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Inequalities sufficient for material stability in finite elasticity

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Sommario

Vengono discusse alcune restrizioni sulla funzione di risposta dei solidi elastici isotropi in deformazioni finite. Queste restrizioni sono determinate da una versione locale della classica definizione di stabilità infinitesima di Hadamard, qui considerata come una diseguaglianzaa priori sotto certe condizioni che non sono verificate da tutte le possibili configurazioni deformate.

Summary

Some restrictions on the response function of isotropic elastic solids under finite strain are discussed. These restrictions follow when a strong localization of the classical Hadamard condition of infinitesimal stability is adopted as an a priori inequality under certain side conditions which are not fullfilled by all of the possible strained states.

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Angotti, F. Inequalities sufficient for material stability in finite elasticity. Meccanica 13, 83–89 (1978). https://doi.org/10.1007/BF02128536

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  • DOI: https://doi.org/10.1007/BF02128536

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