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Constraint manifolds with constant reaction spaces

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Sommario

Le equazioni costitutive per i materiali con vincoli interni forniscono il tensore degli sforzi solo a meno di una reazione che deve appartenere ad un appropriato spazio. Si dimostra come l'ipotesi che questo spazio sia indipendente dalla configurazione locale del corpo restringa la classe dei vincoli possibili.

Summary

Constitutive equations for materials with internal constraints prescribe the stress tensor only to within a reaction which must belong to an appropriate space. We prove how the assumption that this reaction space be independent from the local configuration of the body restricts the class of possible constraints.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Maurizio Vianello

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  1. Maurizio Vianello
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Vianello, M. Constraint manifolds with constant reaction spaces. Meccanica 25, 189–191 (1990). https://doi.org/10.1007/BF01556440

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  • DOI: https://doi.org/10.1007/BF01556440

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