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Bounding principles for elastic-plastic-creeping solids loaded below and above the shakedown limit

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Sommario

Si considerano solidi elasto-plasto-viscosi (senza incrudimento) sottoposti a carichi variabili e, nell'ipotesi di spostamenti infinitesimi, viene formulato un principio di maggiorazione valevole sia per carichi al di sotto, che al di sopra del limite di adattamento (shakedown). Mediante la scelta di taluni parametri liberi, il suddetto principio dà luogo a molteplici casi particolari di valore pratico, alcuni dei quali ripropongono risultati già noti per materiali viscosi e non, altri costituiscono risultati nuovi o generalizzazioni di risultati noti. L'argomento sarà ripreso in un successivo lavoro [35].

Summary

Solids of elastic-perfectly plastic creeping material subjected to variable loads are considered within the infinitesimal displacement framework and a bounding principle is presented which holds below and above the shakedown limit. Through the choice of some free parameters, this principle generates a number of deformation bounds with practical meanings, some of wich coincide with known results for creeping and noncreeping material, while others constitute new results or generalizations of known results. The topic will be further studied in a subsequent paper [35].

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Authors and Affiliations

  1. Istituto di Scienza delle Costruzioni, Facoltà di Ingegneria, Università di Palermo, Italy

    Castrenze Polizzotto

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  1. Castrenze Polizzotto
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This paper is part of a research project sponsored by the National (Italian) Research Council, C.N.R., Structural Engineering Group.

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Polizzotto, C. Bounding principles for elastic-plastic-creeping solids loaded below and above the shakedown limit. Meccanica 17, 143–148 (1982). https://doi.org/10.1007/BF02128397

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