On volumetric locking-free behaviour of p-version finite elements under finite deformations

Ulrich Heisserer, Stefan Hartmann, Alexander Düster, Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


We demonstrate the locking-free properties of the displacement formulation of p-finite elements when applied to nearly incompressible Neo-Hookean material under finite deformations. For an axisymmetric model problem we provide semi-analytical solutions for a nearly incompressible Neo-Hookean material exploited to investigate the robustness of p-FEM with respect to volumetric locking. An analytical solution for the incompressible case is also derived to demonstrate the convergence of the compressible numerical solution towards the incompressible case when the compression modulus is increased.

Original languageEnglish
Pages (from-to)1019-1032
Number of pages14
JournalCommunications in Numerical Methods in Engineering
Issue number11
StatePublished - 1 Nov 2008


  • Axisymmetry
  • Finite strains
  • Hyper-elasticity
  • Locking-free
  • Nearly incompressible Neo-Hooke material
  • p-FEM

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • General Engineering
  • Computational Theory and Mathematics
  • Applied Mathematics


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