Geodesic
A variationally consistent generalized variable formulation of the elastoplastic rate problem
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 177-190

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The elastoplastic rate problem is formulated as an unconstrained saddle point problem which, in turn, is obtained by the Lagrange multiplier method from a kinematic minimum principle. The finite element discretization and the enforcement of the min-max conditions for the Lagrangean function lead to a set of algebraic governing relations (equilibrium, compatibility and constitutive law). It is shown how important properties of the continuum problem (like, e.g., symmetry, convexity, normality) carry over to the discrete problem if «generalized variables» are used in the discretization. A couple of dual kinematic and static minimum properties in generalized variables are finally derived. 
@article{RLIN_1991_9_2_2_a10,
     author = {Comi, Claudia and Perego, Umberto},
     title = {A variationally consistent generalized variable formulation of the elastoplastic rate problem},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {177--190},
     publisher = {mathdoc},
     volume = {Ser. 9, 2},
     number = {2},
     year = {1991},
     zbl = {0726.73098},
     mrnumber = {MR1120137},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a10/}
}
TY  - JOUR
AU  - Comi, Claudia
AU  - Perego, Umberto
TI  - A variationally consistent generalized variable formulation of the elastoplastic rate problem
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 1991
SP  - 177
EP  - 190
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a10/
LA  - en
ID  - RLIN_1991_9_2_2_a10
ER  - 
%0 Journal Article
%A Comi, Claudia
%A Perego, Umberto
%T A variationally consistent generalized variable formulation of the elastoplastic rate problem
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 1991
%P 177-190
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a10/
%G en
%F RLIN_1991_9_2_2_a10
Comi, Claudia; Perego, Umberto. A variationally consistent generalized variable formulation of the elastoplastic rate problem. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 177-190. http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a10/