Goal-oriented error estimation and mesh adaptivity in 3d elastoplasticity problems

S. Sh Ghorashi, T. Rabczuk

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We propose a 3D adaptive method for plasticity problems based on goal-oriented error estimation, which computes the error with respect to a prescribed quantity of interest. It is a dual-based scheme which requires an adjoint problem. The computed element-wise errors at each load/displacement increment are utilized for the mesh adaptivity purpose. Mesh adaptivity procedure is performed based on refinement and coarsening by introducing hanging nodes in quadrilateral and hexahedral elements in 2d and 3d, respectively. Several numerical simulations are investigated and the results are compared with available analytical solutions, existing experimental data and results of mesh adaptivity based on other conventional error estimation methods.

Original languageEnglish
Pages (from-to)3-19
Number of pages17
JournalInternational Journal of Fracture
Issue number1-2
Publication statusPublished - 2017 Jan 1
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

Copyright 2017 Elsevier B.V., All rights reserved.


  • Elastoplasticity
  • Goal-oriented error estimation
  • Mesh adaptivity
  • Von-Mises stress

ASJC Scopus subject areas

  • Computational Mechanics
  • Modelling and Simulation
  • Mechanics of Materials


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