In this paper we consider the structure of the symmetry group of some important mechanical theories (nonlinear elasticity and fluids of grade n). We discuss why the invariance with respect to some well-known transformations must be used with care and we explain why some of these universal transformations are useless to obtain invariant solutions of physical significance.
Bogus transformations in mechanics of continua
PUCCI, Edvige;SACCOMANDI, Giuseppe;VITOLO, RAFFAELE
2016
Abstract
In this paper we consider the structure of the symmetry group of some important mechanical theories (nonlinear elasticity and fluids of grade n). We discuss why the invariance with respect to some well-known transformations must be used with care and we explain why some of these universal transformations are useless to obtain invariant solutions of physical significance.File in questo prodotto:
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