- #1
Tensel
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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)
then,
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?
thanks.
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)
then,
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?
thanks.