Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

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

Full text not available in this repository. (Request a copy from the Strathclyde author)

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.