Exact restitution and generalizations for the Hunt–Crossley contact model

September 2019

The coefficient of restitution is an empirical contact parameter, determined for several combinations of materials, and is widely employed to characterize energy loss during impact. To this day, no exact solution has been proposed for determining the damping term in the generally accepted Hunt–Crossley contact model as a function of the restitution coefficient. In this article, the exact solution for this problem is finally put forth. It is further noted that the viscoelastic model, proposed by Hunt and Crossley, may generate an undesirable adhesive force, between otherwise repulsive surfaces, when external forcing terms are present. To solve this problem, efficient extensions are proposed for the viscoelastic model, which are guaranteed to be non-adhesive outside the determined compression-restitution phase. Finally, a new continuous contact model is proposed, comprising an exponential viscoelastic force of the form which follows from the previous extensions and for which the exact implementation of restitution coefficient also applies. This new model can be seen as a generalization of the Hunt–Crossley contact model.

Authors in the community:

• 

  J

  Jorge Manuel Mateus Martins

  ist14135

  Affiliations and sources

  IST > LAETA

  Laboratório Associado de Energia, Transportes e Aeronáutica

  IST > IDMEC

  Instituto de Engenharia Mecânica

  IST > DEM

  Departamento de Engenharia Mecânica

  In: orcid

  ID: 72920939

MECHANISM AND MACHINE THEORY

174

194

139

10.1016/j.mechmachtheory.2019.03.028

mechanical-engineering - Mechanical engineering

eng - English