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 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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},
     year = {1990},
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     number = {4},
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     mrnumber = {MR1096829},
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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/