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A note on frame indifference and material isomorphism for simple materials

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Author

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.

Department/s

Publishing year

2015

Language

English

Pages

461-479

Publication/Series

Mathematics and Mechanics of Solids

Volume

20

Issue

4

Document type

Journal article

Publisher

SAGE Publications

Topic

  • Applied Mechanics

Keywords

  • Continuum mechanics
  • framings
  • objectivity
  • frame indifference
  • material
  • isomorphism

Status

Published

ISBN/ISSN/Other

  • ISSN: 1741-3028