Sommario
Viene discussa la soluzione incrementale dei problemi al contorno per i mezzi continui rigido-viscoplastici isotropi soggetti ad azioni dinamiche. Si dimostrano due teoremi duali che riportano il problema alla minimizzazione di opportuni funzionali in una classe di funzioni definita attraverso vincoli appropriati. Il primo teorema concerne le tensioni e le accelerazioni, il secondo le sole accelerazioni. Alcune considerazioni conclusive chiudono il lavoro.
Summary
The paper discusses the incremental boundary value problem for rigid-viscoplastic isotropic continua subjected to dynamic actions. A pair of dual extremum theorems reduces the problem to the minimization of some functionals in a class of functions defined by appropriate constraints. The first theorem takes as variables stresses and accelerations, the latter only the accelerations. Some conclusions end the paper.
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The results presented in the paper form part of a Research supported by the National Research Council (C.N.R.).
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Capurso, M. Minimum principles in the dynamics of isotropic rigid-plastic and rigid-viscoplastic continuous media. Meccanica 7, 92–97 (1972). https://doi.org/10.1007/BF02129989
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DOI: https://doi.org/10.1007/BF02129989