Geodesic
Extremum theorems for finite-step back-ward-difference analysis of elastic-plastic nonlinearly hardening solids
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 4, pp. 711-715

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

For the finite-step, backward-difference analysis of elastic-plastic solids in small strains, a kinematic (potential energy) and a static (complementary energy) extremum property of the step solution are given under the following hypotheses: each yield function is the sum of an equivalent stress and a yield limit; the former is a positively homogeneous function of order one of stresses, the latter a nonlinear function of nondecreasing internal variables; suitable conditions of "material stability" are assumed. This communication anticipates results to be presented elsewhere in an extended version. Therefore, proofs of the statements and various comments are omitted. 
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     author = {Maier, Giulio and Novati, Giorgio},
     title = {Extremum theorems for finite-step back-ward-difference analysis of elastic-plastic nonlinearly hardening solids},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali},
     pages = {711--715},
     publisher = {mathdoc},
     volume = {Ser. 8, 82},
     number = {4},
     year = {1988},
     zbl = {0737.73049},
     mrnumber = {1139818},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLINA_1988_8_82_4_a10/}
}
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Maier, Giulio; Novati, Giorgio. Extremum theorems for finite-step back-ward-difference analysis of elastic-plastic nonlinearly hardening solids. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 4, pp. 711-715. http://geodesic.mathdoc.fr/item/RLINA_1988_8_82_4_a10/