A note on frame indifference and material isomorphism for simple materials
Författare
Summary, in English
In conventional presentations of continuum mechanics, the reference placement of a solid body is taken to be independent of the observer. Furthermore, the Euclidean spaces associated with different frames of reference are taken to be identical. In this paper these assumption are abandoned and different framings, as well as reference placements, will correspond to different Euclidean spaces. This requires a modified formulation of the principle of frame indifference for constitutive response functions. Consequences of this approach are investigated in terms of transformation formulas for kinematical and dynamical quantities and the reduction of constitutive equations for simple materials. A relation between material symmetry groups, relative to different framings, is derived.
Avdelning/ar
Publiceringsår
2015
Språk
Engelska
Sidor
461-479
Publikation/Tidskrift/Serie
Mathematics and Mechanics of Solids
Volym
20
Issue
4
Dokumenttyp
Artikel i tidskrift
Förlag
SAGE Publications
Ämne
- Applied Mechanics
Nyckelord
- Continuum mechanics
- framings
- objectivity
- frame indifference
- material
- isomorphism
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1741-3028