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Equivalent dissipation postulates in classical plasticity

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Sommario

In plasticitá classica l'evoluzione dei processi elasto-plastici é regolata da postulati di dissipazione su cicli quali quelli proposti da Drucker, Martin e Il'yushin. In questo lavoro, nell'ambito della teoria infinitesima dei materiali isotropi con dominio elastico proposta in [7], si fornisce una formulazione locale equivalent per ciascuno di quei tre postulati e si mostra che essi sono tutti tra loro equivalenti.

Summary

In classical plasticity dissipation postulates on cycles, such as those proposed by Drucker, Martin e Il'yushin, rule the evolution of elastic-plastic deformation processes. In this paper, within the framework of the infinitesimal theory of isotropic materials with elastic range of [7], each one of those three postulates is given an equivalent local formulation; moreover, they are shown to be all equivalent.

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Lucchesi, M., Podio-Guidugli, P. Equivalent dissipation postulates in classical plasticity. Meccanica 25, 26–31 (1990). https://doi.org/10.1007/BF02015032

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  • DOI: https://doi.org/10.1007/BF02015032

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