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Elastic solid

  1. Sep 8, 2009 #1
    1. The problem statement, all variables and given/known data

    Show that the constitutive equation for an elastic solid can be expressed in the form:


    2. Relevant equations

    A constitutive equation for finite elastic solid is:

    where [tex]\gamma[/tex]=[tex]\frac{1}{2}[/tex](C-I) (I is the identity matrix)

    3. The attempt at a solution

    so therefore i have to show that [tex]\frac{\partial(W)}{\partial(CRS)}[/tex]+[tex]\frac{\partial(W)}{\partial(CSR)}[/tex]=[tex]\frac{1}{2}[/tex]([tex]\frac{\partial(W)}{\partial(\gammaRS)}[/tex]+[tex]\frac{\partial(W)}{\partial(\gammaSR)}[/tex])
    using the fact that [tex]\gamma[/tex]=[tex]\frac{1}{2}[/tex](C-I),

    so what do i do with the (1/2)I, did i make a mistake?
  2. jcsd
  3. Sep 8, 2009 #2
    oh no, the latex didnt come out right...and it took me ages!!! i hope it looks understandable.
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