Computational Mechanics Framework for Simulations andb Prediction of Wear in Frictional Contacts

A computational finite element modelling of a mechanical model to predict wear, including friction, is proposed in this work. As an ex- pansion of the interface finite element with an embedded profile for joint roughness (MPJR interface finite element), it is designed to solve the frictional contact problem between rigid indenters of any complex shape and elastic bodies. In the formulation, the non-linearity due to contact is considered for predicting contact traction, frictional effects, and wear. This formulation interfaces with FEM software and can em- bed roughness or general deviations from the planarity as a correction to the normal gap function. The model employs a regularized version of the Coulomb friction law for the tangential contact response while introducing a penalty approach in the normal contact direction. The present framework enables the comprehensive investigation of the tan- gential and normal tractions via the computation of displacements and the displacement gaps in the model. These tangential and normal trac- tions can be used to calculate the wear rate via the wear law. The model defines wear by contact force and gaps. Due to this, contact pressure develops wear and the normal gap changes. Model parameters related to the constitutive equations of the interface where two bodies come in contact: regularized coulomb friction law and Archard’s wear law out- lined. In conclusion, this model predicts the wear and wear rate at the micro-scale level and explains how to formulate and predict wear at the macro-scale level.