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Objectivity in classical continuum physics: A rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations

Murdoch, A.I. (2003) Objectivity in classical continuum physics: A rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations. Continuum Mechanics and Thermodynamics, 15. pp. 309-320. ISSN 0935-1175

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Abstract

Individual aspects of observer consensus are discussed in the context of classical continuum physics. These are shown to be sufficient to mandate standard restrictions upon response functions employed in constitutive relations by any given observer. No a priori assumption is made that observers should employ the same response functions, and restrictions are shown to involve only proper orthogonal tensors. Since the 'principle of material invariance under superposed rigid motions' (interpreted in the sense of 'one observer, two motions') is not needed to establish such restrictions, and imposes a requirement upon Nature that kinetic theory has shown to be questionable, this 'principle' serves no useful purpose and should be discarded.

Item type: Article
ID code: 2132
Keywords: objectivity, material frame-indifference, continuum mechanics, physics, invariance, Mathematics, Physics and Astronomy(all), Mechanics of Materials, Materials Science(all)
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 23 Nov 2006
    Last modified: 04 Sep 2014 11:41
    URI: http://strathprints.strath.ac.uk/id/eprint/2132

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