Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes

I.D. Breslavsky, M. Amabili, M. Legrand, Farbod Alijani

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

The axisymmetric deformations of thick circular rings are investigated. Four materials are explored: linear material, incompressible Neo-Hookean material and Ogden's and Bower's forms of compressible Neo-Hookean material. Radial distributed forces and a displacement-dependent pressure are the external loads. This problem is relatively simple and allows analytical, or semi-analytical, solution; therefore it has been chosen as a benchmark to test commercial finite element software for various material laws at large strains. The solutions obtained with commercial finite element software are almost identical to the present semi-analytical ones, except for the linear material, for which commercial finite element programs give incorrect results.
Original languageEnglish
Pages (from-to)39-45
JournalInternational Journal of Non-Linear Mechanics
Volume84
DOIs
Publication statusPublished - 2016

Keywords

  • Circular rings
  • Pressure
  • Hyperelasticity
  • Non-linear deformations

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