2026/01/20 by Luigi Romano · 1 citation
Computer Science · Engineering · #Brake Systems and Friction Analysis #Contact Mechanics and Variational Inequalities #Dry friction #Extension (predicate logic) #Mathematical model #Mechanical stress and fatigue analysis #Viscoelasticity
paper · pdf · open access · doi:10.1016/j.triboint.2026.111953
published in Tribology International 220, 111953 (Elsevier BV)
openalex created_date 2026/02/08 · openalex publication_date 2026/03/23 · openalex updated_date 2026/07/28
This paper extends the distributed rolling contact FrBD framework to linear viscoelasticity by considering classic derivative Generalised Maxwell and Kelvin-Voigt rheological representations of the bristle element. With this modelling approach, the dynamics of the bristle, generated friction forces, and internal deformation states are described by a system of 2(n+1) hyperbolic partial differential equations (PDEs), which can capture complex relaxation phenomena originating from viscoelastic behaviours. By appropriately specifying the analytical expressions for the transport and rigid relative velocity, three distributed formulations of increasing complexity are introduced, which account for different levels of spin excitation. For the linear variants, well-posedness and passivity are analysed rigorously, showing that these properties hold for any physically meaningful parametrisation. Numerical experiments complement the theoretical results by illustrating steady-state characteristics and transient relaxation effects. The findings of this paper substantially advance the FrBD paradigm by enabling a unified and systematic treatment of linear viscoelasticity.