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Definition of the Lagrangian finite strain tensor

  1. Sep 3, 2010 #1
    The Lagrangian finite strain tensor is defined as:

    [tex]E_{i,j}=\frac{1}{2}\left(\frac{\partial x_k}{\partial X_i}\frac{\partial x_k}{\partial X_j}-\delta _{i,j}\right)[/tex]

    Is it in Einstein Notation so that there is a summation symbol missing, i.e. would it be the same thing if one wrote it as:

    [tex]E_{i,j}=\frac{1}{2}\left(\sum _k \left(\frac{\partial x_k}{\partial X_i}\frac{\partial x_k}{\partial X_j}\right)-\delta _{i,j}\right)[/tex]

    It's that there is too many indices in mechanics, and it always gets me confused. Thanks a lot! :smile:
    Last edited: Sep 3, 2010
  2. jcsd
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