Sommario
Viene presentato un teorema che fornisce una formulazione variazionale per le condizioni di compatibilità e di plasticità nei corpi rigido-perfettamente plastici attraverso le più generali funzioni di sforzo. Viene anche mostrata la relazione esistente tra tale teorema ed un noto principio variazionale dell'analisi limite. Un semplice esempio di applicazione ad un caso assialsimmetrico piano illustra il tipo di problemi al contorno governati dal teorema qui presentato.
Summary
A theorem is given which provides variational formulation for compatibility and plasticity conditions in rigid-perfectly plastic solids, through the most general stress functions. The relation existing between this theorem and a known variational principle of limit analysis is shown. The type of boundary value problems governed by the proposed theorem is illustrated by means of a simple example at the end.
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The results presented in this paper are part of a research supported by the (Italian) National Research Council (C.N.R.).
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Faccioli, E. A variational theorem for Mises' solids based on stress potentials. Meccanica 4, 314–320 (1969). https://doi.org/10.1007/BF02133097
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DOI: https://doi.org/10.1007/BF02133097