Upper bounds on dynamic deformations of elastoplastic continua

Summary Suitable measures of plastic and of total deflections developed over a time interval by an elastic-perfectly plastic continuous structure in the presence of significant inertia and viscous forces, is shown to be bounded from above by a quantity which can be evaluated merely on the basis of a linear-elastic dynamic analysis. The results achieved are extended to elastic-workhardening bodies under the assumption of piecewiselinear yield surfaces. The practical use of the present results is checked comparatively by a simple example.

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Sommario Si mostra come misure opportunamente definite delle deformazioni plastiche o totali che si sviluppano in un certo intervallo di tempo in un continuo perfettamente elastoplastico soggetto ad azioni dinamiche, siano delimitate superiormente da quantità valutabili attraverso un'analisi dinamica in campo elastico-lineare. I risultati ottenuti vengono estesi a materiali incrudenti, mediante linearizzazione a tratti della superficie di snervamento. La loro utilizzabilità pratica è illustrata da unsemplice esempio.

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Paper accepted for presentation at the Second Bulgarian Congress of Theoretical and Applied Mechanics, Varna, 8–14 October 1973.