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Tensor derivative in continuum mechanics

  1. Feb 22, 2010 #1
    i am currently reading a book about continuum mechanics. they define derivatives of tensor valued functions of tensors in such way:
    http://en.wikipedia.org/wiki/Tensor_derivative_(continuum_mechanics [Broken])
    it seems to be related covariant derivative, but i can not figure out its meaning in physics or maths.
    i just try to understand why it should be defined in such way.
    any talk will be appreciate.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Feb 23, 2010 #2
    in other words, if we have a connection, how it acts on tensors.
     
  4. Feb 24, 2010 #3
    ok, it has nothing to do with covariant derivative, seems to be some kinds of direction derivative in vector space. still unware of its meaning.
     
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