01894nam a2200241Ia 4500 MX-MdCICY 20260521091552.0 CICY B-17240 A variational approach to the Cosserat-like continuum International Journal of Engineering Science, 31(11), p.1475-1483, 1993 The exposition given here is intended to show an equivalent variational approach to formulation of the virtual work principle for the Cosserat-like continuum. Stationarity conditions of an action integral lead to the Euler-Lagrange equations identified with the balance equations for stresses and couple-stresses within micropolar and micromorphic continua. Vector fields as independent variables are taken so as to satisfy the known Stokes' decomposition. Based on the standard variational arguments, for a given Lagrangian function and an assumed 1-parameter family of transformations of both the independent and dependent variables, the fundamental variational formula identified with the virtual work principle of the Cosserat-like continuum is obtained. To determine the immediate relations between the geometric variation of the boundary and the variation of the field variables the transversality conditions are used. A notion of an independent integral is used to define invariance conditions of the integral in question which is invariant under an action of an r-parameter Lie group. INTEGRAL EQUATIONS MATHEMATICAL TRANSFORMATIONS NUMERICAL METHODS STRESSES VARIATIONAL TECHNIQUES VECTORS Saczuk, J. https://drive.google.com/file/d/1p7AgE166sP2WHfR-mk4tjNJFbrbEw-np/view?usp=drivesdk Para ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx Loc REF1 250602s9999 xx |||||s2 |||| ||und|d 27342 27342 0 0 Loc 0 0 F1 CICY CICY RE 2025-06-25 0 B-17240 2025-06-25 16:02:07 2025-06-25 REF1