Material Transport of Sets and Fields

@inproceedings{Casey2002MaterialTO,
  title={Material Transport of Sets and Fields},
  author={James Casey and Panayiotis Papadopoulos},
  year={2002}
}
We provide definitions for the “material transport”, or “comateriality”, of various mathematical objects of physical interest in continuum mechanics. Use is made of the concept of Lie dragging, i.e. of “pushing forward” and “pulling back” objects along path lines. Vectors in a Euclidean space can be comaterial in only two different senses, related to the behavior of their contravariant and covariant convected components; second-order tensors, regarded as linear transformations on a Euclidean… CONTINUE READING

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Pseudo-rigid continua: basic theory and a geometrical derivation of Lagrange's equations

  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
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