Geodesic
Unconditionally stable mid-point time integration in elastic-plastic dynamics
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 4, pp. 367-376

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

The dynamic analysis of elastoplastic systems discretized by finite elements is dealt with. The material behaviour is described by a rather general internal variable model. The unknown fields are modelled in terms of suitable variables, generalized in Prager's sense. Time integrations are carried out by means of a generalized mid-point rule. The resulting nonlinear equations expressing dynamic equilibrium of the finite step problem are solved by means of a Newton-Raphson iterative scheme. The unconditional stability of the adopted integration method is proved according to two nonlinear stability 
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     title = {Unconditionally stable mid-point time integration in elastic-plastic dynamics},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {367--376},
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     volume = {Ser. 9, 1},
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Corigliano, Alberto; Perego, Umberto. Unconditionally stable mid-point time integration in elastic-plastic dynamics. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 4, pp. 367-376. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_4_a11/