Solutions of the Stokes problem between two closely spaced spheres converge to the Reynolds equation solution as the inter-sphere distance approaches zero.
Short-pitch corrugation of railway tracks with wooden or concrete sleepers: an enigma solved? Tribol Int 43(3) (2010)
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Derives viscoelasto-kinematic PDEs for sliding and rolling contact in linear viscoelastic bodies, showing preservation of hyperbolic character and related dynamics between the two processes.
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Asymptotic justification of the Reynolds equation for a spherical bearing
Solutions of the Stokes problem between two closely spaced spheres converge to the Reynolds equation solution as the inter-sphere distance approaches zero.
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Dynamic sliding and rolling friction models for linear viscoelastic contact pairs
Derives viscoelasto-kinematic PDEs for sliding and rolling contact in linear viscoelastic bodies, showing preservation of hyperbolic character and related dynamics between the two processes.
- Two-dimensional FrBD friction models for rolling contact