Sommario
In questa nota viene riesaminata l'interpretazione classica del tensore di rotazione media di Cauchy e Novozhilov. Preliminarmente, si mostra come due tratti distintivi di questa interpretazione ne limitino l'ampiezza e riflettano una severa restrizione della classe delle deformazioni ammissibili. Successivamente, si perviene ad una misura alternativa di rotazione media, il cui calcolo esplicito è condotto nei casi di rotazioni pure, deformazioni pure e rotazioni ≪additivamente≫ pure.
Summary
Firstly, the classical interpretation of the mean rotation tensor of Cauchy and Novozhilov is revised. Indeed, two distinctive and defective features of this interpretation reflect a severe restriction on the class of admissible deformations. Secondly, an alternative measure of mean rotation is introduced and its explicit aspect for pure rotations, pure strains and ≪additively≫ pure rotations is determined.
References
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Marzano, S. On mean rotations in finite deformations. Meccanica 22, 223–226 (1987). https://doi.org/10.1007/BF01573816
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DOI: https://doi.org/10.1007/BF01573816