Method of Virtual Power Applied to Cosserat Surfaces With Deformable Directors

[+] Author and Article Information
Boris Krajnc Alves

Department of Informatics, Federal University of Espírito Santo, Vitória ES, Brazil 29069

Jacob Lubliner

Department of Civil Engineering, University of California, Berkeley CA 94720

Appl. Mech. Rev 46(11S), S266-S278 (Nov 01, 1993) doi:10.1115/1.3122645 History: Online April 29, 2009


Following a brief outline of the method of virtual power, the local equations of motion for a Cosserat surface with inextensible directors are derived by means of this method. The model obtained coincides with the results derived from three-dimensional theory by Simo and Fox. Subsequently the model is extended so as to account for deformable directors. Besides the linear-momentum and moment-of-momentum balance equations, one additional scalar equation is derived. This equation replaces the director-momentum balance equation of Naghdi and therefore eliminates the necessity of introducing constitutive restrictions. The equivalence between the model derived by the virtual-power method and the results from the direct method of Naghdi are finally noted.

Copyright © 1993 by American Society of Mechanical Engineers
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