Geodesic
Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 177-186

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

For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for the solution of the finite-step analysis problem. This communication anticipates in an abbreviated form results to be presented elsewhere in an extended form: here proofs and various comments are omitted. 
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     author = {Comi, Claudia and Maier, Giulio},
     title = {Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali},
     pages = {177--186},
     publisher = {mathdoc},
     volume = {Ser. 8, 83},
     number = {1},
     year = {1989},
     zbl = {0732.73017},
     mrnumber = {1142456},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLINA_1989_8_83_1_a26/}
}
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Comi, Claudia; Maier, Giulio. Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 177-186. http://geodesic.mathdoc.fr/item/RLINA_1989_8_83_1_a26/