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Extension to continua of some minimum theorems in elastoplastic theory

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Sommario

Si studia la risposta di un generico continuo soggetto ad assegnati carichi quando per il materiale sì assumano le ipotesi di assenza di interazione e di normalità. Introdotto un funzionale delle deformazioni plastiche incrementali e delle deformazioni plastiche soddisfacenti leggi di scorrimento olonomo ed anolonomo, si determinano delle proprietà di minimo che estendono al continuo alcuni teoremi di minimo per sistemi strutturali discreti.

Summary

A study of the response of a continuum to given loads is carried out assuming a piecewise linear yield locus, normality, non-interacting yield planes and linear strain bardening. Minimum properties are determined for the plastic strain rates in the incremental case and for plastic strains satisfying holonomic and non-holonomic stress-strain laws, thus extending to continua the minimum properties determined elsewhere for discrete structural linear hardening systems.

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References

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Authors and Affiliations

  1. Istituto di Scienza delle Costruzioni, Politecnico di Milano, Italy

    Osvaldo De Donato

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  1. Osvaldo De Donato
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Study supported by the C.N.R. (Plasticity Group).

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De Donato, O. Extension to continua of some minimum theorems in elastoplastic theory. Meccanica 3, 259–264 (1968). https://doi.org/10.1007/BF02186945

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  • DOI: https://doi.org/10.1007/BF02186945

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