth equations. A modification of Newton's method is applied to solve this system. The method is applied to a spur gear problem in a heavy truck transmission.