The distributed rolling-contact FrBD friction framework is extended to arbitrary-order linear viscoelasticity by deriving Generalised Maxwell and Kelvin-Voigt bristle formulations, and the linear PDE variants are shown to be well-posed and passive under a pressure condition.
Viscoelastic Multilayered Cylinders Rolling With Dry Friction
2 Pith papers cite this work, alongside 57 external citations. Polarity classification is still indexing.
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A viscoelasto-kinematic PDE framework is derived in which sliding and rolling friction between two deformable viscoelastic bodies obey the same hyperbolic transport structure.
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Two-dimensional FrBD friction models for rolling contact: extension to linear viscoelasticity
The distributed rolling-contact FrBD friction framework is extended to arbitrary-order linear viscoelasticity by deriving Generalised Maxwell and Kelvin-Voigt bristle formulations, and the linear PDE variants are shown to be well-posed and passive under a pressure condition.
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Dynamic sliding and rolling friction models for viscoelastic contact pairs
A viscoelasto-kinematic PDE framework is derived in which sliding and rolling friction between two deformable viscoelastic bodies obey the same hyperbolic transport structure.