SIMULATION OF WEAR BY USE OF A NONSMOOTH NEWTON METHOD—A SPUR GEAR APPLICATION1-2^{* †}

Abstract

This paper presents a method for calculating wear between two elastic bodies in contact. Discrete representations of the bodies are obtained by the finite element method. Constitutive laws representing the behavior of the interacting surfaces are then added. These are Signorini's contact law, Coulomb'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-friction 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.

^*Communicated by B. M. Kwak.

^†Funded by the Program Board for the Swedish Automotive Research Program and Scania CV AB.

Acknowledgments

Notes

^*Communicated by B. M. Kwak.

^†Funded by the Program Board for the Swedish Automotive Research Program and Scania CV AB.