Influence of the Tabor parameter on the adhesive normal impact of spheres in Maugis–Dugdale approximation

E. Willert, I. A. Lyashenko, V. L. Popov

Research output: Contribution to journalArticle

7 Citations (Scopus)


We study the influence of the adhesive interaction range on the coefficient of restitution in the normal impact of spheres by analytical and semi-analytical means based on a Maugis–Dugdale model for the adhesive stress. It is found, that—depending on the value of the Tabor parameter—the impact may start and end with and without direct contact between the surfaces. The hysteretic loss of energy takes its maximum value in the JKR-limit, which for even quite large values of the Tabor parameter noticeably overestimates this loss. Our findings can be applied for the rigorous study of adhesive collisions of elastic particles with and without friction.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalComputational Particle Mechanics
Issue number3
Publication statusAccepted/In press - 10 Oct 2017



  • Adhesive impacts
  • Dugdale–Maugis model
  • Restitution
  • Tabor parameter

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Civil and Structural Engineering
  • Computational Mechanics
  • Computational Mathematics
  • Modelling and Simulation
  • Numerical Analysis

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