Assessment of rolling resistance models in discrete element simulations

The contact between spheres results in a rolling resistance due to elastic hysteresis losses or viscous dissipation. This resistance is shown to be important in the three-dimensional dynamic simulation of the formation of a heap of spheres. The implementation of a rolling friction model can avoid arbitrary treatments or unnecessary assumptions, and its validity is confirmed by the good agreement between the simulated and experimental results under comparable conditions. Numerical results suggest that the angle of repose increases significantly with the rolling friction coefficient and decreases with particle size.

Rolling friction in the dynamic simulation of sandpile formation

Three-dimensional Problems of the Theory of Elasticity. By A. I. Lur’e.1964. (Interscience Publishers)

A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques

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Some Basic Problems Of The Mathematical Theory Of Elasticity

An analytical method that evaluates the evolution of stress and surface profile in fretting under the partial slip conditions is presented. The repeated slip occurring near the edges of contact generates wear that changes the contact geometry and contact stresses. The method is based on two scales of time: time for one cycle of the oscillating tangential force and time corresponding to the number of cycles. Archard's wear law is used to evaluate wear and gap variation within the slip zones during one cycle. The governing integral equations are reduced to calculate the contact pressure after each cycle. Evolution of the contact characteristics (contact pressure and shear stress, contact width, gap and slip functions) in fretting is calculated using a stepwise procedure. It is shown that the size of stick zone does not change in wear process of bodies with similar elastic properties under the constant amplitude load conditions, and that an asymptotic solution corresponding to the number of cycles approaching to infinity exists. Analytical expressions for the asymptotic contact pressure, shear and tensile stress, and the gap function are presented. It is proved that the asymptotic contact pressure and shear stress are singular at the ends of stick zone. Detailed results are given for two initial shapes of elastic indenter contacting with an elastic half-space: for the parabolic cylinder and for the indenter having a flat base with rounded edges.

Wear in Partial Slip Contact

Computer models of freight cars with three-piece and Y25 bogies are considered and compared. Efficient numeric methods for simulation of vehicle models in the presence of frictional contacts are discussed. Some simulation results on derailment safety analysis and influence of track gauge value on freight-car dynamics are presented. Methods of stress loading and durability analysis based on computer simulation and some results are presented. A tribodynamic model of railway vehicle-track interaction and results of computation of wheel and rail profile wear are discussed.

Irina Goryacheva

Papers

Wear in Partial Slip Contact

Freight car models and their computer-aided dynamic analysis

Contact characteristics of a rolling/sliding cylinder and a viscoelastic layer bonded to an elastic substrate

Adhesive interaction of elastic bodies

Rolling contact fatigue defects in freight car wheels