Bogus transformations in mechanics of continua. (February 2016)

• Record Type: Journal Article
• Authors: Pucci, Edvige; Saccomandi, Giuseppe; Vitolo, Raffaele
• Is Part Of: International journal of engineering science. Volume 99(2016:Feb.)
• Page Start: 13
• Page End: 21
• Publication Date: 2016-02
• Subjects: Symmetry -- Continuum mechanics -- Fluid mechanics -- Cauchy elasticity; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2015.10.009
• Languages: English
• ISSNs: 0020-7225

Abstract

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.