A modified subloading-friction model regularizing the stick-slip transition

Authors

• Mohand OULD OUALI Mouloud Mammeri University Tizi Ouzou
• Ali Ouzeriat Mouloud Mammeri University Tizi Ouzou
• Lahouari Benabou LISV, Université de Versailles Saint-Quentin-en-Yvelines, France

DOI:

https://doi.org/10.30678/fjt.160136

Keywords:

Slip rules, Subloading-friction model, Multi-surface slip, Stick-slip, Numerical Implementation, Abaqus

Abstract

This paper is dedicated to the modeling of friction between solids with a regularized friction model. The proposed model is capable of overcoming the well-known disadvantages of Coulomb-type friction laws. The subloading-friction model, formulated based on the Mroz multi-surface type plasticity theory, is extended to introduce a smooth transition from stick to sliding contact and vice versa during the loading and unloading stages. The formulation includes a slip-memory mechanism and history-dependent effects, with frictional hysteresis, enabling accurate representation of micro-slip accumulation and cyclic energy dissipation. This extension also ensures a smooth and continuous transition between the sticking and slipping contact zones by introducing an adjustable regularization parameter, facilitating efficient implementation in a finite element code. The extended model was successfully implemented into the finite element code Abaqus/Standard using the Fric user subroutine. The extended model was successfully validated by comparison with the analytical solution proposed by Jarzeboski-Mroz for a 2D rectangular block pressed against a rigid substrate, and with the Mindlin-Deresiewicz solution for the problem of a 3D sphere in contact with a rigid plane. Furthermore, comparing the results obtained with Coulomb's law and those described by the extended model shows the significant improvement of the latter in managing the stick-slip transition and reproducing frictional hysteresis.