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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

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    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.