Simulation of the impact response of a sliotar core with linear and non-linear contact models

Kevin Hanley, Fiachra Collins, Kevin Cronin, Edmond Byrne, Kieran Moran, Dermot Brabazon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Static and dynamic models of the characteristic responses of sliotar cores made of both cork and polyurethane were studied in this work in order to understand their constitutive behaviour. Data from quasi-static tests at 10 um/s and from dynamic impacts at speeds from 5 to 25 m/s were used to develop and evaluate the models. The quasi-static response was described well by Hertzian theory. A non-linear Hunt-Crossley model and a modified linear Kelvin-Voigt model were used to predict the dynamic response with set mass and shape coefficient parameters. The Hunt-Crossley model predicted well both the maximum force and maximum deflection for each ball type. The Hunt-Crossley model generally captured the experimental contact times well with a mean difference between experimental and model contact times of 8.3%. The mean difference between the Kelvin-Voigt model and experimental contact times was 7.6%, while the corresponding mean difference for the coefficient of restitution was 131%. Overall, the modified Kelvin-Voigt model predicted the parameters of contact time and coefficient of restitution well. Contact time and coefficient of restitution prediction in this linear model were not particularly sensitive to the strain rate. (C) 2012 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)113-122
Number of pages10
JournalInternational Journal of Impact Engineering
Publication statusPublished - Dec 2012
Externally publishedYes


  • Phenomenological and physical dynamic models
  • Hunt-Crossley
  • Kelvin-Voigt
  • Modulus of elasticity
  • Hertzian contact stiffness


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