COMPATIBILITY OF NONLINEAR CONTINUA VIA CARTAN'S METHOD

摘要

The Cosserat compatibility conditions for three-dimensional polar continuum are developed in a new approach using the Cartan method of anholonomic frames. It is applied to formulate the compatibility of Cosserat's deformation measures within the Lagrangean description and to the Cartan equations framework. A few objects as, for instance, the intermediate curvature two-form, the object of anholonomity, etc. are physicaly reintepreted in terms of the Cosserat intrinsic kinematics. Finally, it is shown that compatibility conditions for both Cauchy as well as Cosserat continua can be obtained from the common formalism.