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A question on a notation used in hyperelastic literature

  1. Oct 23, 2015 #1
    Could someone please tell me what the tilde sign stands for in this equation:

    $$w_{0}\left(e_{ij}\right)=\int s_{ij}d\tilde{e_{ij}}=\frac{1}{2}\,\underline{\underline{s}}:\underline{\underline{e}}$$

    where and ##\underline{\underline{e}}## is the Green Lagrangian strain tensor and ##\underline{\underline{s}}## is the 2nd Piola-Kirchoff stress tensor, if I'm not mistaken ##w_{0}## is the strain energy in the material reference frame.

    I have been trying to find out but no luck yet. I thought it was the Voigt notation but apparently it isn't. I have seen this notation in a lot of literature related to hyperelastic materials which I think uses the same symbol, for instance:

    p.s. I am not sure how to create inline equations here. I would appreciate it if someone edited this or told me how.


    [1]: http://www.mse.berkeley.edu/groups/morris/MSE205/Extras/Elastic.pdf
    Last edited: Oct 23, 2015
  2. jcsd
  3. Oct 23, 2015 #2


    User Avatar

    Staff: Mentor

    Enclose the equations in ## delimiters. (not $)
  4. Oct 23, 2015 #3
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