A new variational formulation of Cosserat elasticity treats coframe and rotational connection as independent fields to derive force and moment balance laws via Euler-Lagrange equations and Noether theorems without a priori compatibility constraints.
Germain The method of virtual power in continuum mechanics, SIAM Jour- nal on Applied Mathematics, 25 (1973), 556–575
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A Variational Formulation of Classical Cosserat Elasticity with Independent Coframe and Rotational Connection
A new variational formulation of Cosserat elasticity treats coframe and rotational connection as independent fields to derive force and moment balance laws via Euler-Lagrange equations and Noether theorems without a priori compatibility constraints.