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A control volume‐based finite element method for plane micropolar elasticity
Author(s) -
Wheel M. A.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2293
Subject(s) - finite element method , elasticity (physics) , plane stress , constitutive equation , structural engineering , mathematics , stress (linguistics) , membrane , mechanics , engineering , mathematical analysis , materials science , composite material , physics , chemistry , linguistics , philosophy , biochemistry
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. Copyright © 2008 John Wiley & Sons, Ltd.