A control volume-based finite element method for plane micropolar elasticity

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Abstract

This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded two-dimensional membrane exhibiting micropolar or Cosserat constitutive behaviour. The procedure employs a conventional finite element (FE) mesh together with a dual mesh of interconnected control volumes, each of which must satisfy equilibrium. A series of patch tests covering a variety of simple strain states are used to validate the procedure that is then employed to predict the stress concentration in a membrane containing a small hole. The predictions provided by the procedure are compared with those given previously by FEs.
Original languageEnglish
Pages (from-to)992-1006
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume75
Issue number8
DOIs
Publication statusPublished - 20 Aug 2008

Keywords

  • micropolar
  • Cosserat
  • finite element
  • control volume
  • finite element method
  • concentration process
  • forecasting
  • hole concentration
  • stress concentration

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