A control volume‐based finite element method for plane micropolar elasticity | Zendy

Wheel M. A. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research