Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

About coordinate transformation of tensor.

  1. Jul 28, 2012 #1
    note:The tensors in the new coordinates system are represented by X'.
    I have a question about the coordinate transformation of tensor.

    σmn=amianjσ'ij; (1)

    ωpq=apkaqlω'kl; (2)

    In the original coordinates system, we have
    σmn = Dmpnqωpq, (3)

    Substituting Eqs.(1) and (2) into Eq.(3), one obtains,
    amianjσ'ij=Dmpnqapkaqlω'kl (4)

    σ'ij=amianjapkaqlDmpnqω'kl (5)

    Here is the problem. How was the Eq.(5) obtained from the Eq.(4). I can't really understand, because the items amianjapkaql have changed their position, but their subscript don't change.
    Is there any books talking about that?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted