Impact indentation of a rigid body into an elastic layer. Axisymmetric problem

V. D. Kubenko, G. Osharovich, M. V. Ayzenberg-Stepanenko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


An axisymmetric contact-impact problem is considered for an elastic layer subjected to normal indentation of a rigid body. An exact analytical solution is obtained in the case of a blunt shape of the indenter having a given velocity, and the stress pattern under multiple reflections is analyzed depending on the layer thickness. A numerical solution of the problem with arbitrary indenter shape is obtained on the basis of the simplified model of the theory of elasticity having a single displacement coincident with the impact direction. The explicit finite difference algorithm is designed on the basis of the mesh dispersion minimization technique. A parametric analysis is presented of the stress pattern developed with time with respect to variations of irregular shapes of the indenter and its masses.

Original languageEnglish
Pages (from-to)670-687
Number of pages18
JournalJournal of Mathematical Sciences
Issue number5
StatePublished - 1 Aug 2011

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics (all)
  • Applied Mathematics


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