Adhesive tangential impact without slip of a rigid sphere and a power-law graded elastic half-space: Numerical analysis based on the Method of Dimensionality Reduction

E. Willert, V. L. Popov

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1 Citation (Scopus)


The JKR-adhesive impact of a rigid sphere on a power-law graded half space is studied analytically and numerically under the assumptions of elastic similarity, no-slip and quasi-stationarity. The coefficient of normal restitution is determined analytically. The tangential problem is solved by a numerical algorithm based on the Method of Dimensionality Reduction. The tangential coefficient of restitution is depending on only two properly chosen dimensionless parameters. Thereby the presence of only very weak adhesion severely changes the tangential restitution of the sphere.

Original languageEnglish
Pages (from-to)872-878
Number of pages7
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue number7
Publication statusPublished - 1 Jul 2017



  • JKR-theory
  • Method of Dimensionality Reduction
  • no-slip
  • Oblique elastic impacts
  • power-law graded elastic half-space

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

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