190 likes | 527 Views
Modeling Static Friction of Rubber-Metal Contact. MANE 6960 Friction & Wear of Materials Katie Sherrick. Introduction. Most laws of friction are based on metal-metal contact Elastomer-metal contacts do not have the same friction properties as traditional friction laws would indicate
E N D
Modeling Static Friction of Rubber-Metal Contact MANE 6960 Friction & Wear of Materials Katie Sherrick
Introduction • Most laws of friction are based on metal-metal contact • Elastomer-metal contacts do not have the same friction properties as traditional friction laws would indicate • Differences in elastomer-metal contact friction are due primarily to the viscoelastic nature of the elastomer
Contact Pressure: Elastic-Rigid P Hertzian Contact δ G = shear modulus (sphere) a = contact radius
Viscoelasticity • Rubber and elastomeric materials are viscoelastic in behavior exhibit both viscous and elastic properties when undergoing deformation • Time-dependent strain
SLS Model • Standard Linear Solid (Zener) More accurate than the Kelvin or Maxwell models for elastomeric materials Accounts for both creep and stress relaxation
Normal Viscoelastic-Rigid Single Asperity Contact • Correspondence principle elastic solution is used to obtain viscoelastic
Tangential Loading If tangential load Q is applied to the normally-loaded asperity couple, the distribution of shear stresses is per Mindlin: P δ c is radius of the stick zone Q Limiting displacement for an asperity couple: Q = μP
Model Validation Static Friction Force as a function of Normal Approach (δn)
Multi-Asperity Contact Mechanics • Contact between rubber-like material and metal is simulated for the load-controlled case • The asperity interactions depend on surface roughness parameters (Greenwood & Williamson) • Average summit radius β • Standard deviation of summit heights σ • Summit density ηs
Multi-Asperity Modeling • Depending on compression of each asperity couple, each individual couple is either: • Partial slip • Full slide • A critical asperity height is calculated: d = surface separation σ= std. dev of summit heights δt = tangential displacement
Multi-Asperity Modeling • All contacts with a height larger than scr are in partial slip regime • The total friction force is a summation of the full slide and partial slip regimes: Friction force for viscoelastic contact are calculated by substituting the appropriate operator for G in this equation Φ(s) is the normalized Gaussian asperity height distribution
Multi-Asperity Modeling • When Fpartially-slip = 0, all asperities in contact are in full slide max friction force is reached • Calculated using either the load-controlled or displacement-controlled single-asperity contact models
Multi-Asperity Results Material Properties Effect of Surface Roughness Model results are comparable to experimental values at low pressures