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

Wheel, M.A. (2008) A control volume-based finite element method for plane micropolar elasticity. International Journal for Numerical Methods in Engineering, 75 (8). pp. 992-1006. ISSN 0029-5981 (https://doi.org/10.1002/nme.2293)

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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.

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• Item metadata

  Item type:	Article
  ID code:	5673
  Dates:	Date Event 20 August 2008 Published
  Subjects:	Technology > Mechanical engineering and machinery Science > Mathematics > Probabilities. Mathematical statistics Science > Physics
  Department:	Faculty of Engineering > Mechanical and Aerospace Engineering
  Depositing user:	Strathprints Administrator
  Date deposited:	12 Mar 2008
  Last modified:	17 Apr 2024 00:13
  URI:	https://strathprints.strath.ac.uk/id/eprint/5673