Subloading-friction model with saturation of tangential contact stress

The incorporation of the saturation of the tangential contact stress with the increase of the normal contact stress is required for the analysis of the friction phenomenon of solids and structures subjected to a high normal contact stress,which cannot be described by the Coulomb friction condition,in which the tangential contact stress increases linearly with the increase of the normal contact stress.In this article,the subloading-friction model,which is capable of describing the smooth elastic-plastic transition,the static-kinetic transition,and the recovery of the static friction during the cease of sliding,is extended to describe this property.Further,some numerical examples are shown,and the validity of the present model will be verified by the simulation of the test data on the linear sliding of metals.

Description of sand–metal friction behavior based on subloadingfriction model

A subloading-friction model is formulated to describe the smooth transient variation from static friction to kinetic friction,the recovery to static friction after the sliding velocity decreases,and the accumulation of sliding displacement under the cyclic loading of contact stress.In the past relevant studies,however,the model formulation used for simulations is limited to the hypoelastic-based plasticity framework,and the validation of the model is limited to simulations of the test data for metal-to-metal friction.In this study,the formulation of the subloading-friction model based on a hyperelastic-based plasticity framework is adopted.In the fields of civil,geotechnical,agricultural engineering,and terramechanics,the interaction between soils and metals is critical,as reflected in construction and agricultural machinery,foundation piles,and retaining walls.The validity of the model for describing the friction between various sands and metals is verified by simulations of the experimental data under monotonic and cyclic loadings.