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In cinematica dei continui si ricorre al teorema di decomposizione polare dell'algebra lineare per risolvere localmente una deformazione nella successione di una deformazione pura e di una rotazione; Grioli [4] ha mostrato che tale rotazione è l'approssimazione rigida di minima distanza dalla deformazione data. In questo articolo si mostra come una caratterizzazione variazionale del tipo di Grioli conduca naturalmente a stabilire il teorema di decomposizione polare.
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